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Particle pinning effect on grain boundary and double peak-aging characteristic in a hot-extruded Mg-Zn-based alloy
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-02 DOI: 10.1016/j.ijplas.2025.104324
Wei Liu , Kaile Wang , Yuntao Zhang , Chuan Shuai , Taoze Xie , Wenyu Liu , Hua Hou , Yuhong Zhao
To overcome bottleneck of strength-ductility trade-off is a challenge in Mg-Zn-based alloys. In this work, we develop an age-hardening Mg-1.0Zn-0.1Ca-0.1Al-0.1Mn (wt. %) hot-extruded alloy with better strength-ductility synergy by synergistic heterostructure and nanoprecipitate, exhibiting a tensile yield strength of 352 MPa, an ultimate tensile strength of 413 MPa and an elongation of 15.2 %, respectively. Besides, dynamic recrystallization and dynamic precipitation at different die angles (30° and 90°) and extrusion temperatures (220 °C, 235 °C and 250 °C), and aging precipitation are systematically investigated. Particle pinning effect on grain boundary (GB) considering particle radius and strengthening effects are further clarified. Firstly, under large die angle (90°) and low extrusion temperature (220 °C), typical heterostructure containing recrystallized regions and non-recrystallized regions is achieved due to significant particle pinning effect of nanoscale Ca2Mg6Zn3 and Al8Mn5 particles, and solute dragging effect of Zn and Ca elements on GB. Phase-field simulation and experimental validation showing the evolution of bow-shape GB under significant particle pinning force during the particle-GB interaction. Meanwhile, the phase-field simulations show that the maximum particle pinning force is enhanced as increasing of the particle radius. Secondly, upon ageing at 180 °C, a distinct double peak-aging characteristic emerges in the hetero-structured Mg-1.0Zn-0.1Ca-0.1Al-0.1Mn hot-extruded alloy. The first ageing peak mainly arises from the precipitation of GP zones, while the second ageing peak primarily originates from the co-precipitation of β1’ and β2’ phases. Finally, hetero-deformation induced strengthening, nanoprecipitate-reinforced Orowan strengthening and deformation coordination by twins and non-basal slips contribute to the strength-ductility synergy. These results provide valuable insights for developing high-performance Mg-Zn-based alloys.
{"title":"Particle pinning effect on grain boundary and double peak-aging characteristic in a hot-extruded Mg-Zn-based alloy","authors":"Wei Liu ,&nbsp;Kaile Wang ,&nbsp;Yuntao Zhang ,&nbsp;Chuan Shuai ,&nbsp;Taoze Xie ,&nbsp;Wenyu Liu ,&nbsp;Hua Hou ,&nbsp;Yuhong Zhao","doi":"10.1016/j.ijplas.2025.104324","DOIUrl":"10.1016/j.ijplas.2025.104324","url":null,"abstract":"<div><div>To overcome bottleneck of strength-ductility trade-off is a challenge in Mg-Zn-based alloys. In this work, we develop an age-hardening Mg-1.0Zn-0.1Ca-0.1Al-0.1Mn (wt. %) hot-extruded alloy with better strength-ductility synergy by synergistic heterostructure and nanoprecipitate, exhibiting a tensile yield strength of 352 MPa, an ultimate tensile strength of 413 MPa and an elongation of 15.2 %, respectively. Besides, dynamic recrystallization and dynamic precipitation at different die angles (30° and 90°) and extrusion temperatures (220 °C, 235 °C and 250 °C), and aging precipitation are systematically investigated. Particle pinning effect on grain boundary (GB) considering particle radius and strengthening effects are further clarified. Firstly, under large die angle (90°) and low extrusion temperature (220 °C), typical heterostructure containing recrystallized regions and non-recrystallized regions is achieved due to significant particle pinning effect of nanoscale Ca<sub>2</sub>Mg<sub>6</sub>Zn<sub>3</sub> and Al<sub>8</sub>Mn<sub>5</sub> particles, and solute dragging effect of Zn and Ca elements on GB. Phase-field simulation and experimental validation showing the evolution of bow-shape GB under significant particle pinning force during the particle-GB interaction. Meanwhile, the phase-field simulations show that the maximum particle pinning force is enhanced as increasing of the particle radius. Secondly, upon ageing at 180 °C, a distinct double peak-aging characteristic emerges in the hetero-structured Mg-1.0Zn-0.1Ca-0.1Al-0.1Mn hot-extruded alloy. The first ageing peak mainly arises from the precipitation of GP zones, while the second ageing peak primarily originates from the co-precipitation of β<sub>1</sub>’ and β<sub>2</sub>’ phases. Finally, hetero-deformation induced strengthening, nanoprecipitate-reinforced Orowan strengthening and deformation coordination by twins and non-basal slips contribute to the strength-ductility synergy. These results provide valuable insights for developing high-performance Mg-Zn-based alloys.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"189 ","pages":"Article 104324"},"PeriodicalIF":9.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143766636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ultra-high temperature diffusion in multi-principal element alloys: Experiment, simulation and theory
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-30 DOI: 10.1016/j.ijplas.2025.104322
Fusheng Tan , Zijie Shi , Quanfeng He , Bin Liu , Ao Fu , Zecheng Wu , Zhenbo Wang , Peter K. Liaw , Jia Li , Yong Yang , Qihong Fang
Multi-principal element alloys (MPEAs) have garnered significant attention due to their exceptional performance under extreme conditions such as high temperatures and irradiation, yet their diffusion behavior and mechanisms at elevated temperatures remain elusive. In this work, we investigate the diffusivity of a NixCoCr alloy system under high temperature conditions as a model for MPEAs. Our findings reveal that, the alloys with high mixing entropy exhibit unexpectedly diffusivity at ultra-high temperatures, challenging the conventional wisdom that diffusion in high-entropy alloys is typically sluggish. Based on tight-binging model, it is revealed that severe lattice distortion and electron interaction in high-entropy systems markedly weaken the atomic bonding strength. This phenomenon significantly reduces the vacancy formation energy and substantially increases the vacancy concentration especially at high temperature, thereby counteracting the inhibitory effect of reduced vacancy jump frequency on diffusion due to lattice distortion. This discovery not only provides new insights into the diffusion mechanisms of high-entropy alloys under extreme conditions but also holds significant implications for the design and optimization of high-performance materials suitable for extreme environments.
多主元素合金(MPEAs)因其在高温和辐照等极端条件下的优异性能而备受关注,但其在高温下的扩散行为和机理仍然难以捉摸。在这项研究中,我们以 NixCoCr 合金体系作为 MPEAs 的模型,研究其在高温条件下的扩散性。我们的研究结果表明,具有高混合熵的合金在超高温条件下会表现出意想不到的扩散性,这对传统观点(即高熵合金中的扩散通常是缓慢的)提出了挑战。基于紧键模型,研究揭示了高熵体系中严重的晶格畸变和电子相互作用显著削弱了原子结合强度。这一现象大大降低了空位形成能,并显著增加了空位浓度,尤其是在高温下,从而抵消了由于晶格畸变导致的空位跃迁频率降低对扩散的抑制作用。这一发现不仅为研究极端条件下高熵合金的扩散机制提供了新的视角,而且对设计和优化适用于极端环境的高性能材料具有重要意义。
{"title":"Ultra-high temperature diffusion in multi-principal element alloys: Experiment, simulation and theory","authors":"Fusheng Tan ,&nbsp;Zijie Shi ,&nbsp;Quanfeng He ,&nbsp;Bin Liu ,&nbsp;Ao Fu ,&nbsp;Zecheng Wu ,&nbsp;Zhenbo Wang ,&nbsp;Peter K. Liaw ,&nbsp;Jia Li ,&nbsp;Yong Yang ,&nbsp;Qihong Fang","doi":"10.1016/j.ijplas.2025.104322","DOIUrl":"10.1016/j.ijplas.2025.104322","url":null,"abstract":"<div><div>Multi-principal element alloys (MPEAs) have garnered significant attention due to their exceptional performance under extreme conditions such as high temperatures and irradiation, yet their diffusion behavior and mechanisms at elevated temperatures remain elusive. In this work, we investigate the diffusivity of a Ni<sub>x</sub>CoCr alloy system under high temperature conditions as a model for MPEAs. Our findings reveal that, the alloys with high mixing entropy exhibit unexpectedly diffusivity at ultra-high temperatures, challenging the conventional wisdom that diffusion in high-entropy alloys is typically sluggish. Based on tight-binging model, it is revealed that severe lattice distortion and electron interaction in high-entropy systems markedly weaken the atomic bonding strength. This phenomenon significantly reduces the vacancy formation energy and substantially increases the vacancy concentration especially at high temperature, thereby counteracting the inhibitory effect of reduced vacancy jump frequency on diffusion due to lattice distortion. This discovery not only provides new insights into the diffusion mechanisms of high-entropy alloys under extreme conditions but also holds significant implications for the design and optimization of high-performance materials suitable for extreme environments.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104322"},"PeriodicalIF":9.4,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143736356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deformation behavior and strengthening mechanisms of high-entropy alloys under high strain rate across wide temperature ranges
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-28 DOI: 10.1016/j.ijplas.2025.104321
Keyan Wang , Zijian Cheng , Changyu Liu , Haiping Yu , Zhiliang Ning , Parthiban Ramasamy , Jürgen Eckert , Jianfei Sun , Yongjiang Huang , Yanming Zhang , Alfonso H.W. Ngan
This study systematically investigates the deformation mechanism and strengthening effects of the CoCrFeNiMn0.75Cu0.25 high-entropy alloy (HEA) under dynamic tensile loading across a wide temperature range (93 K to 1073 K). The HEA exhibits a ∼30 % enhancement in strength and ductility at 93 K relative to its performance at 298 K. These superior properties result from the synergistic interactions among deformation bands, stacking faults, multiscale twinning, dislocations, and Lomer-Cottrell (L-C) locks, which enhance work hardening and delay fracture. At 873 K, dislocation slip becomes dominant, and dynamic recovery is activated, facilitating stress redistribution and more uniform macroscopic deformation. At 1073 K, discontinuous dynamic recrystallization occurs within deformation bands, producing refined grains that redistribute stress and maintain elongation above 60 %, ensuring superior plasticity despite thermal softening. These findings indicate that temperature strongly influences microstructural evolution, with thermally activated dislocation motion, recovery, and recrystallization playing critical roles in determining the deformation response at high strain rates. This study provides new insights into the temperature-dependent strengthening mechanisms in HEAs, which have implications for the development of advanced materials for extreme environments.
{"title":"Deformation behavior and strengthening mechanisms of high-entropy alloys under high strain rate across wide temperature ranges","authors":"Keyan Wang ,&nbsp;Zijian Cheng ,&nbsp;Changyu Liu ,&nbsp;Haiping Yu ,&nbsp;Zhiliang Ning ,&nbsp;Parthiban Ramasamy ,&nbsp;Jürgen Eckert ,&nbsp;Jianfei Sun ,&nbsp;Yongjiang Huang ,&nbsp;Yanming Zhang ,&nbsp;Alfonso H.W. Ngan","doi":"10.1016/j.ijplas.2025.104321","DOIUrl":"10.1016/j.ijplas.2025.104321","url":null,"abstract":"<div><div>This study systematically investigates the deformation mechanism and strengthening effects of the CoCrFeNiMn<sub>0.75</sub>Cu<sub>0.25</sub> high-entropy alloy (HEA) under dynamic tensile loading across a wide temperature range (93 K to 1073 K). The HEA exhibits a ∼30 % enhancement in strength and ductility at 93 K relative to its performance at 298 K. These superior properties result from the synergistic interactions among deformation bands, stacking faults, multiscale twinning, dislocations, and Lomer-Cottrell (L-C) locks, which enhance work hardening and delay fracture. At 873 K, dislocation slip becomes dominant, and dynamic recovery is activated, facilitating stress redistribution and more uniform macroscopic deformation. At 1073 K, discontinuous dynamic recrystallization occurs within deformation bands, producing refined grains that redistribute stress and maintain elongation above 60 %, ensuring superior plasticity despite thermal softening. These findings indicate that temperature strongly influences microstructural evolution, with thermally activated dislocation motion, recovery, and recrystallization playing critical roles in determining the deformation response at high strain rates. This study provides new insights into the temperature-dependent strengthening mechanisms in HEAs, which have implications for the development of advanced materials for extreme environments.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"189 ","pages":"Article 104321"},"PeriodicalIF":9.4,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143723415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Superior strength-ductility synergy of Al-Si-Cu-Mg alloys achieved by regulating solute clusters and precipitates: Experimental validation and numerical simulation 通过调节溶质团和沉淀物实现铝-硅-铜-镁合金卓越的强度-电导率协同效应:实验验证和数值模拟
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-25 DOI: 10.1016/j.ijplas.2025.104320
Li-Wen Xue , Hai-Long Jia , Jin-Kai Wang , Min Zha , Shen-Bao Jin , Hui-Yuan Wang
In this work, a double-stage aging (i.e., pre-aging plus second-aging) strategy has been conducted on an Al-8Si-2Cu-0.5Mg alloy to comprehensively investigate the formation of solute clusters during pre-aging and their impact on the subsequent precipitation behavior during second-aging. Particularly, strengthening and toughening mechanisms for enhanced mechanical properties of the double-stage aged (DA) Al-8Si-2Cu-0.5Mg alloy have been revealed in comparison to the single-stage aged (SA) counterpart. A combination of Cs-corrected transmission electron microscope (TEM), atom probe tomography (APT), first-principles calculations and molecular dynamic (MD) simulations is employed. The results reveal a marked tendency for Mg-Si-Cu cluster formation during pre-aging. This cluster growth is accompanied by preferential Mg enrichment within the clusters, i.e., the Mg:(Si+Cu) ratio of clusters shows an increasing trend during second-aging at 165 °C. This results in a high density of both Mg-Si-Cu clusters and mixed sub-unit precipitates in the peak-aged DA Al-Si-Cu-Mg alloy, which demonstrates a superior synergy of strength and ductility. The yield strength (YS) of both the peak-aged SA and DA alloys are nearly identical (∼295 MPa), while the elongation (EL) of the peak-aged DA alloy (∼14.2 %) is superior to that of the peak-aged SA alloy (∼9.2 %). MD simulations elucidate the toughening mechanism, i.e., Mg-Si-Cu clusters and mixed sub-unit precipitates induce weak stress concentrations, present a viable option for optimizing the strength-ductility balance. This research provides valuable insights into the microstructure evolution of Al-Si-Cu-Mg alloys during aging treatments, offering potential avenues for strength-ductility synergy of Al-Si-Cu-Mg alloys.
{"title":"Superior strength-ductility synergy of Al-Si-Cu-Mg alloys achieved by regulating solute clusters and precipitates: Experimental validation and numerical simulation","authors":"Li-Wen Xue ,&nbsp;Hai-Long Jia ,&nbsp;Jin-Kai Wang ,&nbsp;Min Zha ,&nbsp;Shen-Bao Jin ,&nbsp;Hui-Yuan Wang","doi":"10.1016/j.ijplas.2025.104320","DOIUrl":"10.1016/j.ijplas.2025.104320","url":null,"abstract":"<div><div>In this work, a double-stage aging (i.e., pre-aging plus second-aging) strategy has been conducted on an Al-8Si-2Cu-0.5Mg alloy to comprehensively investigate the formation of solute clusters during pre-aging and their impact on the subsequent precipitation behavior during second-aging. Particularly, strengthening and toughening mechanisms for enhanced mechanical properties of the double-stage aged (DA) Al-8Si-2Cu-0.5Mg alloy have been revealed in comparison to the single-stage aged (SA) counterpart. A combination of Cs-corrected transmission electron microscope (TEM), atom probe tomography (APT), first-principles calculations and molecular dynamic (MD) simulations is employed. The results reveal a marked tendency for Mg-Si-Cu cluster formation during pre-aging. This cluster growth is accompanied by preferential Mg enrichment within the clusters, i.e., the Mg:(Si+Cu) ratio of clusters shows an increasing trend during second-aging at 165 °C. This results in a high density of both Mg-Si-Cu clusters and mixed sub-unit precipitates in the peak-aged DA Al-Si-Cu-Mg alloy, which demonstrates a superior synergy of strength and ductility. The yield strength (YS) of both the peak-aged SA and DA alloys are nearly identical (∼295 MPa), while the elongation (EL) of the peak-aged DA alloy (∼14.2 %) is superior to that of the peak-aged SA alloy (∼9.2 %). MD simulations elucidate the toughening mechanism, i.e., Mg-Si-Cu clusters and mixed sub-unit precipitates induce weak stress concentrations, present a viable option for optimizing the strength-ductility balance. This research provides valuable insights into the microstructure evolution of Al-Si-Cu-Mg alloys during aging treatments, offering potential avenues for strength-ductility synergy of Al-Si-Cu-Mg alloys.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104320"},"PeriodicalIF":9.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143703288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strain gradient-induced size effect of Nickel-Titanium shape memory alloys
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-24 DOI: 10.1016/j.ijplas.2025.104309
Jae-Hoon Choi , Hyemin Ryu , Ji-Young Kim , Kwang-Hyeok Lim , Gi-Dong Sim
This study investigates size effect in nickel-titanium (NiTi) shape memory alloys (SMAs), focusing on their elastic deformation and phase transformation behaviors. A series of experiments, including bulk-scale tension tests, micro-scale tension, compression, and cantilever bending tests, were conducted to observe the effect of specimen dimensions on SMA behavior. Micro-scale tension and compression tests unveiled a notable asymmetry in the phase transformation stress, irrespective of specimen dimensions. Moreover, micro-cantilever bending tests, spanning a thickness range from 1.9 to 21.0μm, revealed a significant increase in both the effective elastic modulus and phase transformation stress as the beam thickness decreased. A constitutive model has been developed to address the tension/compression asymmetry and size effect based on couple stress theory, and implemented in finite element analysis of beam structures. Finally, experimental results were compared with simulation outcomes, and the deformation mechanisms responsible for size effect were discussed. The growing prominence of SMAs in micro/nano-scale applications highlights the necessity of understanding and accounting for size effect. Therefore, developing the capability to measure and simulate size effect is crucial for ensuring the effective utilization of SMAs in these scales.
{"title":"Strain gradient-induced size effect of Nickel-Titanium shape memory alloys","authors":"Jae-Hoon Choi ,&nbsp;Hyemin Ryu ,&nbsp;Ji-Young Kim ,&nbsp;Kwang-Hyeok Lim ,&nbsp;Gi-Dong Sim","doi":"10.1016/j.ijplas.2025.104309","DOIUrl":"10.1016/j.ijplas.2025.104309","url":null,"abstract":"<div><div>This study investigates size effect in nickel-titanium (NiTi) shape memory alloys (SMAs), focusing on their elastic deformation and phase transformation behaviors. A series of experiments, including bulk-scale tension tests, micro-scale tension, compression, and cantilever bending tests, were conducted to observe the effect of specimen dimensions on SMA behavior. Micro-scale tension and compression tests unveiled a notable asymmetry in the phase transformation stress, irrespective of specimen dimensions. Moreover, micro-cantilever bending tests, spanning a thickness range from <span><math><mrow><mn>1.9</mn></mrow></math></span> to <span><math><mrow><mn>21.0</mn><mspace></mspace><mrow><mi>μ</mi><mi>m</mi></mrow></mrow></math></span>, revealed a significant increase in both the effective elastic modulus and phase transformation stress as the beam thickness decreased. A constitutive model has been developed to address the tension/compression asymmetry and size effect based on couple stress theory, and implemented in finite element analysis of beam structures. Finally, experimental results were compared with simulation outcomes, and the deformation mechanisms responsible for size effect were discussed. The growing prominence of SMAs in micro/nano-scale applications highlights the necessity of understanding and accounting for size effect. Therefore, developing the capability to measure and simulate size effect is crucial for ensuring the effective utilization of SMAs in these scales.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104309"},"PeriodicalIF":9.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143695298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A texture-dependent yield criterion based on Support Vector Classification
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-24 DOI: 10.1016/j.ijplas.2025.104311
Jan Schmidt , Surya R. Kalidindi , Alexander Hartmaier
Conventional yield criteria for anisotropic plasticity rely on linear transformations of the stress tensor to map the directional dependence of critical stress tensors at yield onset onto a unit sphere in stress space. These linear transformations are made material specific by a number of anisotropic parameters, which need to be determined by experimental procedures for each material. One drawback of this approach is that these anisotropic parameters cannot be explicitly expressed as functions of the crystallographic texture. Hence, any change in the texture of a material, as it occurs during cold deformation, requires a complete re-parametrization of the yield function. In this work, we present a data-oriented yield criterion based on Support Vector Classification (SVC) that is an explicit function of the crystallographic texture. This texture-dependency is achieved by including the coefficients of the general spherical harmonics (GSH) series expansion of the orientation distribution function (ODF) to the feature space of the machine learning model. The capabilities of the proposed yield criterion are demonstrated by training the model on a dataset containing micromechanical data from over 8000 distinct cubic-orthorhombic textures. The trained SVC combines the efficiency of classical phenomenological models with the flexibility of elaborate CP models. It provides a path to efficient hierarchical materials modeling as the anisotropy of the macroscopic yield onset is explicitly linked to the crystallographic texture.
各向异性塑性的传统屈服标准依赖于应力张量的线性变换,将屈服开始时临界应力张量的方向依赖性映射到应力空间的单位球体上。这些线性变换是通过一些各向异性参数使材料特定的,这些参数需要通过实验程序为每种材料确定。这种方法的一个缺点是,这些各向异性参数无法明确表示为晶体纹理的函数。因此,材料质地的任何变化,如在冷变形过程中发生的变化,都需要对屈服函数进行全面的重新参数化。在这项工作中,我们基于支持向量分类(SVC)提出了一种以数据为导向的屈服标准,它是晶体学纹理的明确函数。这种纹理依赖性是通过将取向分布函数(ODF)的一般球面谐波(GSH)序列展开系数纳入机器学习模型的特征空间来实现的。通过在包含来自 8000 多个不同立方正方体纹理的微观机械数据的数据集上训练模型,证明了所提出的屈服标准的能力。训练后的 SVC 将经典现象学模型的高效性与复杂 CP 模型的灵活性相结合。由于宏观屈服起始的各向异性与晶体学质地明确相关,因此它为高效的分层材料建模提供了一条途径。
{"title":"A texture-dependent yield criterion based on Support Vector Classification","authors":"Jan Schmidt ,&nbsp;Surya R. Kalidindi ,&nbsp;Alexander Hartmaier","doi":"10.1016/j.ijplas.2025.104311","DOIUrl":"10.1016/j.ijplas.2025.104311","url":null,"abstract":"<div><div>Conventional yield criteria for anisotropic plasticity rely on linear transformations of the stress tensor to map the directional dependence of critical stress tensors at yield onset onto a unit sphere in stress space. These linear transformations are made material specific by a number of anisotropic parameters, which need to be determined by experimental procedures for each material. One drawback of this approach is that these anisotropic parameters cannot be explicitly expressed as functions of the crystallographic texture. Hence, any change in the texture of a material, as it occurs during cold deformation, requires a complete re-parametrization of the yield function. In this work, we present a data-oriented yield criterion based on Support Vector Classification (SVC) that is an explicit function of the crystallographic texture. This texture-dependency is achieved by including the coefficients of the general spherical harmonics (GSH) series expansion of the orientation distribution function (ODF) to the feature space of the machine learning model. The capabilities of the proposed yield criterion are demonstrated by training the model on a dataset containing micromechanical data from over 8000 distinct cubic-orthorhombic textures. The trained SVC combines the efficiency of classical phenomenological models with the flexibility of elaborate CP models. It provides a path to efficient hierarchical materials modeling as the anisotropy of the macroscopic yield onset is explicitly linked to the crystallographic texture.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104311"},"PeriodicalIF":9.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143695299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Statistical evaluation of microscale stress conditions leading to void nucleation in the weak shock regime
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-23 DOI: 10.1016/j.ijplas.2025.104318
Noah J. Schmelzer , Evan J. Lieberman , Nan Chen , Samuel D. Dunham , Veronica Anghel , George T. Gray III , Curt A. Bronkhorst
We investigate the heterogeneity of the stress state driven by anisotropic deformation response at the single crystal level through five statistical volume element (SVE) calculations of polycrystalline BCC tantalum. This work focuses on grain boundaries as a prominent material defect type prone to void nucleation based upon experimental observations of predominantly intergranular void nucleation in this material. The SVEs are constructed to be statistically representative of larger volumes of material and are meshed such that mean and standard deviation of grain size and orientation information is reconstructed. The computational meshes feature hexahedral (brick) elements and smooth conformal grain boundaries where significant stress concentration is known to occur, a tail effect of interest in the extreme events process of dynamic ductile damage. An existing micromechanical crystallographic plasticity model shown to capture the single crystal behavior of BCC tantalum well is used to perform the polycrystal calculations. The model includes representation of the non-Schmid effect of non-planar screw dislocation kinetics in tantalum. A three-dimensional stress state time profile predicted by damage modeling of a flyer plate impact experiment is applied as boundary conditions to each SVE. Resulting grain boundary stress state statistics are strongly non-Gaussian. Significant structural evolution is observed within the compressive hold before unloading into tension in the stress profile. Strong angular dependence of grain boundary traction magnitude with shock direction is observed. Non-Schmid effects continue to suggest their influence on propensity of microstructural defect types to nucleate voids. A general void nucleation criterion is proposed using probability theory. The general framework is specified to polycrystalline BCC tantalum in the weak shock regime to include the SVE calculations and literature molecular dynamics calculations of grain boundary void nucleation strength. Probability density functions (PDFs) are used to describe the interaction between the local stress state heterogeneity and the distributed grain boundary void nucleation strength state. A causation entropy maximization procedure removes the requirement for ad hoc selection of a PDF functional form and provides a rigorous procedure for data-based PDF determination. The resulting physically informed PDF describes the spatial appearance frequency of nucleated voids as a function of applied macroscale pressure. Lower length scale physics are thus packaged in a precise and computationally efficient way to provide computational plasticity insight to macroscale dynamic ductile damage models.
{"title":"Statistical evaluation of microscale stress conditions leading to void nucleation in the weak shock regime","authors":"Noah J. Schmelzer ,&nbsp;Evan J. Lieberman ,&nbsp;Nan Chen ,&nbsp;Samuel D. Dunham ,&nbsp;Veronica Anghel ,&nbsp;George T. Gray III ,&nbsp;Curt A. Bronkhorst","doi":"10.1016/j.ijplas.2025.104318","DOIUrl":"10.1016/j.ijplas.2025.104318","url":null,"abstract":"<div><div>We investigate the heterogeneity of the stress state driven by anisotropic deformation response at the single crystal level through five statistical volume element (SVE) calculations of polycrystalline BCC tantalum. This work focuses on grain boundaries as a prominent material defect type prone to void nucleation based upon experimental observations of predominantly intergranular void nucleation in this material. The SVEs are constructed to be statistically representative of larger volumes of material and are meshed such that mean and standard deviation of grain size and orientation information is reconstructed. The computational meshes feature hexahedral (brick) elements and smooth conformal grain boundaries where significant stress concentration is known to occur, a tail effect of interest in the extreme events process of dynamic ductile damage. An existing micromechanical crystallographic plasticity model shown to capture the single crystal behavior of BCC tantalum well is used to perform the polycrystal calculations. The model includes representation of the non-Schmid effect of non-planar screw dislocation kinetics in tantalum. A three-dimensional stress state time profile predicted by damage modeling of a flyer plate impact experiment is applied as boundary conditions to each SVE. Resulting grain boundary stress state statistics are strongly non-Gaussian. Significant structural evolution is observed within the compressive hold before unloading into tension in the stress profile. Strong angular dependence of grain boundary traction magnitude with shock direction is observed. Non-Schmid effects continue to suggest their influence on propensity of microstructural defect types to nucleate voids. A general void nucleation criterion is proposed using probability theory. The general framework is specified to polycrystalline BCC tantalum in the weak shock regime to include the SVE calculations and literature molecular dynamics calculations of grain boundary void nucleation strength. Probability density functions (PDFs) are used to describe the interaction between the local stress state heterogeneity and the distributed grain boundary void nucleation strength state. A causation entropy maximization procedure removes the requirement for ad hoc selection of a PDF functional form and provides a rigorous procedure for data-based PDF determination. The resulting physically informed PDF describes the spatial appearance frequency of nucleated voids as a function of applied macroscale pressure. Lower length scale physics are thus packaged in a precise and computationally efficient way to provide computational plasticity insight to macroscale dynamic ductile damage models.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104318"},"PeriodicalIF":9.4,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Phase-specific tailoring strategy for synergetic and prolonged work hardening to achieve superior strength-plasticity in lamellar-structured alloy
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-22 DOI: 10.1016/j.ijplas.2025.104317
Yumeng Zhang , Ran Chen , Yixuan Hu , Chenyang Wang , Yao Shen , Xiaodong Wang
The pursuit of alloys that integrate high strength and substantial plasticity persists across various industries. Nevertheless, alloys engineered for elevated strength commonly manifest unsustainable work hardening, ultimately leading to a decline in plasticity. Dual- or even multi-phase systems offer vast potential for novel microstructural engineering aimed at harmonizing these inversely related property requirements. Here, heterogeneous lamellar structure consisting of alternating austenite and ferrite lamellae is explored to decouple and leverage the distinct roles of individual phases in a dual-phase system. This phase-specific tailoring strategy meticulously manipulates intra-phase microstructure, and tunes the lamella thickness to promote both high initial strength and prolonged work hardening. The significantly enhanced strength benefits from pre-existing defects, interfaces strengthening and quasi isostrain deformation mode while high plasticity originates from relatively uniform strain partitioning between phases across a wide strain range achieved through exploiting various hardening components. For austenite, prolonged work hardening is achieved by sequential utilization of dislocation hardening followed by martensitic transformation hardening. Moreover, the martensite laths in favorable configuration along with the retained austenite contribute to retarding cracking. For ferrite, wide-range work hardening is ensured by expanding the potential for dislocation activities which lowers initial density and raises peak density through reducing the space in the thickness dimension. Such innovation elevates the traditionally inferior work-hardening capability of high-strength BCC structure to an exceptional level. The resultant alloy, while boosting nearly twice the yield strength of its conventional counterpart, exhibits a total elongation of 45 %. This strategy holds potential for broad application across dual- and multi-phase systems and proposes a new avenue for enhancing plasticity in high-strength lamellar-structured alloys.
{"title":"Phase-specific tailoring strategy for synergetic and prolonged work hardening to achieve superior strength-plasticity in lamellar-structured alloy","authors":"Yumeng Zhang ,&nbsp;Ran Chen ,&nbsp;Yixuan Hu ,&nbsp;Chenyang Wang ,&nbsp;Yao Shen ,&nbsp;Xiaodong Wang","doi":"10.1016/j.ijplas.2025.104317","DOIUrl":"10.1016/j.ijplas.2025.104317","url":null,"abstract":"<div><div>The pursuit of alloys that integrate high strength and substantial plasticity persists across various industries. Nevertheless, alloys engineered for elevated strength commonly manifest unsustainable work hardening, ultimately leading to a decline in plasticity. Dual- or even multi-phase systems offer vast potential for novel microstructural engineering aimed at harmonizing these inversely related property requirements. Here, heterogeneous lamellar structure consisting of alternating austenite and ferrite lamellae is explored to decouple and leverage the distinct roles of individual phases in a dual-phase system. This phase-specific tailoring strategy meticulously manipulates intra-phase microstructure, and tunes the lamella thickness to promote both high initial strength and prolonged work hardening. The significantly enhanced strength benefits from pre-existing defects, interfaces strengthening and quasi isostrain deformation mode while high plasticity originates from relatively uniform strain partitioning between phases across a wide strain range achieved through exploiting various hardening components. For austenite, prolonged work hardening is achieved by sequential utilization of dislocation hardening followed by martensitic transformation hardening. Moreover, the martensite laths in favorable configuration along with the retained austenite contribute to retarding cracking. For ferrite, wide-range work hardening is ensured by expanding the potential for dislocation activities which lowers initial density and raises peak density through reducing the space in the thickness dimension. Such innovation elevates the traditionally inferior work-hardening capability of high-strength BCC structure to an exceptional level. The resultant alloy, while boosting nearly twice the yield strength of its conventional counterpart, exhibits a total elongation of 45 %. This strategy holds potential for broad application across dual- and multi-phase systems and proposes a new avenue for enhancing plasticity in high-strength lamellar-structured alloys.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104317"},"PeriodicalIF":9.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deformation mechanism of non-textured and basal-textured polycrystalline Mg alloys: A coupled crystal plasticity-twinning phase field simulation
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-19 DOI: 10.1016/j.ijplas.2025.104312
Jiachen Hu , Bo Xu , Junyuan Xiong , Chao Yu , Guozheng Kang
In this work, an improved crystal plasticity coupled twinning phase field is developed by introducing a hyperbolic hardening function describing the hardening resulting from dislocation slipping interactions. This model effectively captures the complex interactions of multiple plasticity mechanisms in non-textured (NT) and basal-textured (BT) polycrystalline Mg alloys under monotonic and tension-compression cyclic loadings. The results indicate that NT polycrystalline Mg alloy exhibit multi-mode plastic deformation combining basal/non-basal slipping and twinning due to random grain orientations, whereas BT polycrystalline Mg alloys predominantly activate one or two plastic deformation modes including the basal slipping, and the texture angle α (characterized the statistical average properties of the grain orientations) modulates plastic mechanism with selective sensitivity. Cyclic loading reveals tension-compression symmetry in NT and BT (α = 45°) systems, but asymmetry in BT (α = 0°/90°) due to alternating plastic mechanisms. De-twinning-induced nonlinear unloading emerges in both NT and BT polycrystalline systems, and inhomogeneous stress near grain boundaries and twin intersection regions impedes complete de-twinning, accumulating residual twins that facilitate subsequent nucleation. Dislocation slipping, particularly the basal slipping, accommodates strain incompatibility at grain boundaries and around twins, and demonstrates dual roles on twinning. Neighboring grain interactions induce anomalous local deformation inconsistent with the Schmid's law. These findings establish microstructure-property relationships supporting the development of texture-based strengthening-toughening strategies for Mg alloys.
在这项工作中,通过引入双曲硬化函数来描述位错滑动相互作用产生的硬化,开发了一种改进的晶体塑性耦合孪晶相场。该模型有效捕捉了单调载荷和拉伸-压缩循环载荷下无纹理(NT)和基底纹理(BT)多晶镁合金中多种塑性机制的复杂相互作用。结果表明,由于晶粒取向随机,NT 多晶镁合金表现出基底/非基底滑移和孪晶相结合的多模式塑性变形,而 BT 多晶镁合金主要激活一种或两种塑性变形模式,包括基底滑移,并且纹理角 α(表征晶粒取向的统计平均特性)以选择性敏感度调节塑性机制。循环加载在 NT 和 BT(α = 45°)体系中显示出拉伸-压缩对称性,但在 BT(α = 0°/90°)体系中由于交替塑性机制而显示出不对称性。NT和BT多晶体系中都出现了去捻引起的非线性卸载,晶界和孪晶交汇区附近的不均匀应力阻碍了完全去捻,积累了残余孪晶,促进了后续成核。位错滑动,尤其是基底滑动,可适应晶界和孪晶周围的应变不相容性,对孪晶起着双重作用。相邻晶粒间的相互作用会引起不符合施密德定律的异常局部变形。这些发现建立了微观结构与性能之间的关系,为开发基于质构的镁合金强化-增韧策略提供了支持。
{"title":"Deformation mechanism of non-textured and basal-textured polycrystalline Mg alloys: A coupled crystal plasticity-twinning phase field simulation","authors":"Jiachen Hu ,&nbsp;Bo Xu ,&nbsp;Junyuan Xiong ,&nbsp;Chao Yu ,&nbsp;Guozheng Kang","doi":"10.1016/j.ijplas.2025.104312","DOIUrl":"10.1016/j.ijplas.2025.104312","url":null,"abstract":"<div><div>In this work, an improved crystal plasticity coupled twinning phase field is developed by introducing a hyperbolic hardening function describing the hardening resulting from dislocation slipping interactions. This model effectively captures the complex interactions of multiple plasticity mechanisms in non-textured (NT) and basal-textured (BT) polycrystalline Mg alloys under monotonic and tension-compression cyclic loadings. The results indicate that NT polycrystalline Mg alloy exhibit multi-mode plastic deformation combining basal/non-basal slipping and twinning due to random grain orientations, whereas BT polycrystalline Mg alloys predominantly activate one or two plastic deformation modes including the basal slipping, and the texture angle <em>α</em> (characterized the statistical average properties of the grain orientations) modulates plastic mechanism with selective sensitivity. Cyclic loading reveals tension-compression symmetry in NT and BT (<em>α</em> = 45°) systems, but asymmetry in BT (<em>α</em> = 0°/90°) due to alternating plastic mechanisms. De-twinning-induced nonlinear unloading emerges in both NT and BT polycrystalline systems, and inhomogeneous stress near grain boundaries and twin intersection regions impedes complete de-twinning, accumulating residual twins that facilitate subsequent nucleation. Dislocation slipping, particularly the basal slipping, accommodates strain incompatibility at grain boundaries and around twins, and demonstrates dual roles on twinning. Neighboring grain interactions induce anomalous local deformation inconsistent with the Schmid's law. These findings establish microstructure-property relationships supporting the development of texture-based strengthening-toughening strategies for Mg alloys.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104312"},"PeriodicalIF":9.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143660548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tailoring fracture resistance of a metastable Fe42Mn28Co10Cr15Si5 high entropy alloy by intrinsic toughening
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-19 DOI: 10.1016/j.ijplas.2025.104315
Manoj Yadav , Niraj Nayan , Krishanu Biswas , N.P. Gurao
Metastable high entropy alloys (HEAs) provide an exceptional combination of strength and ductility by the synergistic operation of slip, twinning, and transformation; however, their fracture behaviour remains unexplored. In the present investigation, tensile and elastic-plastic fracture toughness tests with a 2D digital image correlation setup were carried out for different microstructural states of Fe42Mn28Co10Cr15Si5 HEA. Finite element analysis (FEA) coupled with combinatorial site-specific electron backscatter diffraction helps in developing a meso and micro scale mechanistic understanding of the extrinsic and intrinsic toughening processes. The calculated J-integral and plastic zone size using FEA simulations were corroborated with experimental results. The crack growth resistance (J-R) curve was evaluated across three distinct processing conditions: hot rolled (HR), 1 h annealed at 1173 K (AN1173), and 4 h annealed at 1373 K (AN1373). The HR material exhibited higher strength (yield strength = 630 ± 8 MPa), while the AN1373 demonstrated highest ductility (0.74 ± 0.04). The mode I plane strain fracture toughness was highest for the AN1373 (125.4 ± 15.8 MPa.m0.5) and lowest for the AN1173 (46.3 ± 7.4 MPa.m0.5). The Cr-rich sigma phase at grain boundaries in the HR and AN1173 led to pronounced intergranular fracture, resulting in lower fracture toughness and plasticity. The multiple variants of martensite in the AN1373 microstructural state, results in refined microstructure by interactions of transformation variants and dislocations that enhance the strength, ductility, and crack tip plasticity. The findings underscore the significant impact of intrinsic toughening on the fracture and deformation behaviour of the Fe42Mn28Co10Cr15Si5 HEA.
{"title":"Tailoring fracture resistance of a metastable Fe42Mn28Co10Cr15Si5 high entropy alloy by intrinsic toughening","authors":"Manoj Yadav ,&nbsp;Niraj Nayan ,&nbsp;Krishanu Biswas ,&nbsp;N.P. Gurao","doi":"10.1016/j.ijplas.2025.104315","DOIUrl":"10.1016/j.ijplas.2025.104315","url":null,"abstract":"<div><div>Metastable high entropy alloys (HEAs) provide an exceptional combination of strength and ductility by the synergistic operation of slip, twinning, and transformation; however, their fracture behaviour remains unexplored. In the present investigation, tensile and elastic-plastic fracture toughness tests with a 2D digital image correlation setup were carried out for different microstructural states of Fe<sub>42</sub>Mn<sub>28</sub>Co<sub>10</sub>Cr<sub>15</sub>Si<sub>5</sub> HEA. Finite element analysis (FEA) coupled with combinatorial site-specific electron backscatter diffraction helps in developing a meso and micro scale mechanistic understanding of the extrinsic and intrinsic toughening processes. The calculated J-integral and plastic zone size using FEA simulations were corroborated with experimental results. The crack growth resistance (J-R) curve was evaluated across three distinct processing conditions: hot rolled (HR), 1 h annealed at 1173 K (AN1173), and 4 h annealed at 1373 K (AN1373). The HR material exhibited higher strength (yield strength = 630 ± 8 MPa), while the AN1373 demonstrated highest ductility (0.74 ± 0.04). The mode I plane strain fracture toughness was highest for the AN1373 (125.4 ± 15.8 MPa.m<sup>0.5</sup>) and lowest for the AN1173 (46.3 ± 7.4 MPa.m<sup>0.5</sup>). The Cr-rich sigma phase at grain boundaries in the HR and AN1173 led to pronounced intergranular fracture, resulting in lower fracture toughness and plasticity. The multiple variants of martensite in the AN1373 microstructural state, results in refined microstructure by interactions of transformation variants and dislocations that enhance the strength, ductility, and crack tip plasticity. The findings underscore the significant impact of intrinsic toughening on the fracture and deformation behaviour of the Fe<sub>42</sub>Mn<sub>28</sub>Co<sub>10</sub>Cr<sub>15</sub>Si<sub>5</sub> HEA.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"188 ","pages":"Article 104315"},"PeriodicalIF":9.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143660564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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International Journal of Plasticity
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