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A novel approach for accurate development of the incremental plastic multiplier and consistent tangent operator in thermo-elasto-plastic modeling of materials 在材料热弹性塑性建模中精确开发增量塑性乘数和一致正切算子的新方法
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-18 DOI: 10.1016/j.mechmat.2024.105184
Morteza Sadeghifar , Rene Billardon , Denis Delagnes , Henri Champliaud , Antoine Tahan , Mohammad Jahazi
In the present research, new and accurate equations were developed for the incremental plastic multiplier (IPM) and the consistent tangent operator (CTO) to solve numerical problems in thermo-elasto-plastic (TEP) processes using the finite element method (FEM). To ensure accuracy, all material hardening coefficients were treated as temperature-dependent, and no terms and their derivatives in the analytical-mathematical solution were ignored. Two UMAT (User MATerial) subroutines with temperature-independent and temperature-dependent parameters were programmed for the EP and TEP behavior, respectively. Finite element models were created using both the Abaqus® built-in material models and the newly developed UMAT subroutines, designated as the reference and new models, respectively. In the reference model, flow stress was implemented using tabulated plastic strain and temperature data available in Abaqus®, while in the new model, the flow stress (yield function) was derived and numerically calculated based on the developed formulation. The new equations were successfully validated by comparing the results from the new model with those from the reference model. The developed IPM and CTO can be used for accurate predictions of strains, stresses, and temperatures in TEP problems, making them well-suited for industrial applications.
本研究为增量塑性乘数(IPM)和一致切线算子(CTO)建立了新的精确方程,用于使用有限元法(FEM)解决热弹性塑性(TEP)过程中的数值问题。为确保准确性,所有材料硬化系数都被视为与温度有关,分析数学解法中的任何项及其导数都未忽略。针对 EP 和 TEP 行为,分别使用与温度无关和与温度有关的参数编制了两个 UMAT(User MATerial)子程序。使用 Abaqus® 内置材料模型和新开发的 UMAT 子程序创建了有限元模型,分别称为参考模型和新模型。在参考模型中,流动应力是利用 Abaqus® 中的表列塑性应变和温度数据实现的,而在新模型中,流动应力(屈服函数)是根据开发的公式推导和数值计算的。通过比较新模型和参考模型的结果,成功验证了新方程。开发的 IPM 和 CTO 可用于准确预测 TEP 问题中的应变、应力和温度,因此非常适合工业应用。
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引用次数: 0
Nonlinear behavior simulation of ceramic-matrix composites using constituent-volume homogenization method 利用成分-体积均质化方法模拟陶瓷基复合材料的非线性行为
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-16 DOI: 10.1016/j.mechmat.2024.105179
Yuhan Zhao , Shaojing Dong , Xiuli Shen
The nonlinear behavior of ceramic-matrix composites is affected by interface debonding and fiber pull-out. In this paper, we propose the constituent-volume homogenization method (CVHM) to replace the conventional bundle homogenization method, in order to model the behavior of trans-element debonding in woven structures using finite element method. Based on the CVHM, we establish the elastic relation of the relative motion between the fiber and the matrix, and the elastic constitutive relations for the constituents. Methods have also been developed to calculate the microscopic local stress of bundle under pull-out and multiaxial loads. Based on the above studies, we develop a procedure to analyze the stress-strain relation of braided composites using the CVHM. To validate the proposed method, we estimate the nonlinear behavior of the 2D plain-weave ceramic-matrix composites and compare the results with experimental data. The influence of interface shear strength (ISS) and the fiber ultimate tensile strength (UTS) on the nonlinear behavior is investigated.
陶瓷基复合材料的非线性行为受到界面脱粘和纤维拉断的影响。本文提出了成分-体积均质化方法(CVHM),以取代传统的束均质化方法,从而利用有限元方法对编织结构中的跨元素脱粘行为进行建模。基于 CVHM,我们建立了纤维与基体之间相对运动的弹性关系,以及成分的弹性构成关系。此外,还开发了计算拉出和多轴载荷下纤维束微观局部应力的方法。基于上述研究,我们开发了一种使用 CVHM 分析编织复合材料应力-应变关系的程序。为了验证所提出的方法,我们估算了二维平织陶瓷基复合材料的非线性行为,并将结果与实验数据进行了比较。研究了界面剪切强度(ISS)和纤维极限拉伸强度(UTS)对非线性行为的影响。
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引用次数: 0
Experimental and digital twinning in ZnAlMg coatings ZnAlMg 涂层中的实验孪晶和数字孪晶
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-16 DOI: 10.1016/j.mechmat.2024.105173
Ahmed Zouari , Mikel Bengoetxea-Aristondo , Filip Siska , Aymen Bouzid , Fabrice Gaslain , Aurélien Chopin , Houssem Eddine Chaieb , Kais Ammar , Pascal Bertho , Joost De Strycker , Jean-Michel Mataigne , Samuel Forest
Twinning is a major deformation mechanism in various materials, especially when few dislocation slip systems are operative. It is the case of zinc-rich coatings in galvanised steel sheets, made of pancake grains on a substrate and where the slip systems with a non-vanishing component along the c-axis present high critical resolved shear stress values. In addition, the abrupt lattice orientation change associated to twinning, the stress relaxation during its propagation and the localised nature of its early stages make it difficult to reproduce this deformation mechanism by using classical crystal plasticity models conceived for dislocation slip. In this sense, this work proposes a hierarchy of three twinning models in combination with a dislocation slip crystal plasticity model, for the case of a ZnAlMg coating. These three models are: a relaxed-Taylor model applied to individual crystal orientations of the coating, a “pseudo-slip” model for twinning and a localised twinning model. The latter incorporates a linear softening in the material law accounting for the unstable twinning initiation and enforces twinning lattice reorientation. A microstructure portion extracted from an in-situ SEM tensile experiment on galvanised steel is used to perform 3D full-field finite element simulations within a finite strain formulation. SEM observations and EBSD acquisitions are used to compare simulation and experimental results during the different steps of the in-situ SEM test, regarding the deformation and damage modes of the zinc-rich coating. The focus is set on twinning evolution inside some individual grains, and the pros and the cons of the three models are finally discussed.
在各种材料中,扭结是一种主要的变形机制,尤其是在只有少数位错滑移系统起作用的情况下。镀锌钢板中的富锌涂层就是这种情况,它是由基底上的薄饼晶粒制成的,其中沿 c 轴的滑移系统具有非渐变分量,呈现出较高的临界分辨剪应力值。此外,与孪晶相关的突然晶格取向变化、孪晶传播过程中的应力松弛以及孪晶早期阶段的局部性,都使得使用为差排滑移设计的经典晶体塑性模型难以再现这种变形机制。因此,本研究针对 ZnAlMg 涂层的情况,提出了三种孪晶模型与位错滑移晶体塑性模型相结合的层次结构。这三种模型是:应用于涂层单个晶体取向的松弛-泰勒模型、孪晶的 "伪滑移 "模型和局部孪晶模型。后者在材料定律中加入了线性软化,用于解释不稳定的孪晶启动,并强制孪晶晶格重新定向。从镀锌钢原位 SEM 拉伸实验中提取的微观结构部分被用于在有限应变公式中执行三维全场有限元模拟。在原位 SEM 测试的不同步骤中,利用 SEM 观察和 EBSD 采集结果来比较模拟和实验结果,了解富锌涂层的变形和损坏模式。重点是一些单个晶粒内部的孪晶演变,最后讨论了三种模型的优缺点。
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引用次数: 0
The influences of temperature on the macroscopic elastoplastic behaviors of heterogeneous materials 温度对异质材料宏观弹塑性行为的影响
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-16 DOI: 10.1016/j.mechmat.2024.105176
W.Q. Shen
The microstructure of heterogeneous materials affects importantly their macroscopic mechanical behavior. For a thermal-mechanical coupling problem, the temperature also has a significant effect. Firstly, the effect of temperature on the elastic behavior of heterogeneous material has been investigated in the present work with the consideration of its microstructure. Then, an explicit expression of the macroscopic yield criterion has been derived for the plastic behavior of porous material by using the homogenization approach. This yield criterion takes into account explicitly and simultaneously the influence of porosity and the effect of temperature on its overall mechanical behavior. To consider the pressure sensitivity of the matrix, the Drucker–Prager type criterion is adopted at the microscopic scale. After that, the heterogeneous material with a matrix reinforced by rigid inclusions has been studied. The microstructure information, such as the inclusion content, matrix property and the temperature have been considered explicitly in the obtained yield function. The influences of temperature and the confining pressure on the macroscopic material strength are captured by the obtained criterion. Then, the obtained result is applied to describe the temperature-dependent mechanical behaviors of sandstone.
异质材料的微观结构对其宏观机械行为有重要影响。对于热机械耦合问题,温度也有重要影响。在本研究中,首先考虑了温度对异质材料弹性行为的影响。然后,利用均质化方法推导出了多孔材料塑性行为的宏观屈服准则的明确表达式。该屈服准则同时明确考虑了多孔性和温度对其整体机械行为的影响。为了考虑基体的压力敏感性,在微观尺度上采用了 Drucker-Prager 类型准则。随后,研究了由刚性夹杂物增强基体的异质材料。在获得的屈服函数中明确考虑了微观结构信息,如夹杂物含量、基体性质和温度。所获得的准则捕捉到了温度和约束压力对材料宏观强度的影响。然后,将所得结果用于描述砂岩随温度变化的力学行为。
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引用次数: 0
Thermalized and mixed meanfield ADP potentials for magnesium hydrides 镁氢化物的热化和混合均场 ADP 电位
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-15 DOI: 10.1016/j.mechmat.2024.105175
M. Molinos , M. Ortiz , M.P. Ariza
We develop meanfield approximation and numerical quadrature schemes for the evaluation of Angular-Dependent interatomic Potentials (ADPs) for magnesium and magnesium hydrides at finite temperature (thermalization) and arbitrary atomic molar fractions (mixing) within a non-equilibrium statistical mechanical framework and derive local equilibrium relations. We numerically verify and experimentally validate the accuracy and fidelity of the resulting thermalized/mixed ADPs (TADPs) by means of selected numerical tests including free entropy, heat capacity, thermal expansion, molar volumes, equation of state and elastic constants. We show that the local equilibrium properties predicted by TADPs agree closely with those computed directly from ADP by means of Molecular Dynamics (MD).
我们开发了均场近似和数值正交方案,用于在非平衡统计力学框架内评估有限温度(热化)和任意原子摩尔分数(混合)下镁和镁氢化物的角相关原子间势(ADPs),并推导出局部平衡关系。我们通过选定的数值测试,包括自由熵、热容量、热膨胀、摩尔体积、状态方程和弹性常数,对所得到的热化/混合 ADP(TADPs)的准确性和保真度进行了数值验证和实验验证。我们的研究表明,TADPs 预测的局部平衡特性与通过分子动力学(MD)直接从 ADP 计算出的特性非常接近。
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引用次数: 0
Low-dose neutron irradiation effects on the elastoplastic deformation mechanisms of aluminum-doped gallium nitride under contact loading 低剂量中子辐照对接触加载下掺铝氮化镓弹塑性变形机制的影响
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-15 DOI: 10.1016/j.mechmat.2024.105180
Tiankun Li , Pengfei Zhao , Fulin Shang
The elastoplastic deformation mechanisms of irradiated aluminum (Al)-doped gallium nitride (GaN) under contact loading are investigated in this work using the nanoindentation simulations, which is of great significance for understanding the mechanical properties of the Al-doped GaN and guiding the design of durable and high-performance GaN-based devices. The mechanical behaviors of the Al-doped GaN with different doping concentrations are analyzed, including the indentation hardness, Young's modulus, elastic recovery rates, phase transformations, and stress distribution. It is found that Al doping increases their hardness, Young's modulus, and elastic recovery rates, and leads to an enlargement of the phase transformation regions, which is dominated by the high coordination number (CN) phase transformations. Furthermore, the effects of low-dose neutron irradiation on their elastoplastic deformation mechanisms are studied by triggering cascade collisions within the structure. When subjected to such irradiation, structural changes occur in the Al-doped GaN, their indentation hardness, Young's modulus, and elastic recovery rates increase remarkably, and its phase transformation mechanism is changed remarkably. The dislocation behaviors of the doped and undoped GaN are different under neutron irradiation. This study is important for capturing the mechanical stability and integrity of Al-doped GaN in an irradiation environment, as well as developing GaN-based devices with superior irradiation resistance.
本研究利用纳米压痕模拟研究了辐照掺铝氮化镓(GaN)在接触载荷作用下的弹塑性变形机制,这对于理解掺铝氮化镓的力学性能以及指导设计耐用的高性能氮化镓基器件具有重要意义。研究分析了不同掺杂浓度的铝掺杂氮化镓的力学行为,包括压痕硬度、杨氏模量、弹性恢复率、相变和应力分布。结果发现,铝掺杂增加了它们的硬度、杨氏模量和弹性恢复率,并导致相变区域的扩大,其中以高配位数(CN)相变为主。此外,通过在结构内部引发级联碰撞,研究了低剂量中子辐照对其弹塑性变形机制的影响。在这种辐照下,掺铝氮化镓的结构发生了变化,其压痕硬度、杨氏模量和弹性恢复率显著增加,相变机制也发生了显著变化。在中子辐照下,掺杂和未掺杂 GaN 的位错行为有所不同。这项研究对于掌握掺铝氮化镓在辐照环境下的力学稳定性和完整性,以及开发具有优异抗辐照性能的氮化镓基器件具有重要意义。
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引用次数: 0
Damage quantification in concrete under uniaxial compression using microcomputed tomography and digital volume correlation with consideration of heterogeneity 利用微计算机断层扫描和数字体积相关技术量化单轴压缩下混凝土的损伤,并考虑异质性
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-11 DOI: 10.1016/j.mechmat.2024.105178
Shangyu Yang , Haizhou Liu , Lingtao Mao , Fangao Li , Bingjie Wei , Yang Ju , François Hild
Finite element-based digital volume correlation with mechanical regularization was utilized to measure the deformation fields in a concrete specimen under uniaxial compression based on in-situ (via microcomputed tomography) experiment. Heterogeneous and damage settings were introduced in the mechanical regularization. The mechanical response of the matrix and aggregates was investigated. The three-dimensional morphology of subvoxel microcrack openings was measured, the overall assessment and local depiction of concrete damage were quantified. Subvoxel microcrack openings greater than 0.26 vx were identified. The average maximum principal and average volumetric strains in the matrix were higher than those in the aggregates, and noticeable strain concentrations existed in the interfacial transition zone and pore edges. Microcracks initiated in the macroscopic elastic stage, whereas voxel-level crack openings were observed at 90% of the ultimate load. This study provides experimental support for further revealing the growth process of concrete damage.
根据现场实验(通过微计算机断层扫描),利用基于有限元的数字体积相关和机械正则化来测量单轴压缩下混凝土试样的变形场。机械正则化中引入了异质和损伤设置。研究了基体和集料的力学响应。测量了亚体细胞微裂缝开口的三维形态,量化了混凝土损伤的整体评估和局部描述。确定了大于 0.26 vx 的亚体细胞微裂缝开口。基体中的平均最大主应变和平均体积应变高于集料中的应变,界面过渡区和孔隙边缘存在明显的应变集中。在宏观弹性阶段出现了微裂缝,而在极限载荷的 90% 时观察到了体素级裂缝开口。这项研究为进一步揭示混凝土损伤的生长过程提供了实验支持。
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引用次数: 0
Influence of shot-peening on the self-heating behavior and fatigue properties of 300M steel 喷丸强化对 300M 钢自热行为和疲劳性能的影响
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-09 DOI: 10.1016/j.mechmat.2024.105174
Pierrick Lepitre , Louis-Maël Merlet , Cédric Doudard , Matthieu Dhondt , Martin Surand , Sylvain Calloch
Shot peening is an established cold working process used to introduce residual compressive stresses on a surface and is extensively studied using conventional fatigue tests. However, it has not been widely studied using the self-heating method. Specifically, the heterogeneity of the dissipation field has not been estimated, with only an average approach being used. Previous investigations in the case of 300M steel demonstrated that the effect of shot peening on the high cycle fatigue properties can be either beneficial or detrimental. This study proposes to apply the self-heating method on polished 300M and to investigate the effect of mean stress and shot peening on the dissipation behavior. A modified self-heating model is proposed and calibrated for 300M steel. Combined with residual stress profiles, a method to compute and determine the shot peening effect on self-heating behavior through single point surface measurements is proposed. Application on 300M steel shows excellent results, the over-dissipation being mainly due to the sub-surface compressive residual stresses. The self-heating method has proven useful to quickly estimate fatigue properties of polished 300M steel. Based on the understanding of the self-heating curve of shot peened 300M steel, a quantification of shot-peening effect on fatigue limit is discussed.
喷丸强化是一种成熟的冷加工工艺,用于在表面上引入残余压应力,并通过传统的疲劳试验进行广泛研究。然而,使用自加热方法对其进行的研究并不广泛。具体来说,对耗散场的异质性尚未进行估算,仅采用了平均值法。以前对 300M 钢的研究表明,喷丸强化对高循环疲劳性能的影响可能是有利的,也可能是不利的。本研究建议在抛光 300M 钢上应用自加热方法,并研究平均应力和喷丸强化对耗散行为的影响。针对 300M 钢提出并校准了改进的自热模型。结合残余应力曲线,提出了一种通过单点表面测量来计算和确定喷丸强化对自热行为影响的方法。在 300M 钢上的应用显示出了极佳的效果,过度破坏主要是由于表层下的压缩残余应力造成的。事实证明,自加热方法有助于快速估算抛光 300M 钢的疲劳特性。基于对喷丸强化 300M 钢自热曲线的理解,讨论了喷丸强化对疲劳极限影响的量化问题。
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引用次数: 0
Investigation of the strain rate and stretch level dependent behavior of elastomeric nanocomposites in complex uniaxial tests under finite strains 有限应变下复杂单轴试验中弹性纳米复合材料的应变率和拉伸水平相关行为研究
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-09 DOI: 10.1016/j.mechmat.2024.105177
Kseniia A. Mokhireva, Alexander L. Svistkov, Vladimir V. Shadrin
The mechanical behavior of elastomeric nanocomposites in experiments with nested stress-strain cycles and in cyclic tests with increasing strain amplitude was considered. In the proposed testing procedures, long time stops at each stage of the change in loading direction were of great importance. This revealed two significant features of the behavior of elastomeric nanocomposites that have received little attention. It was shown that material softening (the Mullins effect) should be considered not only in the elastic part of the Cauchy stress tensor, but also in its dissipative part. The second peculiarity was the difference between the characteristic relaxation time at loading and the characteristic relaxation time at unloading observed in the experiments.
This paper focuses on the behavior of highly-filled elastomeric materials based on different matrices (styrene-butadiene rubber (SBR) and nitrile-butadiene rubber (NBR)) and with different concentrations of carbon black (CB) or a combination of two fillers (CB and purified multi-walled carbon nanotubes (MWCNTs)).
A mathematical model of the viscoelastic behavior of elastomeric nanocomposites under finite strains is proposed. It takes into account the peculiarities of the behavior of highly filled elastomers observed in the experiments. The specificity of the model consists in a new variant of the form of the free energy potential. It is shown that the new model satisfies the thermodynamic inequality, which is a consequence of the first law of thermodynamics and the second law in the form of the Clausius-Duhem inequality. A good agreement between theoretical calculations and experimental data was obtained.
在嵌套应力-应变循环试验和应变振幅不断增大的循环试验中,考虑了弹性纳米复合材料的机械行为。在拟议的测试程序中,加载方向变化的每个阶段都需要长时间停止,这一点非常重要。这揭示了弹性纳米复合材料行为的两个重要特征,而这两个特征很少受到关注。研究表明,材料软化(穆林斯效应)不仅应在考奇应力张量的弹性部分中考虑,还应在其耗散部分中考虑。第二个特点是在实验中观察到加载时的特征松弛时间与卸载时的特征松弛时间之间存在差异。本文重点研究了基于不同基质(丁苯橡胶(SBR)和丁腈橡胶(NBR))、不同浓度的炭黑(CB)或两种填料组合(CB 和纯化多壁碳纳米管(MWCNTs))的高填充弹性材料的行为。该模型考虑到了实验中观察到的高填充弹性体行为的特殊性。该模型的特殊性在于自由能势形式的新变体。研究表明,新模型满足热力学不等式,这是热力学第一定律和克劳修斯-杜恒不等式形式的第二定律的结果。理论计算与实验数据之间取得了良好的一致性。
{"title":"Investigation of the strain rate and stretch level dependent behavior of elastomeric nanocomposites in complex uniaxial tests under finite strains","authors":"Kseniia A. Mokhireva,&nbsp;Alexander L. Svistkov,&nbsp;Vladimir V. Shadrin","doi":"10.1016/j.mechmat.2024.105177","DOIUrl":"10.1016/j.mechmat.2024.105177","url":null,"abstract":"<div><div>The mechanical behavior of elastomeric nanocomposites in experiments with nested stress-strain cycles and in cyclic tests with increasing strain amplitude was considered. In the proposed testing procedures, long time stops at each stage of the change in loading direction were of great importance. This revealed two significant features of the behavior of elastomeric nanocomposites that have received little attention. It was shown that material softening (the Mullins effect) should be considered not only in the elastic part of the Cauchy stress tensor, but also in its dissipative part. The second peculiarity was the difference between the characteristic relaxation time at loading and the characteristic relaxation time at unloading observed in the experiments.</div><div>This paper focuses on the behavior of highly-filled elastomeric materials based on different matrices (styrene-butadiene rubber (SBR) and nitrile-butadiene rubber (NBR)) and with different concentrations of carbon black (CB) or a combination of two fillers (CB and purified multi-walled carbon nanotubes (MWCNTs)).</div><div>A mathematical model of the viscoelastic behavior of elastomeric nanocomposites under finite strains is proposed. It takes into account the peculiarities of the behavior of highly filled elastomers observed in the experiments. The specificity of the model consists in a new variant of the form of the free energy potential. It is shown that the new model satisfies the thermodynamic inequality, which is a consequence of the first law of thermodynamics and the second law in the form of the Clausius-Duhem inequality. A good agreement between theoretical calculations and experimental data was obtained.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"199 ","pages":"Article 105177"},"PeriodicalIF":3.4,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142438307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 cooperative relaxation model with two physical parameters for investigating the temperature and cure dependence of relaxation mechanisms in resins 具有两个物理参数的协同松弛模型,用于研究树脂中松弛机制的温度和固化依赖性
IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-10-05 DOI: 10.1016/j.mechmat.2024.105172
Xiaotian Mao, Fulin Shang
Modeling the relaxation properties of resin matrix during cure plays an important role in predicting process-induced residual stresses and final distortions of resin-based composites. This paper develops a physical characterization model, which explains the temperature and cure-degree dependence of relaxation behaviors in terms of the size of cooperatively rearranging region, and special emphasis is placed on investigating the general physical mechanism of cure degree affecting the relaxation properties. In this model, the relaxation time is governed by a modified Adam-Gibbs equation, which is extended here to include the cure dependence. In addition, the relaxation modulus is modeled in a chemo-rheologically simple manner (CSM) based on the free volume theory. Material characterization is carried out using experimental data of two typical resins. It is shown that two cure-dependent model parameters, i.e., the smallest size of the cooperatively rearranging region and the glass transition temperature, are sufficient in accounting for the effect of cure on the relaxation modulus, and could provide a physical explanation of the influence of cure on relaxation behaviors. Furthermore, the proposed model is numerically realized by incorporating ABAQUS with UMAT subroutine, and its validity in predicting the residual stresses and final distortion of composites is also numerically verified by comparing with the results available in literature.
树脂基复合材料在固化过程中的松弛特性建模对于预测工艺引起的残余应力和最终变形具有重要作用。本文建立了一个物理表征模型,从协同重排区域的大小来解释松弛行为与温度和固化度的关系,并特别强调研究固化度影响松弛特性的一般物理机制。在该模型中,弛豫时间由修正的 Adam-Gibbs 方程控制,在此对该方程进行了扩展,以包括固化依赖性。此外,还根据自由体积理论,以化学流变学简单方式(CSM)建立了松弛模量模型。利用两种典型树脂的实验数据进行了材料表征。结果表明,两个与固化有关的模型参数,即协同重排区的最小尺寸和玻璃化转变温度,足以解释固化对弛豫模量的影响,并能为固化对弛豫行为的影响提供物理解释。此外,通过将 ABAQUS 与 UMAT 子程序相结合,对所提出的模型进行了数值计算,并通过与文献中的结果进行比较,对其在预测复合材料残余应力和最终变形方面的有效性进行了数值验证。
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引用次数: 0
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