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Cyclic mechanical response of LPBF Hastelloy X over a wide temperature and strain range: Experiments and modelling LPBF 哈氏合金 X 在宽温度和应变范围内的循环机械响应:实验和建模
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-02 DOI: 10.1016/j.ijsolstr.2024.113047
P. Markovic , P. Scheel , R. Wróbel , C. Leinenbach , E. Mazza , E. Hosseini

Additive manufacturing (AM) of high-temperature alloys through processes such as laser powder bed fusion (LPBF) has gained significant interest and is rapidly expanding due to its exceptional design freedom, which enables the fabrication of complex parts that contribute to the increased efficiency of aerospace and energy systems. The materials produced through this process exhibit unique microstructures and mechanical properties, which necessitate dedicated study and characterization. In this context, our research focuses on the experimental characterization of the isothermal cyclic viscoplastic mechanical response of Hastelloy X (HX) over the temperature range of 22 to 1000 °C and at various strain rates, addressing a current gap in the literature. Recognizing the need for material models that can accurately represent the cyclic mechanical response of LPBF HX across a broad temperature range, we developed a robust extension of the viscoplastic isotropic-kinematic hardening Chaboche model, intended for applications in the thermomechanical simulation of the LPBF process for the analysis of residual stress and distortion, as well as for assessing the mechanical integrity of LPBF components. The extension involves expressing the entire set of model parameters explicitly with analytical functions to account for their temperature dependence. Consequently, the model includes a relatively large number of parameters to represent the isotropic-kinematic hardening viscoplastic response of the alloy over a wide temperature range, and hence to overcome the endeavor of its systematic calibration, a dedicated calibration approach was introduced. The model ultimately demonstrated its capability to precisely represent the isothermal response of the alloy over the examined temperatures and strain rates. To evaluate the model’s predictiveness for non-isothermal conditions, out-of-phase thermomechanical cyclic experiments were also conducted as independent benchmark tests, where the model’s predictions were fairly consistent with the experimental results. As a part of this study, the derived material model has been integrated into the UMAT subroutine, complete with an analytical derivation of the consistent Jacobian matrix.

通过激光粉末床熔融(LPBF)等工艺对高温合金进行增材制造(AM),由于其设计自由度极高,可制造出有助于提高航空航天和能源系统效率的复杂零件,因而受到了广泛关注,并正在迅速发展。通过这种工艺生产的材料具有独特的微观结构和机械性能,因此有必要对其进行专门的研究和表征。在此背景下,我们的研究重点是对哈氏合金 X (HX) 在 22 至 1000 °C 的温度范围内和各种应变速率下的等温循环粘塑性机械响应进行实验表征,以填补目前文献中的空白。我们认识到需要能够准确表示 LPBF HX 在广泛温度范围内的循环机械响应的材料模型,因此开发了粘塑性各向同性运动硬化 Chaboche 模型的稳健扩展,旨在应用于 LPBF 过程的热机械模拟,以分析残余应力和变形,以及评估 LPBF 组件的机械完整性。该模型的扩展包括用分析函数明确表达整套模型参数,以考虑其温度依赖性。因此,该模型包含了相对较多的参数,以表示合金在较宽温度范围内的各向同性运动硬化粘塑性响应。该模型最终证明了它有能力在所考察的温度和应变率范围内精确表示合金的等温响应。为了评估该模型对非等温条件的预测能力,还进行了相外热机械循环实验作为独立的基准测试,模型的预测结果与实验结果相当一致。作为本研究的一部分,已将推导出的材料模型集成到 UMAT 子程序中,并对一致的雅各布矩阵进行了分析推导。
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引用次数: 0
A multi-step auxetic metamaterial with instability regulation 具有不稳定性调节功能的多级辅助超材料
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-09-02 DOI: 10.1016/j.ijsolstr.2024.113040
Penghui Yu , Peijie Zhang , Qingxiang Ji , Fan Yang , Xiaojun Tan , Xueyan Chen , Huifeng Tan , Vincent Laude , Muamer Kadic

A stable deformation mode is highly desired for mechanical metamaterials, especially when coupled with a negative Poisson’s ratio. However, such metamaterials often face challenges in terms of scalability toward large deformation or strain. In response, we propose a multi-step hierarchical auxetic metamaterial design paradigm, incorporating a series of incrementally scaled-down structures with same scale factor α into a re-entrant framework. This design enables instability regulation and multi-step deformation capabilities while preserving auxetic behavior, even under significant strain. Such multi-step metamaterials exhibit excellent properties, including tailored multi-phase compression modulus and strength, along with an enhanced energy absorption capacity that is as large as 2.1 times that of the original auxetic metamaterial. Experiments and simulations demonstrate that the deformation mechanism and compression response of the proposed multi-step auxetics are strongly influenced by the reduction factor and the order of the inner structure. A particularly intriguing observation is that the incorporation of embedded microstructures can restore stable deformation, even in the presence of significant initial instability, particularly with a reduction factor of 1/5. At high relative density, its specific energy absorption stands out favorably compared to other configurations, highlighting the success of the recoverable buckling mechanism. This work paves the way for designing multi-step mechanical metamaterials for use in impact resistance and body protection.

机械超材料非常需要稳定的变形模式,尤其是在负泊松比的情况下。然而,这种超材料在大变形或大应变的可扩展性方面往往面临挑战。为此,我们提出了一种多步骤分层辅助超材料设计范例,将一系列具有相同尺度系数 α 的增量缩小结构纳入一个重入框架。这种设计能够调节不稳定性和实现多级变形能力,同时保持辅助行为,即使在巨大应变下也是如此。这种多级超材料表现出卓越的性能,包括量身定制的多相压缩模量和强度,以及增强的能量吸收能力,是原始辅助超材料的 2.1 倍。实验和模拟证明,所提出的多级辅助材料的变形机制和压缩响应受到内部结构的缩减因子和阶次的强烈影响。一个特别有趣的观察结果是,即使存在显著的初始不稳定性,嵌入式微结构也能恢复稳定的变形,尤其是在缩减因子为 1/5 的情况下。在相对密度较高的情况下,与其他结构相比,它的比能量吸收能力更强,这凸显了可恢复屈曲机制的成功。这项工作为设计用于抗冲击和人体保护的多级机械超材料铺平了道路。
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引用次数: 0
A novel cohesive interlayer model considering friction 考虑摩擦力的新型内聚层间模型
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-31 DOI: 10.1016/j.ijsolstr.2024.113049
Jiang Yu , Bin Gong , Chenrui Cao , Chun’an Tang

To understand the influence of friction on the shear-slip behavior of heterogeneous brittle composites, a novel cohesive interlayer model that can effectively capture the friction effect was proposed based on the classical Park-Paulino-Roesler model. Meanwhile, the unified potential energy function governing the interface tangential and normal behaviors was introduced to realize the mechanical interaction between Mode I fracture and Mode II fracture, and a smooth friction growth function was added in the elastic deformation stage for calculating the accurate contact pressure and friction force. Furthermore, the capability of the proposed model in addressing unloading and reloading was improved, and the fracture energy can vary accordingly during cyclic loading. To verify the effectiveness of the proposed model, it was examined by modelling the shear behavior of a masonry wallette. The results show that the relative error of the proposed model is 14.92% which is much lower than those of the other three pre-existing models when calculating the displacement corresponding to peak shear stress. Meanwhile, in terms of peak shear stress and initial displacement at residual stage, the relative errors of the proposed model are only 1.82% and 5.04%, respectively, indicating the high accuracy. Besides, the tangent stiffness determined by the second-order integration of the potential energy function is also continuous and smooth, which ensures the effective convergence of the proposed cohesive model.

为了解摩擦对异质脆性复合材料剪切滑移行为的影响,在经典的 Park-Paulino-Roesler 模型基础上,提出了一种能有效捕捉摩擦效应的新型内聚层间模型。同时,引入了支配界面切向行为和法向行为的统一势能函数,以实现模式 I 断裂和模式 II 断裂之间的力学相互作用,并在弹性变形阶段添加了平滑摩擦增长函数,以计算精确的接触压力和摩擦力。此外,所提出模型在处理卸载和重载方面的能力也得到了提高,在循环加载过程中,断裂能量也会相应变化。为了验证所提模型的有效性,我们对砌体围檩的剪切行为进行了建模检验。结果表明,在计算峰值剪应力对应的位移时,所提出模型的相对误差为 14.92%,远低于其他三个已有模型。同时,在计算峰值剪应力和残余阶段的初始位移时,所提出模型的相对误差分别仅为 1.82% 和 5.04%,表明其精度较高。此外,势能函数二阶积分确定的切线刚度也是连续平滑的,这确保了所提出内聚模型的有效收敛性。
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引用次数: 0
ANN based optimization of nano-beam oscillations with intermolecular forces and geometric nonlinearity 基于 ANN 的分子间作用力和几何非线性纳米光束振荡优化技术
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-30 DOI: 10.1016/j.ijsolstr.2024.113054
Naveed Ahmad Khan , Muhammad Sulaiman , Benzhou Lu

In this study, we investigate the effect of Van der Waals and Casimir forces on the mathematical model of nano-electromechanical systems (NEMS) such as nano-beam actuators that contain cantilever and double cantilever beams. The singular nonlinear boundary value problem governing the beam-type actuators, including geometric nonlinearity is solved by using an intelligent strength of feedforward artificial neural networks (ANNs) and hybridization of optimization algorithms such as arithmetic optimization algorithm (AOA) and active set algorithm (ASA). The proposed ANN-AOA-AS algorithm is employed to quantify the effect of changes in applied voltage, dispersion forces, geometric nonlinearity parameters, and initial axial strain on the deflection of the beam. Furthermore, to validate the results obtained by the proposed algorithm, statistical analyses are conducted to compare the approximate solutions with state-of-the-art methodologies available in the latest literature. In addition, performance indicators are defined such as mean square error (MSE), Nash–Sutcliffe efficiency (NSE), mean absolute deviations (MAD), root mean square error (RMSE), and Error in Nash–Sutcliffe efficiency (ENSE) to study the accuracy and efficiency of the solutions. The results show that these indicators’ mean percentage values lie around 104 to 106 which reflects the perfect modeling of the approximate solutions.

在本研究中,我们研究了范德华力和卡西米尔力对纳米机电系统(NEMS)数学模型的影响,例如包含悬臂梁和双悬臂梁的纳米梁式致动器。利用前馈人工神经网络(ANN)的智能优势以及算术优化算法(AOA)和主动集算法(ASA)等优化算法的混合,解决了支配梁型致动器(包括几何非线性)的奇异非线性边界值问题。所提出的 ANN-AOA-AS 算法用于量化外加电压、分散力、几何非线性参数和初始轴向应变的变化对梁挠度的影响。此外,为了验证拟议算法获得的结果,还进行了统计分析,将近似解与最新文献中的先进方法进行比较。此外,还定义了性能指标,如均方误差 (MSE)、纳什-苏克里夫效率 (NSE)、平均绝对偏差 (MAD)、均方根误差 (RMSE) 和纳什-苏克里夫效率误差 (ENSE),以研究求解的准确性和效率。结果表明,这些指标的平均百分比值在 10-4 至 10-6 之间,反映了近似解的完美建模。
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引用次数: 0
Hybrid intelligent framework for designing band gap-rich 2D metamaterials 设计带隙丰富的二维超材料的混合智能框架
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-30 DOI: 10.1016/j.ijsolstr.2024.113053
Mohamed Shendy , Mohammad A. Jaradat , Maen Alkhader , Bassam A. Abu-Nabah , T.A. Venkatesh

An artificial intelligence machine learning-based design framework is proposed to design lattice-based metamaterials with hexagonal symmetry that deliver wide band gaps at user-desired frequency ranges between 0 and 1000 kHz. The design approach starts by selecting a traditional, easy-to-manufacture parent lattice-based material that does not necessarily exhibit wide or functional band gaps. Subsequently, the parent lattice is transformed into a band-gap-rich lattice by superposing periodic triangular-shaped perturbations (i.e., zigzag-sine-based curvatures) with controllable frequencies and magnitudes on its ligaments. Finally, the frequency and magnitude parameters needed to deliver a specific band gap between 0 and 1000 kHz are determined using a hybrid intelligent framework, developed based on an Adaptive Neuro-Fuzzy Inference Systems (ANFIS). The ANFIS network integrates fuzzy logic expert models and artificial neural networks’ machine learning capabilities. Such a hybrid network is known for its ability to model strongly nonlinear and complex data. The data used in training the ANFIS models is generated using parametric finite element-based simulations where band gaps corresponding to a wide range of perturbation frequencies and magnitudes are computationally determined. The parametric study showed a nonlinear and complex topology-band gap characteristic relation; however, the Adaptive Neuro-Fuzzy Inference System (ANFIS) proved capable of modeling the observed complex topology-band gap behavior efficiently. The accuracy of the ANFIS models exceeded 99 % in several design ranges (i.e., perturbation parameters ranges). These were designated as high-accuracy design regions and were highlighted in the proposed design approach. Using multiple case studies with different band gap requirements, the ANFIS-based design framework proved effective in delivering customized lattice-based metamaterials with user-defined band gap frequencies.

本文提出了一种基于人工智能机器学习的设计框架,用于设计具有六边形对称性的基于晶格的超材料,在用户希望的 0 至 1000 kHz 频率范围内提供宽带隙。该设计方法首先选择一种传统的、易于制造的基于晶格的母体材料,这种材料不一定具有宽带隙或功能带隙。随后,通过在母晶格的韧带上叠加频率和幅度可控的周期性三角形扰动(即人字正弦曲线),将母晶格转化为带隙丰富的晶格。最后,利用基于自适应神经模糊推理系统(ANFIS)开发的混合智能框架,确定了提供 0 至 1000 kHz 特定带隙所需的频率和幅度参数。ANFIS 网络综合了模糊逻辑专家模型和人工神经网络的机器学习能力。这种混合网络以其对强烈非线性和复杂数据的建模能力而著称。用于训练 ANFIS 模型的数据是通过基于参数的有限元模拟生成的,其中对应于各种扰动频率和幅度的带隙是通过计算确定的。参数研究显示了非线性和复杂的拓扑-带隙特性关系;然而,自适应神经模糊推理系统 (ANFIS) 被证明能够有效地模拟观察到的复杂拓扑-带隙行为。在几个设计范围(即扰动参数范围)内,ANFIS 模型的精确度超过 99%。这些区域被指定为高精度设计区域,并在建议的设计方法中予以强调。通过对具有不同带隙要求的多个案例进行研究,证明基于 ANFIS 的设计框架能有效提供基于晶格的定制超材料,并具有用户定义的带隙频率。
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引用次数: 0
Flexural wave propagation in canonical quasicrystalline-generated waveguides 典型准晶体生成波导中的挠性波传播
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-30 DOI: 10.1016/j.ijsolstr.2024.113050
Zhijiang Chen , Massimiliano Gei , Lorenzo Morini

We investigate the propagation of harmonic flexural waves in periodic two-phase phononic multi-supported continuous beams whose elementary cells are designed according to the quasicrystalline standard Fibonacci substitution rule. The resulting dynamic frequency spectra are studied with the aid of a trace-map formalism which provides a geometrical interpretation of the recursive rule governing traces of the relevant transmission matrices: the traces of three consecutive elementary cells can be represented as a point on the surface defined by an invariant function of the square root of the circular frequency, and the recursivity implies the description of a discrete orbit on the surface. In analogy with the companion axial problem, we show that, for specific layouts of the elementary cell (the canonical configurations), the orbits are almost periodic. Likewise, for the same layouts, the stop-/pass-band diagrams along the frequency domain are almost periodic. Several periodic orbits exist and each corresponds to a self-similar portion of the dynamic spectra whose scaling law can be investigated by linearising the trace map in the neighbourhood of the orbit. The obtained results provide a new piece of theory to better understand the dynamic behaviour of two-phase flexural periodic waveguides whose elementary cell is obtained from quasicrystalline generation rules.

我们研究了周期性两相声波多支撑连续梁中谐波挠曲波的传播,该梁的基本单元是根据准晶体标准斐波那契置换规则设计的。我们借助迹图形式主义研究了由此产生的动态频谱,该形式主义为相关传输矩阵迹线的递归规则提供了几何解释:三个连续基本单元的迹线可表示为圆周频率平方根不变函数所定义曲面上的一个点,递归性意味着对曲面上离散轨道的描述。与配套的轴向问题类似,我们证明,对于基本单元的特定布局(典型配置),轨道几乎是周期性的。同样,对于相同的布局,沿频域的阻带/通带图也几乎是周期性的。存在多个周期性轨道,每个轨道都对应于动态频谱的自相似部分,其缩放规律可通过轨道邻域的迹图线性化来研究。所获得的结果提供了一种新的理论,有助于更好地理解两相挠性周期波导的动态行为,其基本单元由准晶体生成规则获得。
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引用次数: 0
Neural network based rYld2004 anisotropic hardening model under non-associated flow rule for BCC and FCC metals 基于神经网络的 rYld2004 各向异性硬化模型,适用于 BCC 和 FCC 金属的非关联流动规则
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-30 DOI: 10.1016/j.ijsolstr.2024.113052
Songchen Wang, Hongchun Shang, Can Zhou, Miao Han, Yanshan Lou

This paper extends the reduced Yld2004 (rYld2004) function to present the anisotropic hardening behavior for body-centered cubic and face-centered cubic metals under the proportional loading conditions based on neural network. The parameters of the rYld2004 anisotropic hardening model (AH_rYld2004) are determined by the uniaxial tensile yield stresses along 0°, 15°, 30°, 45°, 60°, 75° and 90° from the rolling direction as well as equibiaxial tension. The evolution of anisotropic parameters are described by the back propagation neural network optimized by ant colony optimization algorithm. The predicted data by AH_rYld2004 and some common anisotropic models are compared with the experimental results to verify the precision of the AH_rYld2004 in characterizing anisotropic hardening. The comparison proves that the AH_rYld2004 precisely characterize the anisotropic evolution with increasing plastic deformation for AA 3003-O and QP980. Simultaneously, the AH_rYld2004 function based on neural network is used to accurately simulate of circular cup deep drawing for AA 3003-O and uniaxial tension for QP980. The results indicate that the AH_rYld2004 model is capable to accurately represent the plastic anisotropic evolution for uniaxial tension along seven loading directions and equibiaxial tension.

本文扩展了简化 Yld2004(rYld2004)函数,在神经网络的基础上提出了体心立方和面心立方金属在比例加载条件下的各向异性硬化行为。rYld2004 各向异性硬化模型 (AH_rYld2004) 的参数由与轧制方向成 0°、15°、30°、45°、60°、75° 和 90°的单轴拉伸屈服应力以及等轴拉伸决定。各向异性参数的演变是通过蚁群优化算法优化的反向传播神经网络来描述的。将 AH_rYld2004 和一些常见各向异性模型的预测数据与实验结果进行比较,以验证 AH_rYld2004 在表征各向异性硬化方面的精确性。比较结果证明,AH_rYld2004 能精确表征 AA 3003-O 和 QP980 随塑性变形增加而发生的各向异性演变。同时,使用基于神经网络的 AH_rYld2004 函数精确模拟了 AA 3003-O 的圆杯深冲和 QP980 的单轴拉伸。结果表明,AH_rYld2004 模型能够准确表示七个加载方向的单轴拉伸和等轴拉伸的塑性各向异性演变。
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引用次数: 0
Effect of interface type on deformation mechanisms of γ-TiAl alloy under different temperatures and strain rates by molecular dynamics simulation 分子动力学模拟不同温度和应变速率下界面类型对 γ-TiAl 合金变形机制的影响
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-28 DOI: 10.1016/j.ijsolstr.2024.113051
Junqin Shi , Lulu Xu , Yang Lu , Lulu Li , Biqiang Chen , Junjie Lu

Crystalline interface plays a significant role in strengthening lamellar γ-TiAl alloys through reconciling the strength and ductility. Herein, the effects of temperature and strain rate on the tensile deformation of three lamellar γ-TiAl interface models are investigated by molecular dynamics simulations. The three interfaces, pseudo twin (PT), rotational boundary (RB), and true twin (TT), exhibit different tensile responses due to the different interface effects: TT interface only acts as a barrier of dislocation traversing to facilitate crack extension; PT interface acts as both dislocation barrier and emission source and has a stronger release of strain energy than TT interface, retarding the crack extension; RB interface can retard and resist crack extension due to the blunting and deflection of the crack tip and the best interface geometry compatibility. The defect evolution indicates that the elevated temperature suppresses dislocation propagation at low strain rate, while the high strain rate causes small lamellar stacking faults and slit-shaped holes along tensile direction at low temperature. In addition, the dual conditions of high strain rate and low temperature induce the phase transition from FCC to BCC and then BCC to HCP. These findings provide a specific insight to understand the atomistic mechanism of interface-mediated deformation.

晶体界面通过协调强度和延展性在强化片状γ-TiAl合金方面发挥着重要作用。本文通过分子动力学模拟研究了温度和应变速率对三种片状γ-TiAl界面模型拉伸变形的影响。由于界面效应不同,伪孪晶(PT)、旋转边界(RB)和真孪晶(TT)这三种界面表现出不同的拉伸响应:TT 界面仅作为位错穿越的屏障,促进裂纹扩展;PT 界面既是位错屏障又是发射源,比 TT 界面有更强的应变能释放,延缓裂纹扩展;RB 界面由于裂纹尖端的钝化和偏转以及最佳的界面几何兼容性,可以延缓和抵抗裂纹扩展。缺陷演化表明,温度升高抑制了低应变速率下的位错扩展,而高应变速率则会在低温下沿拉伸方向产生小的片状堆叠断层和狭缝形孔。此外,高应变率和低温的双重条件诱导了从 FCC 到 BCC,再从 BCC 到 HCP 的相变。这些发现为理解界面介导变形的原子机制提供了具体的见解。
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引用次数: 0
Simulating loading–unloading hysteretic behaviors of nematic-genesis polydomain nematic elastomers 模拟向列-生成多域向列弹性体的加载-卸载滞后行为
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-24 DOI: 10.1016/j.ijsolstr.2024.113039
Yuzhen Chen, Songshan Zhao, Hongyu Li, Yongzhong Huo

Nematic elastomers (NEs) are lightly cross-linked elastomers with nematic mesogens integrated in their polymer networks. Combination of large deformation capability with nematic-isotropic phase transition enables NEs to be the most promising soft materials for impact attenuation, actuation and soft robotics. In this paper, we focus on nematic-genesis polydomain NEs (N-PNEs) where mesogens are cross-linked at nematic states. N-PNEs are capable of absorbing and dissipating energy and easy to synthesize. We present a Voronoi diagram-based finite element model for specimen-scale N-PNEs, and investigate the cyclic tensile and compressive behaviors of N-PNEs at different strain rates. Our simulations reveal a smooth polydomain-monodomain transition during loading, accompanied by a full recovery of polydomain texture after the load is removed, indicating a memory effect of initial disordered mesogen alignment. The predicted behaviors align well with experimental observations, which validates our model. Furthermore, we assess the energy absorption and dissipation capabilities of N-PNEs compared to monodomain NEs, identifying conditions where N-PNEs exhibit superior performance. This study not only enhances our understanding of polydomain-monodomain transitions in N-PNEs, but also lays the groundwork for the development of N-PNE-based energy absorbers.

向列弹性体(NE)是一种轻度交联的弹性体,其聚合物网络中集成了向列介质。向列各向异性相变与大变形能力相结合,使 NE 成为最有前途的冲击衰减、驱动和软机器人软材料。在本文中,我们将重点研究介质在向列状态下交联的向列生成多域 NE(N-PNE)。N-PNEs 能够吸收和耗散能量,并且易于合成。我们提出了一种基于 Voronoi 图的试样尺度 N-PNE 有限元模型,并研究了 N-PNE 在不同应变速率下的循环拉伸和压缩行为。我们的模拟结果表明,在加载过程中,多域与单域之间会发生平滑过渡,而在卸载后,多域纹理会完全恢复,这表明初始无序介质排列会产生记忆效应。预测的行为与实验观察结果非常吻合,这验证了我们的模型。此外,我们还评估了 N-PNE 与单域 NE 相比的能量吸收和耗散能力,确定了 N-PNE 在哪些条件下表现出更优越的性能。这项研究不仅加深了我们对 N-PNE 中多域-单域转换的理解,还为开发基于 N-PNE 的能量吸收器奠定了基础。
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引用次数: 0
Multiscale modeling of diffuse damage and localized cracking in quasi-brittle materials under compression with a quadratic friction law 准脆性材料在二次摩擦律压缩条件下的弥散损伤和局部开裂的多尺度建模
IF 3.4 3区 工程技术 Q1 MECHANICS Pub Date : 2024-08-22 DOI: 10.1016/j.ijsolstr.2024.113038
Lun-Yang Zhao , Lu Ren , Ling-Hui Liu , Yuan-Ming Lai , Fu-Jun Niu , Tao You

The diffuse damage and localized cracking of quasi-brittle materials (i.e., rocks and concretes) under compression can be delineated by a matrix-microcrack system, wherein a solid matrix phase is weakened by a large number of randomly oriented and distributed microcracks, and the macroscopic cracking is formed by a progressive evolution of microcracks. Several homogenization-based multiscale models have been proposed to describe this matrix-microcrack system, but most of them are based on a linear friction law on the microcrack surface, rendering a linear strength criterion. In this paper, we propose a new quadratic friction law within the local multiscale friction-damage (LMFD) model to capture the plastic distortion due to frictional sliding along the rough microcrack surface. Following that, a macroscopic Ottosen-type nonlinear strength criterion is rationally derived with up-scaling friction-damage coupling analysis. An enhanced semi-implicit return mapping (ESRM) algorithm with a substepping scheme is then developed to integrate the complex nonlinear constitutive model. The performance of LMFD model is evaluated compared to a wide range of experimental data on plain concretes, and the robustness of ESRM algorithm is assessed through a series of numerical tests. Subsequently, to effectively describe the localized cracking process, a regularization scheme is proposed by combining the phase-field model with the established LMFD model, and the discretization independent crack localization is numerically verified.

准脆性材料(如岩石和混凝土)在压缩条件下的弥散破坏和局部开裂可以用基体-微裂缝体系来描述,其中固体基体相被大量随机定向分布的微裂缝削弱,宏观裂缝由微裂缝的逐渐演化形成。为描述这种基体-微裂缝体系,已经提出了几种基于均质化的多尺度模型,但大多数都是基于微裂缝表面的线性摩擦定律,从而得出线性强度准则。在本文中,我们在局部多尺度摩擦损伤(LMFD)模型中提出了一种新的二次摩擦定律,以捕捉沿粗糙微裂纹表面摩擦滑动引起的塑性变形。随后,通过放大摩擦-损伤耦合分析,合理推导出宏观奥特森型非线性强度准则。然后,开发了一种带有子步进方案的增强型半隐式返回映射(ESRM)算法,用于整合复杂的非线性构成模型。将 LMFD 模型的性能与素混凝土的大量实验数据进行了比较评估,并通过一系列数值测试评估了 ESRM 算法的稳健性。随后,为了有效描述局部开裂过程,通过将相场模型与已建立的 LMFD 模型相结合,提出了一种正则化方案,并对离散化独立裂缝局部化进行了数值验证。
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International Journal of Solids and Structures
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