Journal of The Mechanics and Physics of Solids最新文献_第5页

Rapid detachment of a rigid sphere adhered to a viscoelastic substrate: An upper bound model incorporating Maugis parameter and preload effects 粘弹性基体上刚性球体的快速脱离：一个包含毛吉参数和预紧力效应的上界模型

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-01-06 DOI: 10.1016/j.jmps.2025.106028

Qingao Wang , Antonio Papangelo , Michele Ciavarella , Huajian Gao , Qunyang Li

For a typical adhesive contact problem, a rigid sphere initially adhered to a relaxed viscoelastic substrate is pulled away from the substrate at finite speeds, and the pull-off force is often found to depend on the rate of pulling. Despite significant theoretical advancements in this area, how the apparent adhesion enhancement is affected by the Maugis parameter and preload remains unclear, and existing models are sometimes contentious. In this work, we revisit this adhesive contact problem and propose a theoretical model to predict the upper bound detachment behavior when the pulling speed approaches infinity. Our analysis reveals that the apparent work of adhesion can always be enhanced, regardless of the Maugis parameter, when the initial contact radius exceeds a critical threshold. Conversely, when the initial contact radius is below this critical value, the adhesion enhancement becomes limited and depends on both the Maugis parameter and the preload condition. Further model calculations suggest that the critical initial contact radius is dependent on the Maugis parameter. In the JKR-like regime, this critical radius converges to a constant value, whereas in the DMT-like regime, it diverges rapidly following an inverse power law with respect to the Maugis parameter. As a result, observing adhesion enhancement is generally more challenging in DMT-like contacts compared to JKR-like contacts. In the meantime, our model also suggests that the adhesion enhancement arises from the expansion of the cohesive zone area due to the viscoelastic properties of the material not only within the cohesive zone but also in the intimate contact zone. Overall, our findings offer a more comprehensive understanding of viscoelastic effects in adhesive contacts, which can be used to rationally predict or optimize adhesion strength in viscoelastic interfaces.

对于典型的粘接接触问题，最初粘附在松弛粘弹性基材上的刚性球体以有限的速度从基材上被拉离，而拉离力通常与拉离速率有关。尽管在这一领域取得了重大的理论进展，但表观粘附增强如何受到毛吉斯参数和预载荷的影响仍不清楚，现有模型有时存在争议。在这项工作中，我们重新审视了这种粘接接触问题，并提出了一个理论模型来预测当拉速接近无穷大时的上界脱离行为。我们的分析表明，无论毛吉斯参数如何，当初始接触半径超过临界阈值时，粘附的表观功总是可以增强的。相反，当初始接触半径低于该临界值时，粘附增强变得有限，并且取决于毛吉斯参数和预载荷条件。进一步的模型计算表明，临界初始接触半径取决于毛吉斯参数。在类似jkr的情况下，该临界半径收敛于一个常数，而在类似dmt的情况下，它根据毛吉参数的逆幂律迅速发散。因此，与类jkr接触相比，在类dmt接触中观察粘附增强通常更具挑战性。同时，我们的模型还表明，由于材料的粘弹性特性不仅在粘聚区内，而且在亲密接触区内，粘着力的增强是由粘聚区面积的扩大引起的。总的来说，我们的研究结果提供了对粘弹性接触中的粘弹性效应的更全面的理解，可用于合理预测或优化粘弹性界面的粘弹性强度。

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引用次数: 0

A Nonlinear Thermo-Visco-Green-Elastic Constitutive Model for Mullins Damage of Shape Memory Polymers under Giant Elongations 巨伸长下形状记忆聚合物Mullins损伤的非线性热粘绿弹本构模型

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-01-06 DOI: 10.1016/j.jmps.2025.106029

Alireza Ostadrahimi , Alireza Enferadi , Mostafa Baghani , Siavash Sarrafan , Guoqiang Li

In this paper, we introduce a comprehensive 3D finite-deformation constitutive model for shape memory polymers focused on addressing the Mullins effect when subjected to substantial elongation, reaching up to 200 % strain. Considering only four Maxwell branches with nonlinear viscous components integrated with the WLF equation, our modeling framework inherently ensures thermodynamic consistency without imposing excessive constraints, linear (Boltzmann) or phenomenological modeling. This approach allows the study of time- and temperature-dependent behaviors, including stress relaxation, cyclic loadings related to the shape memory effect, shape and force recovery, and damage phenomena in SMPs under large elongations. The model integrates hyperelasticity and stress-softening effects while employing the concept of rational thermodynamics and internal state variables in the realm of the thermo-visco-green-elastic continuum approach. Additionally, we delve into the influence of strain levels on stretch-induced softening effects and their subsequent impact on free-shape recovery behavior. To streamline characterization and calibration, we conducted extensive experimental uniaxial cyclic loading tests across various strain rates and temperatures on a shape memory polymer. The model is compatible with both COMSOL and Abaqus software, enabling robust simulations of complex material responses. Through rigorous comparison against experimental data and extensive finite element multi-physics analysis simulations, we evaluate the model's performance via several multi-physics case studies and validate our proposed algorithm while minimizing both the number of parameters and computational costs.

在本文中，我们介绍了一个全面的三维有限变形本构模型的形状记忆聚合物的重点是解决马林斯效应时，受到大幅延伸，达到200%的应变。考虑到只有四个麦克斯韦分支与非线性粘性分量与WLF方程集成，我们的建模框架内在地确保热力学一致性，而不施加过多的约束，线性（玻尔兹曼）或现象学建模。这种方法可以研究时间和温度相关的行为，包括应力松弛、与形状记忆效应相关的循环载荷、形状和力恢复，以及大伸长下smp的损伤现象。该模型综合了超弹性和应力软化效应，同时采用了热粘绿弹性连续介质领域的理性热力学概念和内部状态变量。此外，我们还深入研究了应变水平对拉伸引起的软化效应的影响及其对自由形状恢复行为的后续影响。为了简化表征和校准，我们在形状记忆聚合物上进行了各种应变率和温度下的单轴循环加载试验。该模型与COMSOL和Abaqus软件兼容，能够对复杂的材料响应进行稳健的模拟。通过与实验数据和广泛的有限元多物理场分析模拟的严格比较，我们通过几个多物理场案例研究评估了模型的性能，并验证了我们提出的算法，同时最小化了参数数量和计算成本。

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引用次数: 0

Subsurface microstructure effects on surface resolved slip activity 地下微观结构对地表分解滑动活动的影响

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-01-03 DOI: 10.1016/j.jmps.2024.106023

Jonathan M. Hestroffer , Jean-Charles Stinville , Marie-Agathe Charpagne , Matthew P. Miller , Tresa M. Pollock , Irene J. Beyerlein

We investigate the influence of subsurface microstructure on the micromechanical and slip activity fields at the free surface on a polycrystalline Ni-based superalloy under deformation. The approach combines full-field crystal plasticity finite element simulations, high resolution three-dimensional electron back-scattered diffraction TriBeam technology, and high-fidelity mirroring of the microstructure to bring to the analysis statistically significant numbers of grains and a broad field of view. The analysis reveals substantial disparities in the spatially resolved fields of stress, lattice rotation, and slip activity at the surface between a columnar grain representation versus the experimental full-3D subsurface representation, with deviations intensifying and changing spatially with applied strain, after slip locally initiates. We show that the location and intensity of incipient slip, as well as choice of primary active slip system, are highly sensitive to the underlying subsurface microstructure. Detailed 3D analysis of exceptionally affected regions identifies that influential subsurface structures are grain boundaries inclined to the surface or near-surface quadruple points. A statistical analysis is conducted to correlate the micromechanical quantities and slip activity to several key microstructure features both on and beneath the surface. The analysis finds that influential subsurface microstructure features are primarily linked to proximity to triple junctions and tendency of free-surface grains to deform via multiple slip systems.

研究了变形条件下多晶镍基高温合金的地下微观组织对自由表面微力学场和滑移活动场的影响。该方法结合了全场晶体塑性有限元模拟、高分辨率三维电子背散射衍射TriBeam技术和高保真微观结构镜像，为分析带来了具有统计学意义的晶粒数量和广阔的视野。分析表明，在局部滑移开始后，柱状晶粒表示与实验的全三维亚表面表示之间，在空间分辨的应力场、晶格旋转和表面滑移活动方面存在显著差异，并且偏差随着施加的应变而加剧和空间变化。研究表明，初期滑动的位置和强度以及主要活动滑动体系的选择对下伏地下微观结构高度敏感。对异常受影响区域的详细三维分析表明，受影响的地下结构是倾向于地表或近地表四点的晶界。进行了统计分析，将微观力学量和滑动活动与地表和地下的几个关键微观结构特征联系起来。分析发现，影响地下微观结构的特征主要与接近三重结和自由表面晶粒通过多重滑移系统变形的趋势有关。

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引用次数: 0

Deciphering necking in granular materials: Micromechanical insights into sand behavior during cycles of triaxial compression and extension

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-01-02 DOI: 10.1016/j.jmps.2024.106022

Junhe Cui , Konstantinos Karapiperis , Øyvind Torgersrud , Edward Andò , Gioacchino Viggiani , Jose Andrade

This study elucidates the fundamental governing mechanisms behind necking instability in granular materials, a phenomenon extensively documented in the literature yet lacking a clear explanation of its underlying causes. Our findings suggest that the phenomenon of tensile necking instability can be understood through the framework of anisotropic critical state theory, considering both local porosity and fabric anisotropy. To unravel these mechanisms, we construct a digital twin, using the level-set discrete element method (LS-DEM), of a Hostun sand specimen undergoing alternating cycles of triaxial compression and triaxial extension within an x-ray tomograph. The accuracy of the LS-DEM simulation is substantiated by its replication of the multiscale response observed in experiments, including macroscale stress–strain behavior, evolution of the deviatoric strain field, and notably, initiation and progression of necking during triaxial extension.

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引用次数: 0

Multimaterial topology optimization of elastoplastic composite structures

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-01-01 DOI: 10.1016/j.jmps.2024.106018

Yingqi Jia , Weichen Li , Xiaojia Shelly Zhang

Plasticity is indispensable for wide-ranging structures as a protection mechanism against extreme loads. Tailoring elastoplastic behaviors such as stiffness, yield force, and energy dissipation to optimal states is therefore crucial for safety and economics. Recent studies have optimized either geometry or material phase for desired energy dissipating capacities; however, integrating both in design optimization is essential but thus far not achieved, impeding a comprehensive understanding of the interplay among structural geometry, material heterogeneity, and plasticity. Here, we propose a general topology optimization framework for discovering lightweight, multimaterial structures with optimized elastoplastic responses under small deformations. This framework features a multiobjective optimization formulation that simultaneously enhances initial stiffness, delays plastic yielding, and maximizes energy absorption/dissipation. The approach is built upon rigorous elastoplasticity theory and the celebrated return mapping algorithm, incorporating both isotropic and kinematic hardening. We analytically derive the history-dependent sensitivities using the reversed adjoint method and automatic differentiation. Employing the proposed framework, we investigate several composite structures and demonstrate the non-intuitive optimized geometries and material distributions that deliver diverse superior elastoplastic performances, including maximized plastic energy dissipation and various degrees of yield resistance. Furthermore, our findings reveal underlying mechanisms that enhance structural elastoplastic performance, such as leveraging sequential yielding to prolong post-yielding resistance and prevent catastrophic failure. These optimized designs and discovered mechanisms reveal the principles for creating the next generation of resilient engineering structures accounting for elastoplastic behaviors.

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引用次数: 0

Corrigendum to “Predicting protein thermal stability changes upon single and multi-point mutations via restricted attention subgraph neural network”[ Journal of the Mechanics and Physics of Solids, 184, 105,531.]

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-01-01 DOI: 10.1016/j.jmps.2024.105808

Mohammad Madani , Anna Tarakanova

We regret to say that in our recent publication (Madani and Tarakanova, 2024), we identified two errors in Figs. 2 and 5. Here in this corrigendum, 1) we have corrected these errors and updated the figures based on our original best-performing models. 2) Additionally, we retrained our model with new hyperparameters, resulting in slightly improved performance across almost all datasets compared to the original models.

引用次数: 0

Re-interpretation of the Weibull strength distribution of polycrystalline ceramics – characteristic strength and fracture toughness 多晶陶瓷威布尔强度分布的再解释——特征强度和断裂韧性

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2024-12-27 DOI: 10.1016/j.jmps.2024.106021

Xiaozhi Hu , Yiu-Wing Mai

A Weibull strength distribution pertinent to micro-grain structures can be measured for a polycrystalline ceramic after the influence of micro-cracks is sufficiently suppressed (or nearly all pre-existing processing defects are smaller than or much smaller than the average grain size). We outlined the conditions for measurements of this “intrinsic” micro-grain Weibull strength distribution, and showed the characteristic strength σ_ch, supported by a reasonably high Weibull modulus M, could be used to estimate the fracture toughness K_IC without testing specimens with man-made long cracks. Fine- and coarse-grained alumina ceramics, nano-grain dental ceramic (3Y-TZP), fine- and coarse-grained transparent spinel ceramics, and nano-sized specimens of single crystal silicon were analysed by the simple statistical fracture model proposed in this study. K_IC predictions from the “intrinsic” micro-grain Weibull strength distributions compared well with direct measurements from the standard test methods using specimens with man-made long cracks.

在微裂纹的影响得到充分抑制（或几乎所有预先存在的加工缺陷小于或远小于平均晶粒尺寸）后，可以测量与微晶粒结构相关的威布尔强度分布。我们概述了测量这种“固有”微晶威布尔强度分布的条件，并表明在相当高的威布尔模量M的支持下，特征强度σch可以用来估计断裂韧性KIC，而无需测试带有人造长裂纹的试样。采用本研究提出的简单统计断裂模型对细晶和粗晶氧化铝陶瓷、纳米晶牙科陶瓷（3Y-TZP）、细晶和粗晶透明尖晶石陶瓷以及纳米单晶硅试样进行了分析。KIC预测的“固有”微晶粒威布尔强度分布与使用人造长裂纹试样的标准测试方法的直接测量结果相比较。

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引用次数: 0

Coupled large deformation phase-field and cohesive zone model for crack propagation in hard-soft multi-materials

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2024-12-26 DOI: 10.1016/j.jmps.2024.106016

Aimane Najmeddine, Shashank Gupta, Reza Moini

This work presents a unified large deformation constitutive framework that couples the phase-field approach for bulk fracture with the potential-based Park–Paulino–Roesler cohesive zone model (PPR CZM) to study crack propagation in multi-material systems that contain interfaces. The phase-field component captures crack initiation and propagation within bulk constituents, whereas the PPR CZM captures failure mechanisms at the interface regions. The proposed unified framework is implemented via a user-element subroutine (UEL) within Abaqus and incorporates a large-deformation extension of the PPR CZM. The proposed coupled framework was used to examine fracture mechanisms in four scenarios: bi-layer hard-hard composite containing crack (notch) impinging on (1) a perpendicular interface and (2) an oblique interface, (3) tri-layer hard-soft multi-material composite containing crack perpendicular to interfaces, and (4) fiber-reinforced matrix composite with an interface and no notch. Results demonstrated that the unified framework successfully captured crack deflection and penetration in hard-hard bi-layers with dissimilar properties and both perpendicular and oblique interfaces, consistent with the expected response based on Linear Elastic Fracture Mechanics theroy. Furthermore, the large-deformation component of the framework was shown to provide an effective numerical tool for probing the underlying toughening mechanisms in hard-soft multi-material assemblies relative to their monolithic counterparts. Toughening in these composites was characterized by crack bridging and post-peak hardening in the force–displacement response. Finally, the framework accurately predicted complex fracture phenomena in fiber-reinforced composites, involving fiber–matrix debonding (via PPR CZM) and matrix cracking (via phase-field). The framework can inform the design of dissimilar hard-hard brittle materials and hard-soft composites, offering insights into fracture behavior and toughening mechanisms.

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引用次数: 0

Multiscale analysis method for profiled composite structures considering the forming process 考虑成型工艺的异型复合材料结构多尺度分析方法

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2024-12-25 DOI: 10.1016/j.jmps.2024.106014

Chen Liu , Jingran Ge , Shuwei Zhao , Qi Zhang , Xiaodong Liu , Jun Liang

The forming process often results in a highly heterogeneous mesoscale structure within composite structures, leading to enormous changes in mechanical properties. This complexity poses a significant challenge for accurately evaluating their mechanical behavior. In this paper, a concurrent multiscale analysis method considering the forming process is proposed to accurately analyze the mechanical behavior of profiled composite structures. The change in the internal mesoscale structure of the profiled composite structures is studied by simulating the preforming process of the composite woven fabric. A feature reduction scheme is proposed to reduce the multiscale model of profiled composite structures based on shear angle γ (selected as feature of the U-shape composite structure) and each feature region is coupled with a corresponding mesoscale model. Subsequently, a concurrent multiscale simulation method, based on self-consistent clustering analysis, is developed to model the mechanical behavior of profiled composite structures. The proposed method for simulation of profiled composite structures is validated against experimental data from literature covering various shear deformations. Finally, the progressive failure analysis of the U-shape composite structure (an example) is implemented to reveal its failure mechanism at both macroscale and mesoscale scales. The proposed multiscale analysis method can be applied to the structural design and the optimization of composite forming process.

成形过程往往导致复合材料结构内部形成高度不均匀的中尺度结构，从而导致力学性能的巨大变化。这种复杂性对准确评估其机械行为提出了重大挑战。本文提出了一种考虑成形过程的并行多尺度分析方法，以精确分析复合材料异型结构的力学行为。通过模拟复合机织物的预成形过程，研究了异形复合材料结构内部中尺度结构的变化。提出了一种基于剪切角γ（选择u型复合材料结构的特征）的特征约简方案，并将每个特征区域与相应的中尺度模型耦合。在此基础上，提出了一种基于自洽聚类分析的并行多尺度模拟方法来模拟复合材料异型结构的力学行为。本文提出的模拟复合材料异型结构的方法与文献中涵盖各种剪切变形的实验数据进行了验证。最后，以u型复合材料结构为例进行了递进破坏分析，揭示了其宏观和中尺度的破坏机制。所提出的多尺度分析方法可应用于复合材料的结构设计和成形工艺优化。

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引用次数: 0

Consistent machine learning for topology optimization with microstructure-dependent neural network material models 基于微结构相关神经网络材料模型的拓扑优化一致机器学习

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2024-12-24 DOI: 10.1016/j.jmps.2024.106015

Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such structures in the presence of nonlinearities remains a challenge due to the expense of computational homogenization methods and the complexity of differentiably parameterizing the microstructural response. A solution to this challenge lies in machine learning techniques that offer efficient, differentiable mappings between the material response and its microstructural descriptors. This work presents a framework for designing multiscale heterogeneous structures with spatially varying microstructures by merging a homogenization-based topology optimization strategy with a consistent machine learning approach grounded in hyperelasticity theory. We leverage neural architectures that adhere to critical physical principles such as polyconvexity, objectivity, material symmetry, and thermodynamic consistency to supply the framework with a reliable constitutive model that is dependent on material microstructural descriptors. Our findings highlight the potential of integrating consistent machine learning models with density-based topology optimization for enhancing design optimization of heterogeneous hyperelastic structures under finite deformations.

增材制造方法与拓扑优化相结合，可以创建具有可控空间变化材料微观结构的多尺度结构。然而，由于计算均匀化方法的费用和微结构响应微分参数化的复杂性，在非线性存在的情况下，这种结构的拓扑优化或反设计仍然是一个挑战。这一挑战的解决方案在于机器学习技术，该技术可以在材料响应与其微观结构描述符之间提供有效的、可微分的映射。这项工作提出了一个框架，通过将基于均质化的拓扑优化策略与基于超弹性理论的一致机器学习方法相结合，设计具有空间变化微观结构的多尺度异质结构。我们利用神经架构，坚持关键的物理原理，如多凸性、客观性、材料对称性和热力学一致性，为框架提供依赖于材料微观结构描述符的可靠本构模型。我们的研究结果强调了将一致机器学习模型与基于密度的拓扑优化相结合的潜力，以增强有限变形下非均质超弹性结构的设计优化。

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引用次数: 0