Journal of The Mechanics and Physics of Solids最新文献

英文中文

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-01-01

引用次数: 0

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-01-01

引用次数: 0

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-01-01

引用次数: 0

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-01-01

引用次数: 0

A stationary phase-based theory of diffraction: Modeling three-dimensional elastic wave diffraction from defect edges with arbitrary shapes 基于定相的衍射理论：基于任意形状缺陷边缘的三维弹性波衍射建模

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-12-31 DOI: 10.1016/j.jmps.2025.106498

Zhengyu Wei, Fan Shi

Elastic wave diffraction is strongly affected by both the finite size and geometric complexity of edges. Previous studies have primarily focused on diffraction from finite straight edges, particularly in applications such as seismic wave exploration, ultrasonic imaging and noise control. However, modeling of elastodynamic diffraction from three-dimensional edges with arbitrary shapes remains underdeveloped, despite its importance in understanding the diffraction behavior of realistic defect geometries for accurate defect characterization. In this work, we develop an edge-segment stationary phase-based theory of diffraction (SPTD) for the accurate calculation of elastic wave diffraction from arbitrarily shaped 3D edges. Conventional edge-diffraction formulations, such as the incremental theory of diffraction (ITD), may suffer from non-physical amplitude fluctuations and even singular behavior when applied to rough or irregular edges, primarily due to the breakdown of the stationary-phase approximation at the elemental edge-segment level. To address this limitation, the proposed SPTD enforces the stationary-phase condition by projecting discretized edge segments onto virtual edges determined by the local diffraction Snell’s law. This formulation effectively suppresses non-physical amplitude fluctuations and singular contributions, thereby significantly improving the accuracy of predictions of diffraction waves. The SPTD model delivers consistently accurate results for a variety of edge geometries, such as straight, elliptical, and sinusoidal shapes, over a broad range of diffraction angles. In addition, the proposed SPTD model is used to examine the limitation of classical modeling methods. Notably, the classical geometrical theory of diffraction (GTD) is rederived within this framework, yielding a refined expression that extends its applicability to finite-length straight and curved edges, though it remains less general than the SPTD model.

弹性波衍射受边缘的有限尺寸和几何复杂性的强烈影响。以前的研究主要集中在有限直边的衍射，特别是在地震波勘探、超声成像和噪声控制等应用中。然而，从任意形状的三维边缘建立弹性动力学衍射模型仍然不发达，尽管它对于理解实际缺陷几何形状的衍射行为对于准确表征缺陷具有重要意义。在这项工作中，我们建立了一种基于边缘段固定相的衍射理论（SPTD），用于精确计算任意形状的三维边缘的弹性波衍射。传统的边缘衍射公式，如增量衍射理论（ITD），当应用于粗糙或不规则边缘时，可能会出现非物理振幅波动甚至奇异行为，这主要是由于在基本边缘段水平上的定相近似被击穿。为了解决这一限制，所提出的SPTD通过将离散的边缘段投影到由局部衍射斯涅尔定律确定的虚拟边缘上来强制执行定相条件。该公式有效地抑制了非物理振幅波动和奇异贡献，从而显著提高了衍射波预测的准确性。SPTD模型在广泛的衍射角度范围内，为各种边缘几何形状（如直线、椭圆和正弦形状）提供一致的精确结果。此外，本文还利用SPTD模型验证了传统建模方法的局限性。值得注意的是，经典的几何衍射理论（GTD）是在这个框架内重新推导的，产生了一个精炼的表达式，扩展了它对有限长直线和弯曲边缘的适用性，尽管它仍然不如SPTD模型一般。

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引用次数: 0

Electro-mechanical wrinkling of soft dielectric films bonded to hyperelastic substrates 超弹性衬底上软介质薄膜的机电起皱

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-12-30 DOI: 10.1016/j.jmps.2025.106490

Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a hyperelastic substrate, revealing the fundamental mechanisms that enable on-demand surface patterning. For the linearized stability analysis, we use the Stroh formalism and the surface impedance method to obtain exact and sixth-order approximate bifurcation equations that signal the onset of wrinkles. We derive the explicit bifurcation equations giving the critical stretch and critical voltage for wrinkling, as well as the corresponding critical wavenumber. We look at scenarios where the voltage is kept constant and the stretch changes, and vice versa. We provide the thresholds of the shear modulus ratio

r_{c}^{0}

or pre-stretch

λ_{c}^{0}

below which the film-substrate system wrinkles mechanically, prior to the application of a voltage. These predictions offer theoretical guidance for practical structural design, as the shear modulus ratio r and/or the pre-stretch λ can be chosen to be slightly greater than

r_{c}^{0}

and/or

λ_{c}^{0}

, so that the film-substrate system wrinkles with a small applied voltage. Finally, we simulate the full nonlinear behavior using the Finite Element method (FEniCS) to validate our formulas and conduct a post-buckling analysis. This work advances the fundamental understanding of electro-mechanical wrinkling instabilities in soft material systems. By enabling active control of surface morphologies via applied electric fields, our findings open new avenues for adaptive technologies in soft robotics, flexible electronics, smart surfaces, and bioinspired systems.

利用电场对软膜基复合材料的起皱进行主动控制是可调材料系统中的一个关键挑战。在这里，我们研究了与超弹性衬底结合的软介质薄膜的机电不稳定性，揭示了实现按需表面图像化的基本机制。对于线性化的稳定性分析，我们使用Stroh形式和表面阻抗法获得精确的六阶近似分岔方程，这些分岔方程表示皱纹的开始。我们导出了显式分岔方程，给出了起皱的临界拉伸和临界电压，以及相应的临界波数。我们观察电压保持不变而拉伸变化的情况，反之亦然。我们提供了剪切模量比r0或预拉伸λc0的阈值，低于该阈值，薄膜-衬底系统在施加电压之前机械起皱。这些预测为实际结构设计提供了理论指导，因为剪切模量比r和/或预拉伸λ可以选择略大于r0和/或λc0，从而使薄膜-衬底系统在小的施加电压下起皱。最后，我们使用有限元方法（FEniCS）模拟了完整的非线性行为，以验证我们的公式并进行了屈曲后分析。这项工作促进了对软材料系统中机电起皱不稳定性的基本理解。通过应用电场实现表面形态的主动控制，我们的发现为软机器人、柔性电子、智能表面和仿生系统的自适应技术开辟了新的途径。

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引用次数: 0

Physics-informed neural networks enable quantitative characterization of viscoelastic properties from shear waves in multiple organs 基于物理信息的神经网络能够定量表征多个器官中剪切波的粘弹性特性

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-12-29 DOI: 10.1016/j.jmps.2025.106500

Ziying Yin , Yuxuan Jiang , Yuxi Guo , Jiayi Pu , Shiyu Ma , Guo-Yang Li , Yanping Cao

Tissue viscoelasticity has been recognized as a crucial biomechanical indicator for disease diagnosis and therapeutic monitoring. Conventional shear wave elastography techniques depend on dispersion analysis and face fundamental limitations in clinical scenarios. Particularly, limited wave propagation data with low signal-to-noise ratios, along with challenges in discriminating between dual dispersion sources stemming from viscoelasticity and finite tissue dimensions, pose great difficulties for extracting the dispersion relation. In this study, we introduce SWVE-Net, a framework for shear wave viscoelasticity imaging based on a physics-informed neural network (PINN). SWVE-Net circumvents dispersion analysis by directly incorporating the viscoelasticity wave motion equation into the loss functions of the PINN. Finite element simulations have revealed that SWVE-Net allows for the quantification of viscosity parameters within a wide range (e.g., 0.5 – 5 Pa·s). Remarkably, it can achieve this even for samples as small as a few millimeters, where substantial wave reflections and dispersion take place. Ex vivo experiments have demonstrated the broad applicability of SWVE-Net across various organ types, with shear moduli ranging from 2.13 to 5.96 kPa and viscosities from 1.26 to 2.00 Pa·s. In in vivo human experiments, SWVE-Net quantified breast and skeletal muscle tissues with shear moduli of 4.94 and 2.99 kPa and viscosities of 0.78 and 0.82 Pa·s, respectively. These results highlight the method's robustness under real-world imaging constraints. SWVE-Net overcomes the fundamental limitations of conventional elastography and enables reliable viscoelastic characterization in situations where traditional methods fall short. Therefore, it may have potential applications, for example in grading the severity of hepatic lipid accumulation, detecting myocardial infarction boundaries, and assisting in distinguishing between malignant and benign tumors.

组织粘弹性已被认为是疾病诊断和治疗监测的重要生物力学指标。传统的横波弹性成像技术依赖于弥散分析，在临床应用中面临根本性的局限性。特别是，低信噪比的有限波传播数据，以及来自粘弹性和有限组织尺寸的双色散源的区分挑战，给色散关系的提取带来了很大的困难。在这项研究中，我们介绍了SWVE-Net，这是一个基于物理信息神经网络（PINN）的横波粘弹性成像框架。SWVE-Net通过将粘弹性波动方程直接纳入PINN的损失函数来规避色散分析。有限元模拟表明，SWVE-Net允许在很宽的范围内（例如，0.5 - 5 Pa·s）对粘度参数进行量化。值得注意的是，它甚至可以实现小到几毫米的样品，在那里发生了大量的波反射和色散。体外实验证明了SWVE-Net在各种器官类型中的广泛适用性，剪切模量范围为2.13至5.96 kPa，粘度范围为1.26至2.00 Pa·s。在人体体内实验中，SWVE-Net量化的乳房和骨骼肌组织剪切模量分别为4.94和2.99 kPa，黏度分别为0.78和0.82 Pa·s，变异系数保持在15%以下。这一结果突出了该方法在现实世界成像约束下的鲁棒性。SWVE-Net克服了传统弹性成像的基本限制，能够在传统方法无法实现的情况下进行可靠的粘弹性表征。因此，它可能有潜在的应用，例如分级肝脏脂质积累的严重程度，检测心肌梗死的边界，并协助区分恶性和良性肿瘤。

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引用次数: 0

Inference of phase field fracture models 相场断裂模型的推断

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-12-29 DOI: 10.1016/j.jmps.2025.106495

Elizabeth Livingston , Siddhartha Srivastava , Jamie Holber , Hashem M. Mourad , Krishna Garikipati

The phase field approach to modeling fracture uses a diffuse damage field to represent cracks. This representation mollifies singularities that arise in computations with sharp interface models and some of the resultant difficulties in the mathematical and numerical treatment of fracture. Phase field fracture models have proven effective at representing crack propagation, branching, and merging. Specific formulations, beginning with brittle fracture, have also been shown to converge to classical solutions. Extensions to cover the range of material failure, including ductile and cohesive fracture, lead to an array of possible models. There exists a large body of literature focusing on this class of models and on the impact of model form on the predicted crack evolution. However, there have not been systematic studies into how optimal models may be chosen. Here, we take a first step in this direction by developing formal methods for identification of the best parsimonious model of phase field fracture given full-field data on the damage and deformation fields. We consider some of the main models that have been used for the degradation of elastic response due to damage and its propagation. Our approach builds upon Variational System Identification (VSI), a weak form variant of the Sparse Identification of Nonlinear Dynamics (SINDy). In this first communication we focus on synthetically generated data but we also consider central issues associated with the use of experimental full-field data, such as data sparsity and noise.

相场法采用弥漫性损伤场来表示裂缝。这种表示消除了在使用锐界面模型计算时出现的奇异性，以及由此导致的断裂数学和数值处理中的一些困难。相场断裂模型已被证明可以有效地表示裂纹扩展、分支和合并。从脆性断裂开始的特定公式也被证明收敛于经典解。扩展到涵盖材料失效的范围，包括韧性和内聚性断裂，导致一系列可能的模型。已有大量文献关注这类模型以及模型形式对预测裂纹演化的影响。然而，对于如何选择最优模型，还没有系统的研究。在这里，我们向这个方向迈出了第一步，在给定损伤和变形场的全场数据的情况下，开发了识别相场断裂最佳简约模型的形式化方法。我们考虑了一些主要的模型，已用于退化的弹性响应由于损伤和它的传播。我们的方法建立在变分系统辨识（VSI）的基础上，这是非线性动力学稀疏辨识（SINDy）的弱形式变体。在这第一次通信中，我们专注于合成生成的数据，但我们也考虑与使用实验全场数据相关的中心问题，如数据稀疏性和噪声。

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引用次数: 0

Micromechanical insights into the uniaxial stress-strain behaviour of glassy amorphous polymers through molecular dynamics simulations 通过分子动力学模拟对非晶态聚合物单轴应力-应变行为的微观力学见解

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-12-28 DOI: 10.1016/j.jmps.2025.106496

Pramod Kumar Patel, Sumit Basu

The intrinsic uniaxial stress-strain response of a glassy amorphous polymer exhibits a set of generic features that determine its toughness under monotonic or cyclic loads. Phenomenological constitutive models successfully mimic these generic features and often insightfully allude to their micromechanical origins. On the other hand, atomistic simulations, notwithstanding their well-known limitations, are also successful in capturing these features using a variety of force fields. This motivates us to delve deeper into these simulations and attempt to identify the micromechanical events that synergistically give rise to these very distinctive features. Especially, we study the roles of the evolution of the free volume and the entanglement network formed by the macromolecules. We show that the small-strain response is largely governed by how free volume proliferates in the material. At larger strains, entanglement slips and disentanglement events decide the extent of plastic strain that will accumulate and the reversibility of the material on unloading. The cohesive strength of the non-bonded interactions between monomers and the energy barrier between torsional flips are the most important underlying features of the force field that affect both evolution of free volume and behaviour of the entanglement network. By perturbing these parameters, we can, control the extent of strain softening, hardening, accumulation of plastic strains and reversibility on unloading. The parameters of the force field, which are determined by the macromolecular architecture, can be used to ‘sculpt’ a targeted stress-strain response.

非晶玻璃聚合物固有的单轴应力-应变响应表现出一组通用特征，这些特征决定了其在单调或循环载荷下的韧性。现象学本构模型成功地模仿了这些一般特征，并经常深刻地暗示了它们的微观力学起源。另一方面，原子模拟尽管有众所周知的局限性，但也成功地利用各种力场捕获了这些特征。这促使我们更深入地研究这些模拟，并试图识别协同产生这些非常独特特征的微力学事件。特别地，我们研究了自由体积的演化和大分子形成的纠缠网络的作用。我们表明，小应变响应在很大程度上取决于材料中自由体积的增殖方式。在较大应变下，缠结滑移和解缠事件决定了塑性应变的累积程度和材料卸载时的可逆性。单体间非键相互作用的内聚强度和扭转翻转之间的能量势垒是影响自由体积演化和纠缠网络行为的力场最重要的潜在特征。通过扰动这些参数，可以控制应变软化、硬化程度、塑性应变积累程度和卸荷可逆性。由大分子结构决定的力场参数可用于“雕刻”目标应力-应变响应。

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引用次数: 0

A unified variational damage model and an efficient length scale insensitive phase-field model 统一的变分损伤模型和有效的长度尺度不敏感相场模型

IF 6 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids

Pub Date : 2025-12-27 DOI: 10.1016/j.jmps.2025.106494

Ya Duan , Huilong Ren , Yehui Bie , Xiaoying Zhuang , Timon Rabczuk

As an emerging method for simulating fracture in solids, the variational damage model is currently still mainly limited to the study of brittle fracture. To simulate the quasi-brittle failure of solids, this work proposes an efficient and unified variational damage model (vdczm) within a variational framework, together with its corresponding phase-field model (Tpfczm) that is insensitive to the length scale parameter. Specifically, a crack geometric function associated with the unified phase-field model and a purely geometric rational degradation function are introduced. The introduced constitutive functions are capable of recovering both the classical variational damage model and the phase-field models (including pfczm), thus ensuring the unification of the theoretical framework. This work also demonstrates the specific implementation of incorporating the cohesive zone model into the variational damage framework. The procedure includes deriving an analytical solution for quasi-brittle fracture in the one-dimensional case, based on which an equivalent cohesive zone model is constructed. This equivalent model can accurately reproduce exponential, hyperbolic, and Cornelissen softening laws, and typical constitutive parameters can be obtained by fitting these classical softening laws. Furthermore, this work proposes an efficient hybrid formulation of the unified variational damage model (vdczm), which provides greater advantages in energy decomposition. The effectiveness of the two proposed theories is verified through a series of numerical examples. The results show that both vdczm and Tpfczm are insensitive to mesh size, and Tpfczm is also insensitive to the length scale parameter when it is well resolved by the mesh. The comparison of computational efficiency indicates that vdczm is significantly more efficient than both Tpfczm and pfczm, while Tpfczm is also noticeably more efficient than pfczm.

变分损伤模型作为一种新兴的模拟固体断裂的方法，目前仍主要局限于脆性断裂的研究。为了模拟固体的准脆性破坏，本文在变分框架内提出了一种高效、统一的变分损伤模型（vdczm），以及相应的对长度尺度参数不敏感的相场模型（Tpfczm）。具体来说，引入了与统一相场模型相关联的裂纹几何函数和纯几何有理退化函数。引入的本构函数能够恢复经典的变分损伤模型和相场模型（包括pfczm），从而保证了理论框架的统一性。本工作还演示了将内聚区模型纳入变分损伤框架的具体实现。推导了一维情况下准脆性断裂的解析解，并在此基础上建立了等效黏聚带模型。该等效模型能够准确再现指数、双曲和Cornelissen软化规律，并通过拟合得到典型的本构参数。此外，本文还提出了统一变分损伤模型（vdczm）的高效混合公式，该公式在能量分解方面具有更大的优势。通过一系列数值算例验证了两种理论的有效性。结果表明，vdczm和Tpfczm对网格尺寸不敏感，Tpfczm对网格分辨率较好的长度尺度参数也不敏感。计算效率的比较表明，vdczm的效率明显高于Tpfczm和pfczm，而Tpfczm的效率也明显高于pfczm。

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