Journal of The Mechanics and Physics of Solids最新文献_第4页

Homogenization framework for rigid and non-rigid foldable origami metamaterials 刚性和非刚性可折叠折纸超材料的均匀化框架

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-16 DOI: 10.1016/j.jmps.2026.106519

Xuwen Li, Amin Jamalimehr, Mathias Legrand, Damiano Pasini

Origami metamaterials typically consist of folded sheets with periodic patterns, conferring them with remarkable mechanical properties. In the context of Continuum Mechanics, the majority of existing predictive methods are mechanism analogs which favor rigid folding and panel bending. While effective in predicting primary deformation modes, existing methods fall short in capturing the full spectrum of deformation of non-rigid foldable origami, such as the emergence of curvature along straight creases, local strain at vertices and warpage in panels. To fully capture the entire deformation spectrum and enhance the accuracy of existing methods, this paper introduces a homogenization framework for origami metamaterials where the faces are modeled as plate elements. Both asymptotic and energy-based homogenization methods are formulated and implemented. As a representative crease pattern, we examine the Miura origami sheet homogenized as an equivalent Kirchhoff-Love plate. The results reveal that certain effective elastic properties are nonlinearly related to both the initial fold angle and the crease stiffness. When benchmarked with results from fully resolved simulations, our framework yields errors up to 12.9%, while existing models, including the bar-and-hinge model and the rigid-panel model, show up to 161% error. The differences in errors are associated with the complex modes of crease and panel deformation in non-rigid origami, unexplored by the existing models. This work demonstrates a precise and efficient continuum framework for origami metamaterials as an effective strategy for predicting their elastic properties, understanding their mechanics, and designing their functionalities.

折纸超材料通常由具有周期性图案的折叠片组成，赋予它们非凡的机械性能。在连续介质力学的背景下，大多数现有的预测方法是机制类比，有利于刚性折叠和板弯曲。虽然现有的方法可以有效地预测原始变形模式，但在捕捉非刚性可折叠折纸的全变形谱方面存在不足，例如沿直折痕出现的曲率、顶点处的局部应变和面板中的翘曲。为了充分捕获整个变形谱，提高现有方法的精度，本文引入了一种折纸超材料的均匀化框架，其中面建模为板单元。提出并实现了渐近均匀化方法和基于能量的均匀化方法。作为一个代表性的折痕图案，我们研究了三浦折纸片均质为等效的基希霍夫-洛夫板。结果表明，某些有效弹性性能与初始折叠角和折痕刚度均呈非线性关系。当与完全解析的模拟结果进行基准测试时，我们的框架产生的误差高达12.9%，而现有模型，包括杆铰模型和刚性面板模型，显示的误差高达161%。误差的差异与非刚性折纸中折痕和面板变形的复杂模式有关，这是现有模型未探索的。这项工作为折纸超材料提供了一个精确而高效的连续体框架，作为预测其弹性特性、理解其力学和设计其功能的有效策略。

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引用次数: 0

The effect of fiber plasticity on domain formation in soft biological composites—Part I: A bifurcation analysis 纤维塑性对软生物复合材料结构域形成的影响——第一部分：分岔分析

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2025-12-25 DOI: 10.1016/j.jmps.2025.106482

Michalis Agoras , Fernanda F. Fontenele , Nikolaos Bouklas

The main objective of this work is to shed light on the effect of fiber plasticity on the macroscopic response and domain formation in soft biological composites. This goal is pursued by analyzing the plane-strain response of two-phase laminates. In the context of this problem, the effect of fiber plasticity is accounted for by allowing the elastically stiffer layers (“fiber” phase) to also yield plastically and by taking the soft layers (“matrix” phase) to be purely elastic solids. The analysis is carried out at finite elastic and plastic strains, but it is restricted to unidirectional, non-monotonic loading paths, applied by initially increasing the macroscopic stretch along the direction of the layers up to a prescribed maximum value and then decreasing the same stretch down to a minimum value. A simple expression is derived for the critical conditions at which the homogenized behavior of the laminate loses strong ellipticity for the first time along the loading path. The relevance of this result stems from the fact that the loss of macroscopic ellipticity of these composites is known to coincide with the onset of bifurcations of the long-wavelength type. It follows from this result that, just like hyperelastic laminates, elastoplastic laminates may lose macroscopic ellipticity whenever their incremental strength in shear perpendicular to the layers vanishes for the first time. It is shown by means of specific numerical calculations that fiber plasticity has a softening effect on the critical shear strength of the laminate under monotonically increasing loading and a hardening effect under monotonically decreasing loading, whereas local elasticity has the opposite effects. Thus, the effects of local elasticity and fiber plasticity compete with each other at every stage of the deformation where both mechanisms are active and whether or not a specific laminate will lose its macroscopic ellipticity along a given loading path depends crucially on the relative strengths of these effects. In this regard, the influence of the relevant loading and material parameters is investigated in detail. For situations in which loss of macroscopic ellipticity does take place, a corresponding post-bifurcation solution for the homogenized behavior of the laminate is computed. The deformed state of the material described by this solution is characterized by twin lamellar domains that are formed at a length scale much larger than the width of the original, microscopic layers, but still much smaller than the overall dimensions of the macroscopic specimen under consideration. The macroscopic response of these composites is found to be much softer along the bifurcated equilibrium path than along the corresponding principal path. Nevertheless, no macroscopic unloading has been observed in the post-bifurcation regime, indicating accordingly that the macroscopic, post-bifurcation behavior of these materials is stable.

本研究的主要目的是揭示纤维塑性对软质生物复合材料宏观响应和结构域形成的影响。通过分析两相层合板的平面应变响应来实现这一目标。在这个问题的背景下，纤维塑性的影响是通过允许弹性较硬的层（“纤维”相）也具有塑性屈服，并通过将软层（“基体”相）作为纯弹性固体来解释的。该分析是在有限的弹塑性应变下进行的，但它仅限于单向、非单调的加载路径，通过首先沿层向增加宏观拉伸到规定的最大值，然后减少相同的拉伸到最小值来施加。导出了层合板沿加载路径均匀性首次失去强椭圆性临界条件的简单表达式。这一结果的相关性源于这样一个事实，即已知这些复合材料的宏观椭圆性的损失与长波长型分岔的开始相吻合。由此可知，弹塑性层合板与超弹性层合板一样，在垂直于层合板的剪切强度增量首次消失时，也会失去宏观椭圆性。通过具体的数值计算表明，在单调递增加载条件下，纤维塑性对层合板的临界抗剪强度有软化作用，在单调递减加载条件下，纤维塑性对层合板的临界抗剪强度有硬化作用，而局部弹性则相反。因此，局部弹性和纤维塑性的影响在变形的每个阶段都是相互竞争的，在这两个机制都是活跃的，一个特定的层合板是否会沿着给定的加载路径失去宏观椭圆性，关键取决于这些影响的相对强度。为此，详细研究了相关载荷和材料参数的影响。对于确实发生宏观椭圆度损失的情况，计算了相应的层合板均匀化行为的分岔后解。该溶液描述的材料变形状态的特征是双片层畴，其形成的长度尺度远大于原始微观层的宽度，但仍远小于所考虑的宏观试样的总体尺寸。这些复合材料的宏观响应沿分岔平衡路径比沿相应的主路径要软得多。然而，在分岔后没有观察到宏观卸载，这表明这些材料的宏观分岔后行为是稳定的。

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引用次数: 0

Shear banding in high-entropy alloy 高熵合金中的剪切带

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-12 DOI: 10.1016/j.jmps.2026.106517

De-Ru Wang , Tong Li , Ming-Yao Su , Yan Chen , Hai-Ying Wang , Lan-Hong Dai

Shear banding is widely regarded as a precursor to dynamic failure of solids, yet what drives its emergence remains elusive. Here, we precisely capture the onset of shear bands in the most typical Cantor CoCrFeMnNi high-entropy alloy via the unique single-pulse Hopkinson torsion bar-based deformation-freezing hybridizing synchronized temperature measurement technique. It is surprisingly found that shear bands emerge well before the stress-strain curve peak and exhibit a distinctive nanoscale morphology, in sharp contrast to traditional consensus. Precise microstructural characterization reveals that these bands originate from discrete stacking faults, where atomic-scale dilatation at their tips reduces shear deformation resistance and triggers configurational softening. To disentangle and quantify the competing effect between thermal softening and configurational softening, we develop a non-equilibrium two-temperature continuum plastic flow model. Stability analysis establishes the nanoscale shear band instability criterion and demonstrates that configurational softening, rather than widely accepted adiabatic thermal softening, governs their emergence. These findings shed new insights into understanding shear banding and dynamic failure behaviors in metals.

剪切带被广泛认为是固体动态破坏的前兆，但导致其出现的原因仍然难以捉摸。在这里，我们通过独特的单脉冲霍普金森扭转杆变形-冻结杂交同步温度测量技术，精确捕捉了最典型的Cantor CoCrFeMnNi高熵合金中剪切带的开始。令人惊讶的是，剪切带出现在应力-应变曲线峰值之前，并表现出独特的纳米级形态，与传统的共识形成鲜明对比。精确的微观结构表征表明，这些条带起源于离散的堆积断层，其尖端的原子尺度膨胀降低了剪切变形阻力并触发了构型软化。为了解开和量化热软化和构型软化之间的竞争效应，我们建立了一个非平衡双温度连续体塑性流动模型。稳定性分析建立了纳米尺度剪切带失稳判据，并证明了它们的出现是由构型软化而不是广泛接受的绝热软化控制的。这些发现为理解金属的剪切带和动态破坏行为提供了新的见解。

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引用次数: 0

A unified multi-perspective quadratic manifold for mitigating the Kolmogorov barrier in multiphysics damage 用于减轻多物理场损伤中Kolmogorov势垒的统一多视角二次流形

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-01 DOI: 10.1016/j.jmps.2025.106499

Qinghua Zhang , Stephan Ritzert , Jian Zhang , Jannick Kehls , Stefanie Reese , Tim Brepols

In multiphysics damage problems, material degradation is often modeled using local and/or global damage variables, whose evolution introduces strong nonlinearities and significant computational costs. Linear projection-based reduced-order models (ROMs) are widely used to accelerate these simulations but often fail to capture complex nonlinear damage evolution effectively. This limitation arises from the slow decay of the Kolmogorov n-width, which leads to a phenomenon known as the Kolmogorov barrier in linear approximation. To overcome this challenge, this study proposes a novel unified multi-perspective (multi-field and multi-state) quadratic manifold-based ROM framework for thermo-mechanically coupled damage-plasticity problems. A key feature lies in a multi-field and multi-state decomposition strategy that is grounded in the material’s physical response to guide the selection of mode numbers for each coupled field. Moreover, the framework decouples both material states and physical fields, providing clearer insights into the contributions and interactions of each field within the overall multiphysics simulation. Benchmark tests demonstrate that the proposed approach mitigates the Kolmogorov barrier of linear projection-based ROMs by ensuring a smooth and monotonic decrease in error as the number of modes increases. The proposed multi-perspective quadratic manifold framework offers a robust and flexible approach for efficiently reducing complex damage-involved multiphysics problems and shows the potential for industrial applications.

在多物理场损伤问题中，材料退化通常使用局部和/或全局损伤变量来建模，这些变量的演化引入了强非线性和显著的计算成本。基于线性投影的降阶模型（ROMs）被广泛用于加速这些模拟，但往往不能有效地捕捉复杂的非线性损伤演化。这种限制源于柯尔莫哥洛夫n-宽度的缓慢衰减，这导致线性近似中的柯尔莫哥洛夫势垒现象。为了克服这一挑战，本研究提出了一种新的统一的多视角（多场和多态）二次流形ROM框架，用于热-机械耦合损伤-塑性问题。其关键特征在于基于材料物理响应的多场多态分解策略，以指导每个耦合场的模态数选择。此外，该框架解耦了物质状态和物理场，为整个多物理场模拟中每个场的贡献和相互作用提供了更清晰的见解。基准测试表明，该方法通过确保误差随模态数量的增加而平滑单调地减小，从而减轻了基于线性投影的rom的Kolmogorov障碍。所提出的多视角二次流形框架为有效减少涉及复杂损伤的多物理场问题提供了一种鲁棒和灵活的方法，并显示出工业应用的潜力。

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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 : 2026-03-01 Epub 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

High strain rate behavior of liquid crystal elastomers 液晶弹性体的高应变率行为

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-05 DOI: 10.1016/j.jmps.2026.106501

Adeline Wihardja , Juan Carlos Nieto-Fuentes , Daniel Rittel , Kaushik Bhattacharya

Liquid crystal elastomers are rubbery solids that couple liquid crystalline order and deformation. This coupling leads to properties that are attractive for a number of applications in soft robotics and energy absorption. This paper is motivated by the latter application, and provides a systematic experimental study of a particular class of liquid crystal elastomers – the isotropic genesis polydomain liquid crystal elastomers – over a wide range of strain rates in tension and compression. An important aspect of this study is a novel tensile drop-tower that enables tensile strain rates of 100 s

^{- 1}

that are important to application but previously inaccessible. The paper also extends a recently proposed constitutive model to the high strain rate regime, and shows that it can be fit to describe the observed behavior across the full spectrum of loading conditions and strain rates examined.

液晶弹性体是一种结合液晶有序和变形的橡胶状固体。这种耦合导致了对软机器人和能量吸收的许多应用具有吸引力的特性。本文的动机是后一种应用，并提供了一个系统的实验研究的特定类别的液晶弹性体-各向同性成因多域液晶弹性体-在大范围内的应变速率的拉伸和压缩。这项研究的一个重要方面是一种新型的拉伸跌落塔，它可以使拉伸应变率达到100 s−1，这对应用很重要，但以前无法实现。本文还将最近提出的本构模型扩展到高应变率体系，并表明它可以适合于描述在加载条件和应变率检查的全谱中观察到的行为。

引用次数: 0

Mechanics of sequential damage in twisted fiber bundles across scales 扭曲纤维束跨尺度序贯损伤力学

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-12 DOI: 10.1016/j.jmps.2026.106516

Siqi Yan , Xizhe Zhang , Zhaoxin Zhang , Zheng Jia , Shuze Zhu

Helical architectures are common in natural and engineered systems. It is well-known that the helical geometries, either formed naturally or engineered by twisting, can strongly influence mechanical properties. Nevertheless, existing theories have primarily examined the behavior of twisted fiber bundles until initial fiber rupture, and the understanding of the complete fracture process of all fibers is rather elusive. In this study, we show the counterintuitively such complete fracture process has non-trivial consequence. A generalized model that tracks the complete fracture process of twisted bundles, from initial rupture to ultimate failure, is proposed to capture the mechanical response of twisted bundles across length scales. The framework explicitly incorporates twist-mediated sequential fiber fracture and nonlocal bundle reconfiguration triggered by fiber breakage, which are two key mechanisms underlying the fracture response of twisted fiber bundles but absent from existing models. The theory produces quantitative predictions for the force-displacement response of twisted fiber bundles that closely match both macro-scale experiments and micro-scale simulations. Importantly, such model reveals a universal nonlocal energy dissipation mechanism that is intrinsic to the twisted geometry across scales. Furthermore, the model predicts the existence of a scale-dependent critical twist angle, beyond which a larger twist angle is correlated with higher dissipated energy. These results offer important theoretical insights for understanding the full mechanical prowess of twisted fiber materials with enhanced failure resistance.

螺旋结构在自然和工程系统中很常见。众所周知，螺旋几何形状，无论是自然形成的还是通过扭曲工程形成的，都能强烈地影响机械性能。然而，现有的理论主要是研究扭曲纤维束在纤维初始断裂之前的行为，对所有纤维的完整断裂过程的理解相当难以捉摸。在本研究中，我们反直觉地证明了这种完全断裂过程具有重要的意义。提出了一种广义的扭束断裂模型，该模型跟踪了扭束从初始断裂到最终破坏的整个断裂过程，以捕捉扭束跨长度尺度的力学响应。该框架明确纳入了扭曲介导的顺序纤维断裂和由纤维断裂引发的非局部纤维束重构，这是扭曲纤维束断裂响应的两个关键机制，但在现有模型中是不存在的。该理论对扭曲纤维束的力-位移响应进行了定量预测，与宏观尺度实验和微观尺度模拟结果非常吻合。重要的是，该模型揭示了跨尺度扭曲几何固有的普遍非局部能量耗散机制。此外，该模型预测存在一个与尺度相关的临界扭角，超过该临界扭角越大，耗散能量越高。这些结果为理解具有增强抗破坏能力的扭曲纤维材料的全面机械性能提供了重要的理论见解。

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引用次数: 0

Elastodynamics of two-dimensional odd mechanical media: Theory, homogenization and wave characterization 二维奇介质弹性动力学：理论、均匀化和波动表征

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-11 DOI: 10.1016/j.jmps.2026.106502

Wen Cheng , Honghua Qian , Shaoyun Wang , Fan Yang , Quan Wang , Rui Zhu , Gengkai Hu , Guoliang Huang

Non-Hermitian systems have attracted growing attention in mechanics due to their unique ability to manipulate energy in unconventional ways. In this study, we establish a comprehensive theoretical framework to explore exotic wave phenomena in odd elasticity. Specifically, we reveal polarization-dependent energy transfer in the unbroken-phase, second-order amplification at exceptional points (EPs), and exponential energy gain or loss in the broken-phase. To substantiate these findings, we perform an energy-based analysis within a homogeneous medium, offering clear physical interpretations that corroborate our theoretical predictions. Furthermore, we develop a homogenization theory to examine the elastodynamic behavior of various two-dimensional(2D) odd lattices constructed from tensile-torsional asymmetric springs. This theory is validated through comparisons of dispersion relations and coupled mode shapes with those obtained from microstructural simulations. The energy-transfer characteristics and directional wave amplification observed in the lattices closely align with the predictions of the homogenized model. Finally, we demonstrate unidirectional surface wave propagation and mode conversion as striking manifestations of non-Hermitian behavior in mechanical systems. This work provides a broadly applicable framework for investigating non-Hermitian effects in elastic wave systems and introduces novel strategies for the precise manipulation and control of mechanical energy.

非厄米系统由于其独特的以非常规方式操纵能量的能力，在力学中引起了越来越多的关注。在本研究中，我们建立了一个全面的理论框架来探讨奇弹性中的奇异波现象。具体来说，我们揭示了在非断裂相中极化相关的能量转移，异常点（EPs）的二阶放大，以及在断裂相中的指数能量增益或损失。为了证实这些发现，我们在均匀介质中进行了基于能量的分析，提供了明确的物理解释，证实了我们的理论预测。此外，我们发展了一种均匀化理论来检验由拉扭非对称弹簧构成的各种二维（2D）奇格的弹性动力学行为。通过将色散关系和耦合模态振型与微观结构模拟结果进行比较，验证了这一理论。在晶格中观测到的能量传递特性和定向波放大与均匀化模型的预测非常吻合。最后，我们证明了单向表面波传播和模式转换是机械系统中非厄米行为的显著表现。这项工作为研究弹性波系统中的非厄米效应提供了一个广泛适用的框架，并为精确操纵和控制机械能引入了新的策略。

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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 : 2026-03-01 Epub 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

Corrigendum to “Combining stretching-dominated and bending-dominated dissipation behavior to optimize energy absorption in liquid crystal elastomer-based lattice structures” [Journal of the Mechanics and Physics of Solids 209 (2026), 106497] “结合拉伸主导和弯曲主导耗散行为来优化液晶弹性体基晶格结构的能量吸收”的更正[j] .固体力学与物理学报，209 (2026),106497]

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

Journal of The Mechanics and Physics of Solids

Pub Date : 2026-03-01 Epub Date: 2026-01-23 DOI: 10.1016/j.jmps.2026.106521

Beijun Shen , Yuefeng Jiang , Christopher M. Yakacki , Sung Hoon Kang , Thao D. Nguyen

引用次数: 0