【新文速递】2025年4月14日固体力学SCI期刊最新文章
今日更新：International Journal of Solids and Structures 4 篇，Journal of the Mechanics and Physics of Solids 1 篇，Mechanics of Materials 1 篇
International Journal of Solids and Structures
Numerical study on crack tip fields in liquid crystal elastomers
Qiang Guo, Rong Long, Shengqiang Cai
doi:10.1016/j.ijsolstr.2025.113389
液晶弹性体裂纹尖端场的数值研究
This study presents a numerical investigation into the crack tip fields in liquid crystal elastomers (LCEs) using finite element simulations. LCEs exhibit unique mechanical behaviors, such as soft elasticity and directionally adjustable anisotropy, due to the coupling between the deformation of polymer networks and the rotation of liquid crystal mesogens. The numerical simulations focus on a rectangular LCE plate with a small central crack, subjected to uniform stretching. Simulation results reveal the presence of a uniaxial stress state near the crack tip and a universal stress singularity obeying a power law with an exponent of −1. Along the circumferential direction around the crack tip, the stress distribution exhibits a prominent polarization, with the polarization direction precisely aligned with the initial mesogen orientation. For the mesogen reorientation at the crack tip, two types of mesogen rotation—rigid body rotation with the polymer network and relative rotation due to network stretching—are distinguished. The rigid body rotation is found to cause significant heterogeneity in mesogen orientation at the crack tip, but the relative rotation tends to make the mesogen orientation more uniform, generally aligning with the direction of applied stretch. The final mesogen orientation, determined by the initial orientation and rotation, is closely related to the magnitude of the stress field at the crack tip. These findings provide valuable insights into the fracture behavior of LCEs and can serve as a foundation for future experimental and theoretical studies.
本文采用有限元方法对液晶弹性体裂纹尖端场进行了数值模拟研究。由于聚合物网络的变形和液晶介元的旋转之间的耦合，LCEs表现出独特的力学行为，如软弹性和方向可调的各向异性。数值模拟的重点是一个具有小中心裂纹的矩形LCE板，受到均匀拉伸。模拟结果表明，裂纹尖端附近存在单轴应力状态，应力奇异服从指数为- 1的幂律。沿裂纹尖端周围的周向，应力分布呈现出明显的极化，极化方向与初始细观取向精确对齐。对于裂纹尖端的介观重定向，区分了两种类型的介观旋转——聚合物网络的刚体旋转和网络拉伸引起的相对旋转。研究发现，刚体旋转会导致裂纹尖端细观取向的显著不均匀性，但相对旋转会使细观取向更加均匀，通常与施加拉伸的方向一致。最终的细观取向由初始取向和旋转决定，与裂纹尖端应力场的大小密切相关。这些发现为LCEs的断裂行为提供了有价值的见解，可以为未来的实验和理论研究奠定基础。
Analytical solution for adhesive contact of magneto-electro-elastic composites under an axisymmetric power-law indenter: A Maugis–Dugdale framework
Qing-Hui Luo, Yue-Ting Zhou
doi:10.1016/j.ijsolstr.2025.113391
轴对称幂律压头下磁-电弹性复合材料粘接接触的解析解：一个Maugis-Dugdale框架
Switchable adhesion in response to external stimuli plays a critical role in various applications such as transfer printing, climbing robots and soft gripper. Multiferroic composites can give specific responses to mechanical-electro-magnetic loadings due to their multi-field coupling effects, which offer new routines to achieve tunable adhesion. In this work, the classical Maugis-Dugdale (M−D) adhesion model is extended to address the axisymmetric adhesive contact problem between a multiferroic composite half-space and an axisymmetric power-law indenter with real shape index n. By virtue of the superposition principle and Griffith energy balance, analytical solutions of the physical quantities at the contact surface and the relationships among the indentation force, contact radius and indentation depth for M−D-n model are obtained. The Derjaguin–Muller–Toporov (DMT)-n solutions applicable to multiferroic composites are derived from the corresponding M−D-n solutions as the limiting cases, which are new to literature and acquired in this work for the first time. The effects of the electromagnetic properties and profile of the indenter on adhesion behaviors are discussed. It is found that the electromagnetic properties of the indenter have hardly influence on adhesion behaviors in the absence of electromagnetic loadings, which means that one can replace the multi-field coupling adhesion solutions with the purely elastic adhesion solutions in nanoindentation characterization of multiferroic composites under this circumstance. The profile of the indenter has a prominent effect on the transition behavior from DMT-n solution to JKR-n solution. The adhesion enhancing effect induced by the electromagnetic loadings diminishes with increasing the shape index of the indenter and the magnitude of the generalized Tabor parameter. The results obtained from this work not only lay the theoretical basis for nanoindentation technique in characterizing material properties of multiferroic composites, but also possess potential application value in switchable adhesion.
响应外部刺 激的可切换粘附在各种应用中起着至关重要的作用，例如转移印刷，攀爬机器人和软抓取器。多铁复合材料由于其多场耦合效应，可以对机械-电磁载荷做出特定的响应，这为实现可调粘附提供了新的途径。本文将经典的Maugis-Dugdale （M−D）粘接模型扩展到多铁复合材料半空间与实形状指数n的轴对称幂律压头之间的轴对称粘接接触问题。利用叠加原理和Griffith能量平衡，得到了M−D-n模型的接触面物理量以及压痕力、接触半径和压痕深度之间的关系的解析解。以M−D-n解为极限情况，导出了适用于多铁复合材料的Derjaguin-Muller-Toporov (DMT)-n解，这是文献中首次获得的新解。讨论了压头的电磁特性和形状对粘接性能的影响。研究发现，在没有电磁载荷的情况下，压头的电磁特性对黏附行为几乎没有影响，这意味着在这种情况下，多铁复合材料的纳米压痕表征可以用纯弹性黏附溶液代替多场耦合黏附溶液。压头的形状对DMT-n溶液到JKR-n溶液的过渡行为有显著影响。随着压头形状指数的增大和广义Tabor参数的增大，电磁载荷对压头黏附力的增强作用逐渐减弱。本研究结果不仅为纳米压痕技术表征多铁复合材料的材料性能奠定了理论基础，而且在可切换粘附方面具有潜在的应用价值。
Angle-dependent peeling behavior of compliant nanofilms on planar substrates
Xuebo Yuan
doi:10.1016/j.ijsolstr.2025.113380
平面基底上柔顺纳米膜的角度依赖性剥离行为
The peeling of compliant nanofilms from supporting substrates is essential in mechanical exfoliation techniques, biomimetic adhesives, and nanoelectromechanical systems. Prior to the steady state, the peeling force typically increases in the initial stage and then decreases nonlinearly in the transition stage. However, existing mechanics models rarely capture the effects of the film’s tensile stiffness and peeling angle on these two stages, particularly the initial peeling stiffness and peak peeling force. Though extending a recent model (Yuan et al., 2024) by accurately incorporating the film’s in-plane deformation and arbitrary peeling angle, this work establishes a comprehensive large-deformation model using the energy-variational method. The proposed model effectively predicts the entire peeling process across different peeling angles and is validated by molecular dynamics simulations. For relatively large peeling angle, the film’s tensile stiffness exhibits minor effect on the peeling behavior. The influences of the peeling angle on the peeling process, peeling stiffness, and peak peeling force are analyzed in detail. Through dimensional analysis, an explicit scaling relation for the peak peeling force is derived, accounting for system parameters such as peeling angle, film stiffness, structural parameters, and interfacial properties. This work provides a comprehensive model for the peeling behavior of nanofilm-substrate systems, offering new insights into the atomic-scale interface mechanics of two-dimensional materials.
从支撑基板上剥离柔顺的纳米膜在机械剥离技术、仿生粘合剂和纳米机电系统中是必不可少的。在稳定状态之前，剥落力通常在初始阶段增大，然后在过渡阶段非线性减小。然而，现有的力学模型很少能捕捉到薄膜的拉伸刚度和剥离角度对这两个阶段的影响，特别是初始剥离刚度和峰值剥离力。本文通过对Yuan等人（2024）的最新模型进行扩展，将薄膜的面内变形和任意剥离角度精确地纳入其中，利用能量变分方法建立了一个综合的大变形模型。该模型有效地预测了不同剥离角度下的整个剥离过程，并通过分子动力学模拟进行了验证。当剥离角度较大时，薄膜的拉伸刚度对剥离行为影响较小。详细分析了剥离角度对剥离过程、剥离刚度和剥离峰值力的影响。通过量纲分析，导出了考虑剥离角度、膜层刚度、结构参数和界面性能等系统参数的峰值剥离力的显式标度关系。这项工作为纳米膜-衬底系统的剥离行为提供了一个全面的模型，为二维材料的原子尺度界面力学提供了新的见解。
Optimization and experimental validation of anti-tri chiral lattice metamaterial for broadband vibration suppression
Vahid Tikani, Saeed Ziaei-Rad
doi:10.1016/j.ijsolstr.2025.113384
反三手性晶格超材料宽带振动抑制的优化与实验验证
A key challenge in metamaterials design is to optimize the anti-tri chiral structure with precise and controllable geometry, considering performance criteria. This work proposes a parametric anti-tri-chiral lattice made from Polylactic acid (PLA) polymer to open the wide bandgap for vibration suppression. Experiments and theoretical methods study anti-tri-chiral lattice to analyze the vibration attenuation features of the metamaterial. The band structure was studied in terms of the geometry parameters of the unit cell to investigate the effect of geometry changes on the bandgap size. To ensure the best geometry of the anti-tri-chiral unit cell, an automated optimization process is conducted using MATLAB and COMSOL Multiphysics based on Non-dominated Sorting Genetic Algorithm II (NSGA-II). Two optimization cases were performed with different objectives, and the results indicated that the optimized geometry yields enhanced vibration suppression capabilities and a wide complete bandgap. Finally, the anti-tri-chiral lattice is fabricated using Fused Deposition Molding (FDM), and experimental testing is performed to validate the proposed design.
在考虑性能标准的前提下，优化具有精确和可控几何形状的反三手性结构是超材料设计的一个关键挑战。本文提出了一种由聚乳酸（PLA）聚合物制成的参数化反三手性晶格，以打开宽带隙来抑制振动。实验和理论方法研究了反三手性晶格，分析了超材料的减振特性。从单晶胞的几何参数角度研究了带隙结构，探讨了几何结构变化对带隙大小的影响。为了确保反三手性单元胞的最佳几何形状，基于非支配排序遗传算法II (NSGA-II)，利用MATLAB和COMSOL Multiphysics进行了自动化优化过程。采用不同的优化目标进行了两种优化情况，结果表明，优化后的几何结构具有更强的振动抑制能力和更宽的全带隙。最后，采用熔融沉积成型（FDM）技术制备了反三手性晶格，并进行了实验测试以验证所提出的设计。
Journal of the Mechanics and Physics of Solids
Construction of Isotropic Compressible Hyperelastic Constitutive Models Based Solely on Uniaxial Tests
Pengfei Yang, Peidong Lei, Bin Liu, Huajian Gao
doi:10.1016/j.jmps.2025.106150
基于单轴试验的各向同性可压缩超弹性本构模型构建
Constructing constitutive models for compressible soft materials is essential for accurately describing their highly nonlinear, large deformation mechanical behavior and volumetric deformation. However, most existing constitutive models rely on predefined assumptions about the form of the strain energy function. Constructing compressible hyperelastic constitutive models is particularly challenging because, beyond the uniaxial test, it typically requires additional more sophisticated and more costly experiments, such as biaxial, pure shear, and hydrostatic tests. In this paper, we propose an approach to constructing an isotropic compressible hyperelastic constitutive model without assuming a predefined form of the strain energy function. Instead, we derive the strain energy function directly from experimental data. Our method requires only uniaxial tests, significantly simplifying the experimental requirements and costs. This approach is achieved by utilizing the deviatoric-volumetric decomposition of the strain energy function coupled with an interpolation scheme. To validate our proposed approach, we compare our model against traditional compressible constitutive models and well-known experimental data on incompressible rubbers. Additionally, we perform experiments on compressible rubbers, including foamed silicone and foamed EPDM (ethylene propylene diene monomer), for further validation. It is found that our model perfectly predicts the uniaxial test data and accurately predicts mechanical behavior under various other loading conditions. Finally, we discuss strategies for enhancing model accuracy and its ability to decouple uniaxial behavior from compressibility. This decoupling feature is crucial for accurately capturing the distinct mechanical responses associated with different deformation modes, thereby improving the predictive capability of the constitutive model.
建立可压缩软质材料的本构模型是准确描述其高度非线性、大变形力学行为和体积变形的关键。然而，大多数现有的本构模型依赖于关于应变能函数形式的预定义假设。构建可压缩超弹性本构模型尤其具有挑战性，因为除了单轴测试之外，它通常还需要额外的更复杂和更昂贵的实验，如双轴、纯剪切和静水试验。在本文中，我们提出了一种构造各向同性可压缩超弹性本构模型的方法，而不需要假设应变能函数的预定义形式。相反，我们直接从实验数据推导出应变能函数。我们的方法只需要单轴测试，大大简化了实验要求和成本。该方法是利用应变能函数的偏差体积分解与插值方案相结合来实现的。为了验证我们提出的方法，我们将我们的模型与传统的可压缩本构模型和众所周知的不可压缩橡胶的实验数据进行了比较。此外，我们还对可压缩橡胶进行了实验，包括发泡硅胶和发泡EPDM（乙丙二烯单体），以进一步验证。结果表明，该模型能较好地预测单轴试验数据，并能较准确地预测各种载荷条件下的力学行为。最后，我们讨论了提高模型精度及其将单轴行为与可压缩性解耦的能力的策略。这种解耦特性对于准确捕捉与不同变形模式相关的不同力学响应至关重要，从而提高本构模型的预测能力。
Mechanics of Materials
On modeling fracture of soft polymers
Aditya Konale, Vikas Srivastava
doi:10.1016/j.mechmat.2025.105346
软聚合物断裂建模研究
Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying loading profiles and specimen geometries. Works on modeling fracture in rate-dependent soft polymers are limited to specific pre-cracked geometries. There is no generally agreed-upon model for the fracture of soft polymers. We propose and show that a critical value of stress work can be used as a measure of fracture resistance in soft polymers. We develop a damage model to predict fracture in soft polymers. In the model, the energetic part of the critical stress work is proposed as a damage initiation criterion that has the ability to capture failure surfaces. The damage growth is modeled through a generalized gradient-damage framework. The fracture model is validated for both elastomers and viscous soft polymers by comparing model predictions against experimental results for different materials (ethylene propylene diene monomer - EPDM, EPS25 vitrimer, styrene butadiene rubber - SBR, and polyborosiloxane - PBS), a variety of specimen geometries, and loading conditions. The model can predict key physical phenomena such as brittle and ductile responses and different fracture profiles. The microstructural quantities, such as subchain dissociation energy during the fracture of polymers, can be predicted from the macroscopic model parameters.
软聚合物是自然界中普遍存在的材料，也是具有从速率无关到速率相关特性的工程材料。目前的断裂韧性测量对于速率相关的软材料来说，对于不同的加载剖面和试样几何形状来说，并不是唯一的。对速率相关软聚合物的断裂建模工作仅限于特定的预裂几何形状。对于软聚合物的断裂，目前还没有一个公认的模型。我们提出并证明了应力功的临界值可以作为软聚合物抗断裂性的衡量标准。我们开发了一个损伤模型来预测软聚合物的断裂。在该模型中，临界应力功的能量部分被提出作为一种能够捕捉破坏面的损伤起裂判据。采用广义梯度损伤框架对损伤增长进行建模。通过将模型预测结果与不同材料（乙丙二烯单体EPDM、EPS25玻璃体、丁苯橡胶SBR和聚硼硅氧烷PBS）、各种试样几何形状和加载条件下的实验结果进行比较，验证了弹性体和粘性软聚合物的断裂模型。该模型可以预测脆性和韧性响应以及不同的断裂剖面等关键物理现象。从宏观模型参数可以预测聚合物断裂时的亚链解离能等微观结构量。
