【新文速递】2025年9月24日固体力学SCI期刊最新文章

 

今日更新：International Journal of Solids and Structures 1 篇，Journal of the Mechanics and Physics of Solids 2 篇，Mechanics of Materials 3 篇，Thin-Walled Structures 1 篇

International Journal of Solids and Structures

Forecast buckling and wrinkling an alysis of Föppl von-Kármàn plates in functionally graded materials using Hermite-type approaches

Mohammed Rammane, Said Mes moudi, Oussama Elmhaia, Youssef Hilali, Omar Askour, Oussama Bourihane

doi:10.1016/j.ijsolstr.2025.113650

使用hermite方法预测功能梯度材料中Föppl von-Kármàn板的屈曲和起皱分析

This work presents a numerical an alysis of buckling and wrinkling phenomena in thin Functionally Graded (FG) isotropic and FG sandwich plates using the Föppl von-Kàrmàn theory. Three numerical approaches based on the use of the Asymptotic Numerical Method (ANM) with Hermite-type approximations under either strong or weak formulations are introduced. These approaches include the recently suggested Collocation Hermite-type Weighted Least Squares method (CHtWLS) coupled with ANM , the Finite Element Method (FEM) with ANM , and the Hermite-type Element Free Galerkin method (HEFG) with ANM. They are applied to study the influence of boundary conditions, plate geometry, and material distribution in FG sandwich plates on the stationary bifurcation behavior. The presented approaches employ path-following techniques to accurately and efficiently predict critical load factors and wrinkling shape modes. The use of different numerical methods adds versatility and robustness to the an alysis, making the proposed CHtWLS with ANM particularly efficient and straightforward for nonlinear problems with Hermitian boundary conditions and a low degree of freedom, unlike FEM and HEFG with ANM, which are used under a weak form without the need for special treatment techniques. The buckling phenomenon is investigated in this study on square and rectanugular plates using a biaxial compressive load, while the wrinkling phenomenon is investigated using a uniaxial tensile and compressive loads. The numerical findings underscore the significance of the FG power-law index as a crucial parameter influencing buckling behavior and critical loads under various boundary conditions. Notably, the study unveils an unusual wrinkling phenomenon under simply-supported boundaries, revealing a nonlinear bifurcation diagram featuring multiple critical points and folding behaviors in both square and rectangular plates.

本文采用Föppl von-Kàrmàn理论对各向同性梯度和梯度夹层板的屈曲和起皱现象进行了数值分析。本文介绍了基于渐近数值方法（ANM）的三种数值方法，以及在强或弱形式下的hermite型近似。这些方法包括最近提出的与ANM相结合的配置艾尔米特型加权最小二乘法（CHtWLS）、与ANM相结合的有限元法（FEM）以及与ANM相结合的艾尔米特型无单元伽辽金法（HEFG）。应用它们研究了FG夹层板的边界条件、板的几何形状和材料分布对其稳态分岔行为的影响。所提出的方法采用路径跟踪技术来准确有效地预测临界载荷因子和起皱形状模式。不同数值方法的使用增加了分析的通用性和鲁棒性，使所提出的带有ANM的CHtWLS对于具有厄米边界条件和低自由度的非线性问题特别有效和直接，而不像带有ANM的FEM和HEFG，它们在弱形式下使用而不需要特殊处理技术。本文研究了方形和矩形板在双轴压缩载荷作用下的屈曲现象，以及在单轴拉伸和压缩载荷作用下的起皱现象。数值结果强调了FG幂律指数作为影响各种边界条件下屈曲行为和临界载荷的关键参数的重要性。值得注意的是，该研究揭示了简支边界下不同寻常的起皱现象，揭示了正方形和矩形板具有多个临界点和折叠行为的非线性分岔图。

Journal of the Mechanics and Physics of Solids

Coupled cluster and dislocation dynamics modeling of microstructure evolution in irradiated materials

Yang Li, Matthew Maron, Kristopher Baker, Benjamin Ramirez Flores, Thomas Black, James Hollenbeck, Inam Lalani, Nasr Ghoniem, Giacomo Po

doi:10.1016/j.jmps.2025.106366

辐照材料微观结构演化的团簇和位错耦合动力学模拟

We develop here a coupled cluster and dislocation dynamics framework to study the microstructure evolution of irradiated materials. The framework not only accounts for the three dimensional diffusion of radiation-generated clusters, but also their interaction with dislocation networks and the resultant climb motion of discrete dislocations within finite crystals. The framework is solved with a superposition solution scheme, and is applied to investigate the evolution of the irradiation-induced dislocation loops in zirconium (Zr), considering the effects of various bias factors including the diffusion anisotropy difference (DAD) of interstitials and interstitial clusters, the dislocation bias of defects to discrete dislocation segments, and the production bias of defects from the radiation cascade. We find that the DAD is the most critical factor influencing the kinetics of the loop evolution in Zr, while the recombination/interaction of mobile defects can induce a strong spatial dependence of the loop evolution together with the DAD. The method is also adopted to study the evolution of interstitial 〈a〉and vacancy 〈c〉 dislocation loop ensembles consistent with the microstructure observed during irradiation-induced growth of Zr. Our findings not only reveal the spatial dependence of the size and ellipticity of the dislocation loops, but also suggest a limit on the anisotropy factor of interstitials to reproduce the co-growth of 〈a〉 and 〈c〉 loops in zirconium, in good agreement with experimental observations and other simulation results.

我们开发了一个耦合簇和位错动力学框架，用于研究辐照材料的微观结构演变。该框架不仅考虑了辐射生成簇的三维扩散，还考虑了它们与位错网络的相互作用以及有限晶体中离散位错的爬升运动。该框架采用叠加求解方案进行求解，并应用于研究辐照诱导的锆（Zr）中位错环的演变，同时考虑了各种偏置因素的影响，包括间隙原子和间隙簇的扩散各向异性差异（DAD）、缺陷对离散位错段的位错偏置以及辐射级联产生的缺陷的产生偏置。我们发现，DAD 是影响 Zr 中位错环演变动力学的最关键因素，而移动缺陷的复合/相互作用与 DAD 一起可导致位错环演变的强烈空间依赖性。该方法还被用于研究在锆辐照生长过程中观察到的符合微观结构的间隙〈a〉和空位〈c〉位错环集 合体的演变。我们的研究结果不仅揭示了位错环大小和椭圆度的空间依赖性，还表明了要重现锆中〈a〉和〈c〉环的共生长，间隙的各向异性因子存在一个限制，这与实验观察结果和其他模拟结果高度一致。

Plastic deformation as a phase transition: A combinatorial model of plastic flow in copper single crystals

Afonso D.M. Barroso, Elijah Borodin, Andrey P. Jivkov

doi:10.1016/j.jmps.2025.106370

塑性变形作为相变：铜单晶塑性流动的组合模型

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly discrete constructions and in the discrete exterior calculus. A pre-existing continuum mean-field model with two parameters is rewritten in the language of the latter to model the properties of a network of plastic slip events in a perfect copper single crystal under uniaxial tension. The behaviour of the system is simulated in a triangular 2D mesh in 3D space employing a Metropolis–Hastings algorithm. Phases of distinct character emerge and both first-order and second-order phase transitions are observed. The phases represent arrangements of the plastic slip network with different combinations of collinear, coplanar, non-collinear and non-coplanar active slip systems. Furthermore, some of these phases can be interpreted as representing crystallographic phenomena like activation of secondary slip systems, strain localisation and fracture or amorphisation. The first-order transitions mostly occur as functions of the applied stress, while the second-order transitions occur exclusively as functions of the mean-field coupling parameter. The former are reminiscent of transitions in other statistical–mechanical models, while the latter find parallels in experimental observations.

塑性连续统模型不能捕捉微观结构演化的丰富性，因为连续统是一种同质结构。目前的研究表明，在中尺度上，在真正离散的结构和离散的外部演算中，有一种替代方法是可用的。将已有的含两个参数的连续平均场模型用后者的语言重写，以模拟完美铜单晶在单轴拉伸作用下的塑性滑移事件网络的性质。采用Metropolis-Hastings算法在三维空间的二维三角形网格中模拟了系统的行为。不同性质的相出现，并观察到一阶和二阶相变。这些相代表了共线、共面、非共线和非共面主动滑移体系不同组合的塑性滑移网络排列。此外，这些相中的一些可以解释为代表晶体学现象，如二次滑移系统的激活，应变局部化和断裂或非晶化。一阶过渡主要作为外加应力的函数，而二阶过渡只作为平均场耦合参数的函数。前者让人想起其他统计力学模型中的过渡，而后者在实验观察中发现了相似之处。

Mechanics of Materials

Statistics of maximum stress for elastic wave propagation in a random porous solid

Shiwen Feng, Q.M. Li

doi:10.1016/j.mechmat.2025.105508

弹性波在随机多孔固体中传播的最大应力统计

The stochastic characteristics of elastic wave scattering in random porous solids lead to the complexity and uncertainty for the determination of local maximum stress. There are limited studies to predict and estimate the maximum stress in such medium mainly due to the lack of efficient and accurate modeling tools. In order to address this issue, this work presents a new approach to quantify the statistics of maximum stress induced by multiple wave scattering effects in such medium. By combining the high-fidelity finite element method with Monte Carlo simulation, this work provides a comprehensive framework for evaluating the mean, standard deviation and probability distribution of maximum stress in random porous solids. It is demonstrated that the mean and standard deviation of maximum stress depend highly on the wave frequency and the correlations among cavities. The probability density function of maximum stress is ana lytically formulated by Burr Ⅻ distribution where the wave frequency and the correlation among cavities are taken into account jointly. The related parameters involved in the statistical distribution are estimated by maximum likelihood method and the Kolmogorov-S mirnov test is adopted to examine the goodness of fitting distribution. The heavy-tailed behavior observed in the statistical distribution is elaborated by linking to the interaction effects of waves with random microstructures, which is crucial for the dynamic failure assess ment of porous solids. Finally, the dynamic stress concentration associated with maximum stress in random porous solid is investigated, which potentially relates to the scatterer resonance effects. This work facilitates the understanding of wave-induced dynamic stress in heterogeneous media, providing a statistical approach for dynamic failure assess ment in random porous solids.

随机多孔固体中弹性波散射的随机特性导致了局部最大应力计算的复杂性和不确定性。由于缺乏高效、准确的模拟工具，对此类介质中最大应力的预测和估计研究有限。为了解决这一问题，本文提出了一种新的方法来量化这种介质中由多重波散射效应引起的最大应力的统计。通过将高保真有限元法与蒙特卡罗模拟相结合，为随机多孔固体中最大应力的均值、标准差和概率分布提供了一个综合的评估框架。结果表明，最大应力的平均值和标准差在很大程度上取决于波的频率和空腔之间的相关性。最大应力的概率密度函数由BurrⅫ分布解析表示，同时考虑了波频和空腔间的相关性。采用极大似然法对统计分布中涉及的相关参数进行估计，并采用Kolmogorov-S mirnov检验检验拟合分布的优度。在统计分布中观察到的重尾行为通过将波与随机微观结构的相互作用效应联系起来加以阐述，这对于多孔固体的动态破坏评估至关重要。最后，研究了随机多孔固体中与最大应力相关的动应力集中，这可能与散射共振效应有关。这项工作有助于理解非均质介质中波动引起的动应力，为随机多孔固体的动态破坏评估提供了一种统计方法。

Contact of an inflated circular magnetoelastic membrane with a rigid substrate under magnetic actuation

Purusottam Nanda, Soham Roychowdhury

doi:10.1016/j.mechmat.2025.105503

在磁驱动下，膨胀的圆形磁弹性膜与刚性基板的接触

S mart actuators have gained considerable attention in soft robotics and biomechanical applications in recent years. Magnetoelastic inflatables, as s mart structures, offer the distinct advantage of remote actuation under the influence of a magnetic field. This study investigates the contact behavior between an inflated circular magnetoelastic membrane and a flat rigid substrate, driven solely by magnetic actuation. The membrane is modeled as a homogeneous, isotropic, and incompressible material using the Ogden constitutive model, extended with magnetic energy terms. Initially in a flat undeformed state, the membrane undergoes large deformation upon the application of internal pressure and a magnetic field generated by a dipole placed above it. The core objective is to induce contact between the inflated magnetoelastic membrane and the rigid substrate using only magnetic stimulation without mechanical actuation. A variational approach is employed to formulate the free inflation and contact problem, which is then recast into a two-point boundary value problem (TPBVP) through an appropriate transformation of field variables. The contact patch’s evolution is ana lyzed under frictionless and no-slip conditions for varying magnetic field strengths and dipole heights. The contact area increases until a maximum radius is achieved as the dipole approaches the membrane. For the frictionless case, the contact region subsequently shrinks, indicating the potential existence of a critical interaction force. In contrast, the no-slip condition leads to stretch locking, fixing the contact boundary at the maximum radius and causing a sharp rise in internal pressure. Unlike hyperelastic membranes, the in-plane principal stretch ratios within the contact region are anisotropic. For the frictionless scenario, membrane thickening is observed at the center of the contact patch—closest to the dipole—due to the free sliding of material particles. Wrinkling instabilities emerge as the dipole nears the membrane, though these can be mitigated by increasing the Ogden model’s material parameter values. The magnetic contribution predominantly influences the total magnetoelastic Cauchy stress, further enhancing the likelihood of wrinkling within the contact region.

近年来，智能执行器在软机器人和生物力学领域得到了广泛的关注。磁弹性膨胀体作为一种智能结构，具有在磁场影响下远程驱动的独特优势。本研究研究了仅由磁致动驱动的充气圆形磁弹性膜与平面刚性基板之间的接触行为。膜是一个均匀的，各向同性的，不可压缩的材料使用奥格登本构模型，扩展与磁能项。最初，薄膜处于平坦的未变形状态，在施加内部压力和置于其上方的偶极子产生的磁场的作用下，薄膜发生了很大的变形。核心目标是仅使用磁刺 激而不使用机械驱动诱导充气磁弹性膜与刚性基板之间的接触。采用变分方法对自由膨胀与接触问题进行了表述，并通过对场变量进行适当的变换，将其转化为两点边值问题。在无摩擦和无滑移条件下，分析了不同磁场强度和偶极子高度下接触贴片的演化过程。接触面积增加，直到偶极子接近膜时达到最大半径。对于无摩擦的情况，接触区域随后收缩，表明可能存在临界相互作用力。相反，无滑移条件导致拉伸锁紧，将接触边界固定在最大半径处，并导致内压急剧上升。与超弹性膜不同，接触区内的面内主拉伸比是各向异性的。在无摩擦情况下，由于材料颗粒的自由滑动，在靠近偶极子的接触片中心观察到膜增厚。当偶极子靠近膜时，皱折不稳定性就会出现，尽管这些可以通过增加Ogden模型的材料参数值来减轻。磁贡献主要影响总磁弹性柯西应力，进一步增加了接触区域内起皱的可能性。

Inversion of the thermomechanical response in nitinol under cyclic loading: an ana lytical interpretation based on the thermoelastic effect theory

V. Pinto, S. Di Leonardo, G. Pitarresi, G. Burriesci

doi:10.1016/j.mechmat.2025.105506

循环载荷下镍钛诺热力学响应的反演：基于热弹性效应理论的解析解释

The superelastic behaviour of nitinol is crucial for the design of collapsible and self-expanding cardiovascular implants. Once these are expanded into the host anatomy, the material is predominantly in the austenitic configuration in the majority of the structure, and the cyclic loads acting on the devices are primarily due to s mall blood pressure variations occurring during the cardiac cycle. Nevertheless, only very few studies have explored the temperature evolution during s mall cyclic loading of nitinol in a stable austenitic state, reporting an unusual response, where the thermoelastic signal is in phase with the sinusoidal loading wave, rendering the common fundamental law of the thermoelastic effect inapplicable. In this study, infrared thermography (IRT) was employed to investigate the thermomechanical behaviour of an austenitic nitinol specimen under cyclic sinusoidal loading, with increasing amplitude and average strain values. An inversion of the thermomechanical response of nitinol was observed experimentally and explained ana lytically adopting the higher-order thermoelastic theory. The understanding of the austenitic temperature modulation with the local level of stress allowed to define an IRT approach suitable to quantify the stress levels, knowing the material thermal response and the ratio between mean and amplitude of the applied load.

镍钛诺的超弹性特性对可折叠和自膨胀心血管植入物的设计至关重要。一旦这些扩展到宿主解剖结构中，材料在大多数结构中主要处于奥氏体结构，并且作用在设备上的循环负荷主要是由于心脏周期期间发生的小血压变化。然而，只有很少的研究探讨了镍钛诺在稳定奥氏体状态下的小循环加载过程中的温度演变，报道了一个不寻常的响应，其中热弹性信号与正弦加载波相一致，使得热弹性效应的一般基本定律不适用。在本研究中，红外热成像（IRT）研究了奥氏体镍钛诺试样在循环正弦载荷下的热力学行为，随着振幅和平均应变值的增加。对镍钛诺的热力学响应进行了实验观测，并采用高阶热弹性理论对其进行了解析解释。对奥氏体温度调制与局部应力水平的理解允许定义适合于量化应力水平的IRT方法，了解材料热响应以及施加载荷的平均值和振幅之间的比率。

Thin-Walled Structures

Probabilistic restoring force model of corroded steel column considering corrosion pit random characteristics

Youde Wang, Xiaodong Zhou, Zhihao Fang, Hao Wang, Haijiang Zhang, Bo Liu, Muzaffar Hamdamov, Shanhua Xu

doi:10.1016/j.tws.2025.114021

考虑腐蚀坑随机特性的腐蚀钢柱概率恢复力模型

This paper systematically investigated the influence of corrosion on the hysteretic performance of steel columns through experimental research, theoretical a nalysis and numerical simulation. A probabilistic restoring force model of corroded steel column considering corrosion pit random characteristics was established. Pseudo-static tests on artificially accelerated corroded steel columns revealed that corrosion accelerated buckling occurrence, reduced buckling deformation range of column bottom, and significantly decreased strength, stiffness and ductility. Based on the load-displacement hysteresis curves and theoretical a nalysis, a restoring force model (RFM) for corroded steel columns was proposed. To quantify the uncertainty introduced by corrosion pit randomness for RFM, extensive finite element parametric an alyses of corroded steel columns were performed through Monte Carlo simulation. The results showed that key parameters of RFM followed normal distributions. Their mean and standard deviation exhibited functional relationships (linear or power) with the non-uniform corrosion ratio of steel column (ρ_pc). Accordingly, a probabilistic RFM of corroded steel column considering corrosion pit random characteristics was established, providing theoretical basis and data support for the seis mic performance assess ment of existing corroded steel structures.

本文通过实验研究、理论分析和数值模拟系统地研究了腐蚀对钢柱滞回性能的影响。建立了考虑腐蚀坑随机特性的锈蚀钢柱概率恢复力模型。对人工加速锈蚀钢柱进行的拟静力试验表明，腐蚀加速了屈曲的发生，减小了柱底屈曲变形范围，并显著降低了强度、刚度和延性。基于荷载 - 位移滞回曲线和理论分析，提出了锈蚀钢柱的恢复力模型（RFM）。为了量化腐蚀坑随机性对 RFM 引入的不确定性，通过蒙特卡罗模拟对锈蚀钢柱进行了大量的有限元参数分析。结果表明，RFM 的关键参数服从正态分布。其均值和标准差与钢柱的非均匀腐蚀率（ρ_pc）存在函数关系（线性或幂函数）。因此，建立了考虑腐蚀坑随机特性的锈蚀钢柱概率性 RFM，为既有锈蚀钢结构的抗震性能评估提供了理论依据和数据支持。