【新文速递】2026年5月22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 4 篇，Mechanics of Materials 3 篇，International Journal of Plasticity 1 篇，Thin-Walled Structures 5 篇

International Journal of Solids and Structures

Investigation of mechanical properties and constitutive modeling of tendon tissues based on biaxial tensile testing

Chunyu Kong, Jie Lu, Heng Zhang, Tianyu Bai, MinghanYuan, Aoling Liu, Renye Cai, Yiwei Zhu, Quan Zhou, Xuwen Lai

doi:10.1016/j.ijsolstr.2026.114100

基于双轴拉伸试验的肌腱组织力学性能及本构建模研究

Tendon injuries are common in sports medicine and orthopedics. Their high re-rupture rate under complex loading conditions is closely associated with insufficient mechanical performance. In this study, porcine flexor digitorum profundus tendon (FDPT) and Achilles tendon (AT) were selected as research subjects. Detailed mechanical behaviors and microstructural characteristics of these lower limb tendons were obtained through biaxial tensile testing and histopathological an alysis. The results demonstrated that both the FDPT and the AT exhibited higher compliance in the transverse direction and greater stiffness in the longitudinal direction. Histopathological an alysis revealed microstructural alterations in tendon samples following tensile loading, including partial rupture, rearrangement, and redistribution of collagen fibers. Experimental findings indicated that tissue damage began to accumulate when the strain in the FDPT and the AT exceeded 6%. Both polynomial strain energy functions and exponential-type strain energy functions effectively captured the mechanical responses of these tendons. This study enhances the understanding of the mechanical properties and damage mechanisms of the FDPT and the AT, validates the capability of strain energy functions in characterizing the anisotropic behavior of lower limb tendons, and provides an experimental foundation for future computational modeling research.

肌腱损伤在运动医学和骨科中很常见。其在复杂载荷条件下的高再破裂率与力学性能不足密切相关。本研究以猪指深屈肌腱（FDPT）和跟腱（AT）为研究对象。通过双轴拉伸试验和组织病理学分析，获得了下肢肌腱的详细力学行为和微观结构特征。结果表明，FDPT和AT在横向上具有较高的柔度，在纵向上具有较大的刚度。组织病理学分析显示拉伸载荷后肌腱样品的微结构改变，包括胶原纤维的部分断裂、重排和重新分布。实验结果表明，当FDPT和AT中的应变超过6%时，组织损伤开始累积。多项式应变能函数和指数型应变能函数都能有效地捕获这些肌腱的力学响应。本研究增强了对FDPT和AT的力学性能和损伤机理的认识，验证了应变能函数表征下肢肌腱各向异性行为的能力，为今后的计算建模研究提供了实验基础。

Journal of the Mechanics and Physics of Solids

Viscoelastic Topological Mechanical Metamaterial for Broadband Vibration Isolation

Fan Liu, Nan Cheng, James P. McInerney, Ellen M. Arruda, Xiaoming Mao, Zi Chen

doi:10.1016/j.jmps.2026.106690

宽带隔振粘弹性拓扑机械超材料

Broadband vibration isolation, particularly at low frequencies, remains a longstanding challenge across a range of engineering applications from high-precision fabrication systems to seismic protection of civil structures. In this study, we present a viscoelastic kagome lattice, a type of topological mechanical metamaterial, that integrates topologically protected edge modes with engineered material damping to achieve broadband attenuation that extends down to frequencies approaching zero. We first demonstrate that the elastic kagome lattice supports robust edge-localized modes below the bulk acoustic bands, enabling effective low-frequency isolation. By incorporating viscoelastic behavior modeled through a Standard Linear Solid (SLS) framework, we show that damping strongly attenuates the high-frequency bulk modes while preserving the topological edge modes. We introduce a three-stage band evolution theory that captures how viscoelastic parameters influence the transition and attenuation behavior of these modes, providing a systematic approach to optimize damping characteristics for broadband vibration isolation. This work establishes a design framework for viscoelastic mechanical metamaterials that combines topological robustness with tailored dissipation, offering new capabilities for advanced vibration control systems.

从高精度制造系统到民用结构的抗震保护，宽带隔振，特别是低频隔振，仍然是一系列工程应用的长期挑战。在这项研究中，我们提出了一种粘弹性kagome晶格，这是一种拓扑机械超材料，它将拓扑保护边缘模式与工程材料阻尼集成在一起，以实现宽带衰减，该衰减延伸到接近零的频率。我们首先证明了弹性kagome晶格支持体声带以下的鲁棒边缘局域模式，从而实现有效的低频隔离。通过结合通过标准线性实体（SLS）框架建模的粘弹性行为，我们表明阻尼在保留拓扑边缘模态的同时强烈衰减了高频体模态。我们介绍了一个三阶段波段演化理论，该理论捕捉了粘弹性参数如何影响这些模态的过渡和衰减行为，为优化宽带隔振的阻尼特性提供了一个系统的方法。这项工作建立了粘弹性机械超材料的设计框架，结合了拓扑鲁棒性和定制耗散，为先进的振动控制系统提供了新的能力。

From Muskhelishvili Potentials to Williams Expansion of Crack-Tip Stress Fields

Bonan Wang, Yujie Wei, Huajian Gao

doi:10.1016/j.jmps.2026.106689

从Muskhelishvili势到裂纹尖端应力场的Williams展开

The Williams expansion provides a fundamental asymptotic description of crack-tip stress fields in linear elastic fracture mechanics, where the leading singular term governs K-dominance and the non-singular and higher-order terms control crack-tip constraint and deviations from near-tip asymptotics. Despite their importance, a systematic an alytical route for extracting the full Williams expansion directly from full-field solutions remains lacking. Here we establish a direct connection between Muskhelishvili complex potentials and the Williams expansion for two-dimensional elastic crack problems. By matching the asymptotic structure of complex potentials near crack tips, explicit expressions for T-stress are derived and recurrence relations for higher-order Williams coefficients are obtained. This formulation provides a systematic procedure for constructing complete crack-tip asymptotic fields from full-field elasticity solutions. The framework is validated using classical crack configurations and extended to kinked and branched cracks, demonstrating its generality and advantages over perturbative or fitting-based approaches. The resulting higher-order expansions enable quantitative assessment of the spatial extent of K-dominance and clarify when non-singular terms must be retained. Motivated by recent gap-test experiments highlighting the role of crack-parallel stress in fracture behavior, the method is further applied to relate macroscopic crack-parallel stress to local T-stress in crack-tip fields. By bridging Muskhelishvili potentials and the Williams expansion, the present work provides a systematic an alytical basis for evaluating crack-tip constraint and higher-order effects in fracture problems involving complex crack geometries, deviations from K-dominance, and multiphysics coupling.

Williams展开提供了线性弹性断裂力学中裂纹尖端应力场的基本渐近描述，其中领先的奇异项控制k优势，非奇异和高阶项控制裂纹尖端约束和离近尖端渐近的偏差。尽管它们很重要，但仍然缺乏从全油田解中直接提取全威廉姆斯展开的系统分析路线。本文建立了二维弹性裂纹问题的Muskhelishvili复势和Williams展开之间的直接联系。通过匹配裂纹尖端附近复电位的渐近结构，导出了t应力的显式表达式和高阶Williams系数的递推关系。这个公式提供了一个从全场弹性解构造完整裂纹尖端渐近场的系统过程。该框架使用经典裂纹结构进行验证，并扩展到扭结和分支裂纹，证明了其一般性和优于微扰或基于拟合的方法。由此产生的高阶展开式可以定量评估k优势的空间范围，并澄清何时必须保留非奇异项。最近的间隙测试实验突出了裂纹平行应力在断裂行为中的作用，该方法进一步应用于将宏观裂纹平行应力与裂纹尖端场的局部t应力联系起来。通过连接Muskhelishvili势和Williams展开，本工作为评估裂缝尖端约束和高阶效应提供了系统的分析基础，这些裂缝问题涉及复杂的裂纹几何形状、偏离k优势和多物理场耦合。

Nucleation in rank-one gradient plasticity: exact solutions and geometry-dependent regimes

Maria Chiara Comella, Antonino Favata, Andrea Rodella, Stefano Vidoli

doi:10.1016/j.jmps.2026.106688

一级梯度塑性的成核：精确解和几何相关的机制

We investigate plastic nucleation in solids within a strain-gradient plasticity framework featuring a rank-one defect energy, formulated as an incremental convex variational problem. The designation rank-one refers to the fact that the defect energy is positively one-homogeneous with respect to the curl of the plastic strain. The core feature of the framework is the variational selection of the plastic support, which regularizes the singular localization of classical plasticity into a distributed nucleus of finite width and introduces a genuine strengthening effect: the yield threshold is elevated by a discrete energetic barrier, while the post-yield response remains perfectly plastic. For an annular domain under azimuthal shear, we identify two qualitatively distinct nucleation regimes governed by the interplay between the internal length scale and the domain geometry. In the first regime, plasticity spreads over the entire domain in a curl-free compatible configuration. In the second, it localizes in an inner nucleus sealed by a concentrated geometric necessary dislocations wall at a locked front that does not advance upon further loading. Closed-form an alytical solutions are derived for both regimes without any a priori assumption on the plastic support, providing exact benchmarks for the numerical simulations. In the localized regime, both the plastic zone size and the yield threshold follow a square-root scaling law in the internal length scale, in contrast to the linear scaling of previous rank-one models where the plastic support is prescribed by microstructural constraints. Numerical simulations on elliptical geometries show that the scaling exponents and the nucleation pattern depend sensitively on the domain shape, identifying geometry as a control variable of the nucleation process on a par with the internal length scale.

我们研究固体中的塑性成核在应变梯度塑性框架具有一级缺陷能量，表述为一个增量凸变分问题。等级一是指缺陷能量相对于塑性应变的旋度是正一均质的事实。框架的核心特征是塑性支撑的变分选择，它将经典塑性的单一局部化正则化为有限宽度的分布核，并引入了真正的强化效应：屈服阈值被一个离散的能垒提高，而屈服后响应保持完全塑性。对于方位角剪切作用下的环形区域，我们确定了两种性质上不同的成核机制，这两种机制是由内部长度尺度和区域几何形状之间的相互作用决定的。在第一种情况下，塑性以无旋流兼容的结构分布在整个区域。在第二种情况下，它定位于由集中的几何必要的位错壁密封的内核，在锁定的前面，在进一步加载时不会前进。在没有对塑性支承进行任何先验假设的情况下，导出了两种情况下的闭型解析解，为数值模拟提供了精确的基准。在局部化状态下，塑性区尺寸和屈服阈值在内部长度尺度下都遵循平方根标度规律，而之前的一级模型的塑性支撑是由微观结构约束规定的线性标度规律。在椭圆几何上的数值模拟表明，成核指数和成核模式敏感地依赖于区域形状，将几何形状视为与内部长度尺度相当的成核过程的控制变量。

A finite viscoelastic constitutive model for low to high strain rate response of elastomers with application of strain rate-induced glass transition

Bibekananda Datta, Sushan Nakarmi, Nitin P. Daphalapurkar

doi:10.1016/j.jmps.2026.106687

基于应变率诱导玻璃化转变的弹性体低至高应变率响应的有限粘弹性本构模型

Amorphous elastomers exhibit significant rate-stiffening and unique viscous flow characteristics across a wide range of strain rates, often undergoing glass transition above a strain rate threshold. We have developed a thermodynamically-consistent and micromechanically-inspired constitutive model for soft elastomeric materials to capture the rate-dependent stress-strain behavior and hysteresis when subjected to low to high strain rates. Our proposed constitutive model encapsulates the viscous flow of materials through molecular motion at low strain rates and local rearrangement and alignment of the molecules trying to overcome the intermolecular resistance at high strain rates, essentially covering the glass transition. We applied our constitutive model to uniaxial compression experiments performed at low and high strain rates for polyborosiloxane (PBS) to identify the material parameters, and subsequently, performed numerical simulations of single and multi-cycle compression, stress relaxation, and small amplitude oscillatory tension-compression. Our an alyses indicate that the model predicts higher total energy dissipation with increasing strain rate; however, dissipation associated with molecular relaxation decreases (forming a cusp) because, beyond a crossover strain rate, molecular rearrangement and alignment become dominant, which is consistent with the onset of the glass transition. For cyclic loading-unloading, we observed that dissipation over a cycle remains constant at low strain rate but decreases non-monotonically at high strain rates before becoming constant with peak stress over the cycle becoming higher, which can be interpreted as more loading being carried elastically by the polymer network as the molecular rearrangement process occurs. Additionally, our model was able to predict the qualitative nature of the storage modulus and loss modulus in the limit of small strain over a wide range of frequency sweeps.

非晶态弹性体在很大的应变速率范围内表现出显著的速率硬化和独特的粘性流动特性，通常在应变速率阈值以上发生玻璃化转变。我们已经开发了一个热力学一致和微观力学启发的软弹性体材料本构模型，以捕获在低应变率和高应变率下的速率相关的应力-应变行为和滞后。我们提出的本构模型封装了材料的粘性流动，通过低应变速率下的分子运动和分子的局部重排和排列来克服高应变速率下的分子间阻力，基本上覆盖了玻璃化转变。将本构模型应用于聚硼硅氧烷（PBS）在低应变率和高应变率下的单轴压缩实验，以确定材料参数，并随后进行了单周期和多周期压缩、应力松弛和小振幅振荡拉伸压缩的数值模拟。分析表明，该模型预测随着应变速率的增加，总能量耗散增大；然而，与分子弛豫相关的耗散减少（形成尖峰），因为超过交叉应变率，分子重排和排列成为主导，这与玻璃化转变的开始一致。对于循环加载-卸载，我们观察到耗散在低应变率下保持恒定，但在高应变率下非单调地减少，然后随着循环峰值应力的增加而变得恒定，这可以解释为随着分子重排过程的发生，聚合物网络弹性地承载了更多的载荷。此外，我们的模型能够在大范围的频率扫描范围内预测小应变极限下的存储模量和损耗模量的定性性质。

Mechanics of Materials

From cluster features to deformation behavior: a molecular dynamics and machine learning framework for Al-Cu alloys

Han Sun, Xincun Zhuang, Zhen Zhao, Gangfeng Xiao, Qinxiang Xia

doi:10.1016/j.mechmat.2026.105738

从团簇特征到变形行为：Al-Cu合金的分子动力学和机器学习框架

The deformation behavior of aluminum alloys is governed by the complex interplay between microstructural features and loading conditions. However, conventional research methods remain limited in exploring relationships within high-dimensional and multiscale parameter spaces. To overcome these constraints, a comprehensive database was constructed using molecular dynamics simulations, and multiple machine learning models were integrated to establish an interpretable framework linking copper cluster features to deformation behavior in Al-Cu alloys. The results demonstrate that the evaluated machine learning models reliably predict both strength and tension-compression asymmetry, consistently identifying geometric parameters of copper cluster, crystal orientation, and deformation mode as the dominant factors. In particular, the deep neural network and random forest models exhibit superior capability in capturing nonlinear interactions, achieving an unweighted average recall above 0.85 and a misclassification rate below 15%. Furthermore, the mapping diagrams generated from prediction results reveal the relationship between cluster geometry and shear strength. The an alysis indicates that rational cluster design enables the integrated optimization of strength and mechanical anisotropy. This study established a quantitative relationship bridging microstructural features to macroscopic strength, providing an interpretable, data-driven framework for predicting deformation behavior in aluminum alloys.

铝合金的变形行为是由微观组织特征和加载条件之间复杂的相互作用决定的。然而，传统的研究方法在探索高维和多尺度参数空间内的关系方面仍然有限。为了克服这些限制，利用分子动力学模拟构建了一个综合数据库，并集成了多个机器学习模型，建立了一个可解释的框架，将铜簇特征与Al-Cu合金的变形行为联系起来。结果表明，评估的机器学习模型可靠地预测了强度和拉压不对称性，一致地识别出铜簇的几何参数、晶体取向和变形模式是主要因素。特别是，深度神经网络和随机森林模型在捕获非线性相互作用方面表现出卓越的能力，实现了0.85以上的非加权平均召回率和低于15%的错误分类率。此外，根据预测结果生成的映射图揭示了簇的几何形状与抗剪强度之间的关系。分析表明，合理的聚类设计可以实现强度和力学各向异性的综合优化。本研究建立了微观结构特征与宏观强度之间的定量关系，为预测铝合金的变形行为提供了一个可解释的、数据驱动的框架。

Meat-cladding interface cracking in dispersion nuclear fuel elements under nonuniform particle distribution via the virtual crack closure technique

Yingxuan Dong, Qun Li

doi:10.1016/j.mechmat.2026.105737

基于虚拟裂纹闭合技术的非均匀颗粒分布下弥散核燃料元件肉包界面裂纹研究

In dispersion nuclear fuel elements, interface cracking between the fuel meat and cladding degrades local heat transfer efficiency, thereby threatening reactor core safety. This study investigates the cracking behavior at the meat-cladding interface by considering the nonuniform particle distribution near the interface and the in-pile thermomechanical coupling. X-ray microscopy was employed to characterize particle spatial distributions within an an alog dispersion plate. A high-fidelity computational model was subsequently established to simulate cracking at the meat-cladding interface. Using this model, the energy release rate at the crack tip was evaluated across various microstructural configurations via the virtual crack closure technique. Point pattern an alysis techniques grounded in distance metrics served to characterize particle distributions in the near-interface region. These methods also provided validation of the simulation model’s fidelity. The influence of near-interface particle distribution characteristics on the interfacial energy release rate was an alyzed. Numerical results show that the particle agglomeration exacerbates the cracking behavior of the meat-cladding interface. The agglomeration region situated closer to the center of the dispersion meat correlates with a higher interfacial energy release rate. This work demonstrates that the microstructures near the meat-cladding interface can be used to predict the interfacial cracking and blistering locations, providing guidance for evaluating dispersion fuel fabrication processes and enhancing reactor core safety.

在弥散型核燃料元件中，燃料芯与包壳之间的界面开裂会降低局部换热效率，从而威胁堆芯安全。考虑了界面附近非均匀颗粒分布和桩内热-力学耦合，研究了肉-包层界面处的开裂行为。采用x射线显微镜来表征模拟色散板内的粒子空间分布。随后建立了高保真计算模型来模拟肉包层界面的开裂。利用该模型，通过虚拟裂纹闭合技术对不同微观结构形态下裂纹尖端的能量释放率进行了评估。基于距离度量的点模式分析技术用于表征近界面区域的粒子分布。这些方法也验证了仿真模型的保真度。分析了近界面颗粒分布特征对界面能释放率的影响。数值结果表明，颗粒团聚加剧了包层界面的开裂行为。靠近分散肉中心的团聚区与较高的界面能释放率相关。这项工作表明，肉包层界面附近的微观结构可以用来预测界面开裂和起泡位置，为评估分散燃料制造工艺和提高堆芯安全性提供指导。

An alytical Model for Imperfectly Bonded Multi-Layered Structures with Creep Deformations under General Thermomechanical Loading

Mohamed Soliman, Xin-Lin Gao

doi:10.1016/j.mechmat.2026.105735

一般热力载荷下具有蠕变变形的非完美粘结多层结构的解析模型

A new a nalytical model is developed for determining curvature, deflection, axial normal stress, and interfacial shear and normal stresses in an imperfectly bonded multi-layered structure with creep deformations. The structure is composed of an arbitrary number of layers of dissimilar materials and subjected to general thermomechanical loading that induces creep. An extended Bernoulli-Euler beam theory, a slipping interface model and the creep law of Norton are used in the formulation. In the new model, the a nalysis of the time-dependent creep deformation is divided into two stages: the first stage without creep, and the second stage with creep. For the former, a closed-form solution is derived for the imperfectly bonded multi-layer structure by using the quadratic eigenvalue problem method, which is more efficient than other approaches employed in existing studies. For the latter, a solution scheme is constructed for computationally solving the time-dependent governing equations based on the finite difference method. The current model considers non-uniform temperature changes along and across each layer and can be applied to an alyze creep deformations of imperfectly bonded multi-layered structures composed of narrow or wide beams, unlike other models. To illustrate the new model, two example problems are solved: one for a two-layer structure and the other for a three-layer structure. The predictions by the newly derived solution for the two-layer structure agree very well with those from an existing study. For the three-layer structure, the results predicted by the current a nalytical model match well with those from a finite element model constructed using COMSOL Multiphysics. These validate the new model and demonstrate its ability to capture the time evolution of displacement, strain, stress, and interfacial stress fields in an imperfectly bonded multi-layer structure undergoing creep deformations.

建立了一种新的分析模型，用于确定具有蠕变变形的不完全粘结多层结构的曲率、挠度、轴向法向应力以及界面剪应力和法向应力。该结构由任意数量的不同材料层组成，并承受引起蠕变的一般热机械载荷。采用了扩展伯努利-欧拉梁理论、滑移界面模型和诺顿蠕变定律。在新模型中，将随时间变化的蠕变变形分析分为两个阶段：第一阶段无蠕变，第二阶段有蠕变。对于前者，利用二次特征值问题的方法推导了非完全键合多层结构的封闭解，该方法比现有的研究方法效率更高。对于后者，构造了一种基于有限差分法计算求解时变控制方程的解方案。目前的模型考虑了各层沿和跨层的非均匀温度变化，与其他模型不同，可以应用于分析由窄梁或宽梁组成的不完美粘结多层结构的蠕变变形。为了说明新模型，解决了两个例子问题：一个是两层结构，另一个是三层结构。新导出的两层结构解的预测与已有的研究结果非常吻合。对于三层结构，现有分析模型的预测结果与COMSOL Multiphysics构建的有限元模型吻合较好。这些结果验证了新模型的有效性，并证明了该模型能够捕捉发生蠕变的不完美粘结多层结构中位移、应变、应力和界面应力场的时间演变。

International Journal of Plasticity

Additively manufactured high strength-ductility 9Cr ODS alloy: Inducing multi-heterogeneous structure via Y6WO12@W core-shell nanoscale precursor

Mingsheng Yang, Yisheng Dong, Zhichen Wang, Yuxiao Gong, Wanyuan Gui, Tong Liu

doi:10.1016/j.ijplas.2026.104730

增材制备高强度延展性9Cr ODS合金：Y6WO12@W核壳纳米前驱体诱导多相组织

Overcoming the strength-ductility trade-off in additively manufactured 9Cr oxide dispersion strengthened (ODS) alloys is a significant challenge in structural materials design. In this work, multi-heterogeneous microstructures are orchestrated to overcome the strength-ductility trade-off by employing Y6WO12@W (YWO@W) nanoscale core-shell precursor. The multi-heterogeneous structures comprise YWO@W/YWO nanoparticles (NPs), bimodal grains, heterogeneous defects, and heterogeneous deformation zones. The W shell alleviates the density mismatch between YWO NPs and molten matrix, thereby suppressing YWO NPs flotation during additive manufacturing. Concurrently, partial dissolution of W triggers asynchronous martensitic transformations and forms heterogeneous defect zones. The heterogeneous structure interfaces generate substantial geometrically necessary dislocations, resulting in a back stress strengthening of 357 MPa. The uniformly dispersed ∼25 nm YWO/YWO@W NPs provide a contribution of 123 MPa from Orowan strengthening. Quantitative strengthening modeling incorporating Orowan, grain boundary, dislocation, solid solution and back stress contributions predicts a yield strength of 880 MPa, consistent with experimental measurements. During plastic deformation, the low-defect and deformation zones within the heterogeneous structures facilitate dislocation storage, while the YWO/YWO@W NPs promote dislocation cross-slip. The non-coherent interface between YWO NPs and the matrix may induce dislocation slip along the {1 2 1}<1 1 1> system, which in turn enables multi-slip systems to operate simultaneously. Finally, the YWO@W sample exhibits tensile strength of 1214 MPa and elongation of 10.3%, representing increases of 45.6% and 145.2%, respectively, compared to Y2O3 sample. This work offers a novel strategy to overcome the strength-ductility trade-off in additively manufactured ODS alloys.

克服增材制造的9Cr氧化物弥散强化（ODS）合金的强度-延性权衡是结构材料设计中的一个重大挑战。在这项工作中，通过采用Y6WO12@W （YWO@W）纳米级核壳前驱体，多异质微结构被精心安排以克服强度-延性权衡。多非均相结构包括YWO@W/YWO纳米颗粒（NPs）、双峰晶粒、非均相缺陷和非均相变形区。W壳减轻了YWO NPs与熔融基质之间的密度失配，从而抑制了增材制造过程中YWO NPs的浮选。同时，W的部分溶出引发非同步马氏体相变，形成非均质缺陷区。非均质结构界面产生了大量几何上必需的位错，导致了357 MPa的背应力强化。均匀分散的~ 25 nm YWO/YWO@W NPs提供了123 MPa的Orowan强化。结合Orowan、晶界、位错、固溶和背应力贡献的定量强化模型预测屈服强度为880 MPa，与实验测量结果一致。在塑性变形过程中，非均质结构内的低缺陷区和变形区有利于位错的储存，而YWO/YWO@W NPs促进位错的交叉滑移。YWO NPs与基体之间的非相干界面可能导致沿{1 21 1}<1 11 1>体系的位错滑移，从而使多滑移体系同时运行。最后，YWO@W样品的抗拉强度为1214 MPa，伸长率为10.3%，分别比Y2O3样品提高了45.6%和145.2%。这项工作为克服增材制造ODS合金的强度-延性权衡提供了一种新的策略。

Thin-Walled Structures

Multi-Objective Design of Tetra-Chiral Re-Entrant Auxetic Metamaterials for Energy Absorption in Engineering Structures

Peng Dong, Peng Yi, Wan-qian Li, Hongxi Liu, Gui Li, Ying Gao, Yu Zheng, Jianchao Zhang

doi:10.1016/j.tws.2026.115159

工程结构吸能四手性可重入增塑型超材料的多目标设计

Modern urban infrastructure faces an escalating demand for advanced energy-absorbing systems capable of mitigating impacts and withstanding extreme events. This study presents a tetra-chiral re-entrant auxetic metamaterial (TREAM) optimized through a multi-objective surrogate modeling strategy, aiming to enhance impact resistance in critical engineering structures. The deformation behavior of TREAMs was characterized through quasi-static compression tests, and a validated finite element model was developed to generate datasets for optimization. Three optimization frameworks, including SEA-PCF-CLE, SEA-CLE, and SEA-PCF, were constructed to address different performance trade-offs. A separate Kriging surrogate model was constructed for each optimization scenario, reflecting a specific performance priority, and solved using NSGA-II to derive Pareto-optimal solutions. The optimized designs were rigorously validated through numerical and experimental comparisons, which collectively underscore the potential of TREAMs to serve as energy-efficient and adaptive structural elements for impact mitigation in buildings. This demonstration paves the way for enhancing the safety of the built environment under extreme loading conditions.

现代城市基础设施对能够减轻影响和抵御极端事件的先进吸能系统的需求不断增加。为了提高关键工程结构的抗冲击性能，采用多目标替代建模策略对TREAM材料进行了优化设计。通过准静态压缩试验对TREAMs的变形行为进行了表征，并建立了经过验证的有限元模型，生成数据集进行优化。构建了SEA-PCF- cle、SEA-CLE和SEA-PCF三个优化框架，以解决不同的性能权衡问题。为每个优化方案分别构建了Kriging代理模型，反映了特定的性能优先级，并使用NSGA-II求解得到pareto最优解。优化设计通过数值和实验比较进行了严格验证，这些结果共同强调了tream作为节能和适应性结构元件在建筑物中减轻冲击的潜力。该演示为增强极端负载条件下建筑环境的安全性铺平了道路。

Fluid-structure interaction and deformation behavior of a riveted liquid-filled tank with two simultaneous projectile impacts

Ruihao Guo, Kerong Ren, Zhuangqing Fan, Hua Qing, Jilong Xu, Xianfeng Zhang, Wentao Xu, Rong Chen, Xiangyu Li, Yong Peng, Fangyun Lu

doi:10.1016/j.tws.2026.115158

两个弹丸同时冲击下铆接充液罐流固耦合及变形行为

The penetration of a high-velocity projectile into a liquid-filled tank represents a classical engineering problem involving a complex process of fluid-structure interaction (FSI). In practice, the high-velocity penetration of multiple projectiles is more common. For instance, the hydrodynamic ram (HRAM) generated during the water entry of two projectiles differs significantly from that of a single projectile, resulting in unique FSI and structural deformation phenomena whose underlying mechanisms remain unclear. In this study, to clarify the response characteristics of a riveted liquid-filled tank subjected to two simultaneous projectile impacts, ballistic impact experiments and finite element simulations of the FSI were performed. The results indicated that the HRAM loads induced by the two simultaneous projectile impacts superimposed, forming a high-pressure spherical pulse concentrated ahead of the projectiles. As the impact velocity increased, the pressure loading on the back plate transitions from a continuous rise to a rise-fall trend. From the FSI perspective, the initial dynamic response of all measurement points on the back plate was driven directly by the HRAM load. The secondary acceleration near the penetration hole is induced by the HRAM, while that in regions farther away was governed by bending wave propagation. Additionally, the interfacial cavitation effect resulted in a wider incident wave pulse compared to the released wave in regions distant from the impact center. Two distinct deformation modes of the back plate were identified: a hexagonal petal hole and a large-area petal hole. In the large-area mode, radial plastic hinges underwent a cycle of formation, disappearance, and reformation. Finally, an empirical trend relationship between the total impulse and the projected hole area is proposed. The study demonstrated that under equivalent impulse levels, simultaneous dual-projectile impacts caused significantly larger perforations than single-projectile impacts.

高速弹丸侵彻充液罐是一个涉及复杂流固耦合过程的经典工程问题。在实际应用中，多弹高速侵彻更为常见。例如，两个弹丸入水时产生的水动力冲击（HRAM）与单个弹丸入水时产生的水动力冲击（HRAM）有很大不同，导致了独特的FSI和结构变形现象，其潜在机制尚不清楚。在本研究中，为了明确铆接充液罐在两种弹丸同时冲击下的响应特性，进行了弹道冲击实验和FSI有限元模拟。结果表明，两次弹丸同时撞击引起的HRAM载荷叠加，形成集中在弹丸前方的高压球形脉冲。随着冲击速度的增加，后板压力载荷由连续上升趋势转变为上升-下降趋势。从FSI的角度来看，后板上所有测点的初始动态响应直接受到HRAM载荷的驱动。穿透孔附近的二次加速度是由HRAM引起的，而更远的区域的二次加速度是由弯曲波传播控制的。此外，与远离撞击中心的区域的释放波相比，界面空化效应导致入射波脉冲更宽。确定了两种不同的后板变形模式：六角形花瓣孔和大面积花瓣孔。在大面积模式下，径向塑性铰经历了形成、消失和改造的循环过程。最后，提出了总冲量与投影孔面积之间的经验趋势关系。研究表明，在等效脉冲水平下，双弹同时撞击造成的穿孔明显大于单弹撞击造成的穿孔。

Static and seismic cyclic behavior of SHS-to-CHS and H-to-CHS X-joints

Bida Zhao, Chao Sun, Shenyi Zhou, Wenkai Wang, Wu Yingao, Weidong Ruan

doi:10.1016/j.tws.2026.115150

shs - chs和h - chs x节理的静力和地震循环行为

This paper studies the structural behavior of welded X-joints composed of square hollow section (SHS) braces connected to circular hollow section (CHS) chords (SHS-to-CHS) and those consisting of H-section braces to CHS chords (H-to-CHS). Here, the H-section braces are arranged transversally and longitudinally, i.e., the web of the H-section are perpendicular and parallel to the chord axis, respectively. Experimental and numerical studies are conducted to reveal the performance of these two types of X-joints under static and cyclic brace axial loading. It is found that the specimens under static loading fail due to plastic softening of the chord wall. The specimens under cyclic loading fail due to tearing of the chord wall after plastic development, but the post-tearing crack propagation paths vary across different joint types. The compressive strength of the X-joints under static loading approximates that under cyclic loading, yet the deformability and ductility ratio under static loading are larger. SHS-to-CHS X-joints and transversal H-to-CHS X-joints exhibit close strength and energy dissipation capacity, which are larger than those of longitudinal H-to-CHS X-joints. Reducing the chord radius-to-thickness ratio can improve the strength and ductility ratio of the SHS-to-CHS X-joints at the cost of energy dissipation capacity. The brace-chord angle (θ), when it is smaller than 90°, helps enhance the strength of the X-joints. The X-joints exhibit higher tensile strength than compressive strength. An equation for predicting the tension-to-compression strength ratio is developed and validated by experimental results and eighty-three finite element strength data.

本文研究了由方形空心截面（SHS）支撑与圆形空心截面（CHS）弦连接（SHS-to-CHS）和由h形截面支撑与CHS弦连接（H-to-CHS）的焊接x形节点的结构性能。在这里，h截面支撑沿横向和纵向布置，即h截面腹板分别垂直和平行于弦轴。通过试验和数值研究，揭示了这两种类型的x型节点在静载荷和循环支撑轴向载荷下的性能。结果表明，静力荷载作用下试件破坏主要是由于弦壁塑性软化造成的。循环荷载作用下试件塑性发育后由于弦壁撕裂而破坏，但不同节理类型试件的撕裂后裂纹扩展路径不同。x形节点在静荷载作用下的抗压强度与循环荷载作用下的抗压强度相近，但静荷载作用下的变形能力和延性比更大。sh -to- chs x型节理和横向H-to-CHS x型节理的强度和耗能能力相近，且大于纵向H-to-CHS x型节理。减小弦径厚比可以提高shs - chs节点的强度和延性比，但代价是耗能能力的降低。当弦撑角（θ）小于90°时，有利于增强x节点的强度。x形节理的抗拉强度高于抗压强度。通过试验结果和83个有限元强度数据验证了该模型的拉压强度比预测公式。

A novel three-dimensional weak-form quadrature rigid-frame element and its application in transmission tower an alysis

Kai Wang, Chuang Feng, Teng Yong Ng, Ding Zhou

doi:10.1016/j.tws.2026.115147

一种新型的三维弱形式正交刚架单元及其在输电塔分析中的应用

A novel three-dimensional weak-form quadrature rigid-frame element (WQRE) has been developed based on Timoshenko beam theory. The proposed method enables the discretization of complex structures into a small number of large-scale elements. Differentiation is performed using Chebyshev-Lobatto quadrature, while integration is carried out using Gauss-Lobatto quadrature, both utilizing the same set of integration points, including the endpoints of each element. The symmetric positive definite stiffness matrix and diagonal mass matrix are derived at the element level through a mixed variational principle. The unknown variables at interior integration points are expressed in terms of those at the endpoints using the principle of static equivalence, which significantly reduces the size of the global mass and stiffness matrices without compromising accuracy. External loads applied to the element are transformed into generalized forces acting at the endpoints. The assembly procedure closely follows that of the finite element method, facilitating straightforward implementation. As a case study, the proposed method is employed to an alyze the static and dynamic responses of a long-span transmission tower.

基于Timoshenko梁理论，提出了一种新型的三维弱形式正交刚架单元。该方法能够将复杂结构离散为少量的大尺度单元。微分使用chebyhev - lobatto正交进行，而积分使用Gauss-Lobatto正交进行，两者都使用相同的积分点集，包括每个元素的端点。利用混合变分原理，在单元水平上推导出对称正定刚度矩阵和对角质量矩阵。内部积分点处的未知变量使用静态等效原理表示为端点处的未知变量，这在不影响精度的情况下显著减小了全局质量和刚度矩阵的大小。施加在元件上的外部载荷被转化为作用于端点的广义力。装配程序严格遵循有限元法，便于直接实施。并以某大跨度输电塔为例，对其静动力响应进行了分析。

Topology-guided multidimensional mechanics-transport-bioactivity mapping and physiological matching of porous bone scaffolds

Xiaoshuai Yang, Xinyao Yang, Ziwen Guo, Qingxia Li, Changwen Mi, Zhongwei Sun

doi:10.1016/j.tws.2026.115118

多孔骨支架的拓扑导向多维力学-运输-生物活性定位与生理匹配

The design of porous bone scaffolds involves balancing the competing demands of mechanical stability and biological functionality. Sufficient stiffness is essential for providing immediate load-bearing capacity after implantation, while long-term bone regeneration requires adequate permeability and flow-induced mechanobiological stimulation. This study systematically assesses the multidimensional performance of 46 representative scaffold architectures, including truss lattices, triply periodic minimal surface (TPMS) structures, and stochastic architectures, within a biologically relevant porosity range of 60% to 80%. Through finite element simulations coupled with Gibson–Ashby scaling a nalysis, we show that continuous sheet-based topologies exhibit stretching-dominated deformation, significantly enhancing structural efficiency compared to bending-dominated strut and skeletal lattices. Further, three-dimensional elastic tensor an alysis reveals substantial spatial anisotropy and off-axis shear vulnerabilities in highly directional lattice systems, whereas continuous sheet and stochastic architectures maintain near-isotropic stiffness distributions and better multiaxial load resistance. Hydrodynamic simulations uncover a critical transport-stimulation trade-off. While orthogonally open lattices maximize intrinsic permeability, their streamlined flow channels generate weak wall shear stress, potentially leading to hydrodynamically under-stimulated regions. In contrast, the bicontinuous curvature of sheet-based architectures modulates local flow patterns, increasing specific surface area and enhancing mechanobiological stimulation. By integrating mechanical, transport, and spatial characteristics, we establish a physiologically motivated tripartite performance map, classifying scaffold architectures into load-bearing prioritized, transport-prioritized, and biomimetic balanced regimes. More importantly, a physiological matching index is introduced to quantitatively assess scaffold suitability for various clinical scenarios. This multidimensional design framework provides a topology-guided foundation for the development of next-generation orthopedic implants tailored to specific physiological needs.

多孔骨支架的设计涉及平衡机械稳定性和生物功能的竞争需求。足够的刚度对于提供植入后的即时承载能力至关重要，而长期的骨再生需要足够的渗透性和血流诱导的机械生物学刺 激。本研究系统地评估了46种具有代表性的支架结构的多维性能，包括桁架晶格、三周期最小表面（TPMS）结构和随机结构，其生物学相关孔隙度范围为60%至80%。通过有限元模拟和Gibson-Ashby尺度分析，我们发现基于连续薄片的拓扑结构表现出拉伸主导的变形，与弯曲主导的支柱和骨架晶格相比，显著提高了结构效率。此外，三维弹性张量分析显示，在高度定向的晶格系统中，存在大量的空间各向异性和离轴剪切脆弱性，而连续片状结构和随机结构保持近各向同性的刚度分布，并具有更好的多轴抗载荷能力。流体动力学模拟揭示了一个关键的运输-刺 激权衡。虽然正交开放的晶格最大限度地提高了固有渗透率，但其流线型流道产生的壁面剪切应力较弱，可能导致流体动力学欠刺 激区域。相比之下，基于薄片结构的双连续曲率调节了局部流动模式，增加了比表面积并增强了机械生物学刺 激。通过整合机械、运输和空间特征，我们建立了一个生理驱动的三方性能图，将支架结构分为承重优先、运输优先和仿生平衡体系。更重要的是，引入了生理匹配指标来定量评估支架在各种临床情况下的适用性。这种多维设计框架为下一代骨科植入物的开发提供了拓扑导向的基础，以满足特定的生理需求。