【新文速递】2025年2月10日固体力学SCI期刊最新文章

 

今日更新：International Journal of Solids and Structures 2 篇，Journal of the Mechanics and Physics of Solids 2 篇，Mechanics of Materials 1 篇，International Journal of Plasticity 1 篇，Thin-Walled Structures 9 篇

International Journal of Solids and Structures

A dimensionless study of Functionally Graded Material membranes wrinkling using the Asymptotic Numerical Method

Siham Khalil, Oussama Elmhaia, Abdellah Hamdaoui, Bouazza Braikat, Heng Hu, Adnane Boukamel, Noureddine Damil

doi:10.1016/j.ijsolstr.2025.113259

基于渐近数值方法的功能梯度材料膜起皱无量纲研究

In this work, by making dimensionless the equations of the variational problem governing the wrinkling of Functionally Graded Material (FGM) membranes under tension, we highlight five dimensionless parameters that control the appearance and disappearance of wrinkles. These parameters are related to the aspect ratios, the properties of the FGM membrane, and the applied loading. The other two parameters are related to the properties of the FGM membrane which represent the ratio between the Young’s moduli of the upper and lower surfaces of the FGM membrane, and p describes the variation of Young’s modulus across the thickness of the FGM membrane. The fifth parameter is related to the imposed loading and the geometric and material characteristics of the membrane. For this purpose, we will use the full expression for thin-membrane deformation without approximating membrane effects, employing an extended Föppl von Kármán (eFvK) model. The nonlinear equations will be solved numerically using the Asymptotic Numerical Method (ANM). Several numerical simulations are presented to study the effects of these dimensionless parameters on the appearance and disappearance of wrinkles.

在这项工作中，通过使控制功能梯度材料（FGM）膜在张力下起皱的变分问题的方程无因次化，我们突出了控制起皱出现和消失的五个无因次参数。这些参数与长径比、FGM膜的性能和施加的载荷有关。另外两个参数与女性生殖器切割膜的性能有关，表示女性生殖器切割膜上下表面的杨氏模量与的比值 p 描述了杨氏模量在FGM膜厚度上的变化。第五个参数与施加的载荷以及膜的几何和材料特性有关。为此，我们将使用不近似膜效应的薄膜变形的完整表达式，采用扩展的Föppl von Kármán （eFvK）模型。采用渐近数值方法（ANM）对非线性方程进行数值求解。通过数值模拟研究了这些无量纲参数对褶皱产生和消失的影响。

Dislocation dipoles in a square hollow prismatic nanowire embedded in an infinite-size matrix

Jérôme Colin

doi:10.1016/j.ijsolstr.2025.113258

嵌在无限大矩阵中的方形空心棱柱纳米线中的位错偶极子

The introduction of dipoles of edge dislocations symmetrically displayed with respect to the center of a composite structure made of a square hollow prismatic nanowire embedded in an infinite-size matrix has been theoretical investigated when misfit strain is present in both phases. When the dipole is composed of dislocations of Burgers vectors such that the misfit strain cannot be screened by the dislocations lying into the interfaces, the gliding and climbing components of the Peach–Koehler force applied on the dislocations have been calculated and the unstable equilibrium positions of the dipole have been determined versus the misfit strain and nanowire geometric parameters. When the Burgers vectors are such that the misfit strain can be released when the dislocations have reached the interfaces, the formation of the dipole from the matrix center to the inner matrix-nanowire interfaces has been analyzed from an energy variation calculation. A critical size of the nanowire for which the dislocation formation in the inner interfaces is favorable at a stable position has been finally determined versus the misfit parameter.

本文从理论上研究了当两相均存在失配应变时，边缘位错的偶极子的引入与嵌套在无限大矩阵中的方形空心棱柱纳米线构成的复合结构的中心对称显示。当偶极子由Burgers向量位错组成，使得失配应变不能被位于界面中的位错所屏蔽时，计算了施加在位错上的Peach-Koehler力的滑动和爬升分量，并根据失配应变和纳米线几何参数确定了偶极子的不稳定平衡位置。当Burgers矢量使得错配应变在位错到达界面时可以释放时，通过能量变分计算分析了偶极子从基体中心到内部基体-纳米线界面的形成。最后根据失配参数确定了在稳定位置有利于内界面位错形成的纳米线的临界尺寸。

Journal of the Mechanics and Physics of Solids

A unified anisotropic phase field model for progressive failure of fiber-reinforced composite materials

Yuanfeng Yu, Chi Hou, Meiying Zhao

doi:10.1016/j.jmps.2025.106063

纤维增强复合材料渐进破坏的统一各向异性相场模型

Fiber-reinforced composite materials have gained considerable traction in various applications due to their exceptional properties, but the multicomponent nature makes their failure modes more complex, so the research of failure mechanism for composites is very important for the safety of the structure in use. In this work, a new unified anisotropic phase field model is proposed. Firstly, a new crack surface density function is developed, drawing on the characteristics of both double and single phase field models, as well as the fracture behavior of composites. This new function retains the advantages of the previous models. Meanwhile, to more accurately portray failure behavior in matrix-dominated fractures, a new mixed-mode damage evolution driving force is presented. In addition, the analytical solution of the model is derived, and the relationships between the model parameters and stress and strain, together with crack bandwidth, are established. Furthermore, 2D and 3D Hashin failure criteria are derived from the phase field model, and the damage initiation criterion and evolution law of the model are constructed. Finally, the new model is validated by some examples, and the influences of the model parameters on the load-displacement response and the crack pattern are analyzed. The simulation results align well with the experimental findings, theoretical analyses, and reference numerical results, demonstrating the validity and accuracy of the presented model.

纤维增强复合材料以其优异的性能得到了广泛的应用，但复合材料的多组分特性使其失效模式更为复杂，因此研究复合材料的失效机理对结构的安全使用具有重要意义。本文提出了一种新的统一的各向异性相场模型。首先，结合双相场模型和单相场模型的特点以及复合材料的断裂行为，建立了新的裂纹表面密度函数；这个新功能保留了以前型号的优点。同时，为了更准确地描述基质主导断裂的破坏行为，提出了一种新的混合模式损伤演化驱动力。推导了模型的解析解，建立了模型参数与应力应变及裂纹带宽的关系。在此基础上，推导了相场模型的二维和三维哈辛破坏准则，构建了模型的损伤起裂准则和演化规律。最后通过算例对新模型进行了验证，并分析了模型参数对荷载-位移响应和裂缝形态的影响。仿真结果与实验结果、理论分析和参考数值结果吻合良好，验证了模型的有效性和准确性。

Grid hollow octet truss lattices that are stable at low relative density

Peijie Zhang, Xueyan Chen, Penghui Yu, Kun Zhao, Haoxiang Ma, Shiqiu Liu, Huifeng Tan, Vincent Laude, Muamer Kadic

doi:10.1016/j.jmps.2025.106068

在低相对密度下稳定的网格空心八棱桁架

Stretching-dominated lattice materials are renowned for their lightweight nature and exceptional mechanical properties. These materials, however, have historically struggled with scalability towards low relative densities at which they often exhibit unstable oscillation behavior. Here, we propose a viable solution to this issue by integrating hollow truss elements and a grid distribution into the conventional octet truss lattice. The proposed grid hollow octet truss lattices demonstrate significant improvement over the conventional octet truss lattice, with stiffness and specific energy absorption capacities respectively 25.8% and 98% larger. To quantitatively assess the stability of low relative density metamaterials, three metrics are proposed and validated. The effect on the mechanical properties of the octet lattice of the ratio of inner to outer radius and of the grid number are comprehensively investigated numerically. Numerical simulations indicate that larger geometrical parameters and grid numbers significantly enhance the stability of the octet lattice. Consequently, the proposed lattices exhibit comparable energy absorption capacity as smooth shell lattices at equivalent relative density but demonstrate a more stable nonlinear response, maintaining nearly constant stress levels at a relative density of 0.1. Experimental validation supports these findings, highlighting potential for applications to load bearing and energy absorption.

以拉伸为主的晶格材料以其轻量化和卓越的机械性能而闻名。然而，这些材料在历史上一直与低相对密度的可扩展性作斗争，因为它们经常表现出不稳定的振荡行为。在这里，我们提出了一个可行的解决方案，将空心桁架单元和网格分布集成到传统的八元桁架晶格中。本文提出的网格空心八边形桁架结构与传统八边形桁架结构相比，刚度和比能吸收能力分别提高了25.8%和98%。为了定量评价低相对密度超材料的稳定性，提出并验证了三个指标。数值研究了内外半径比和网格数对八元晶格力学性能的影响。数值模拟表明，较大的几何参数和栅格数可显著提高八元晶格的稳定性。因此，所提出的晶格在同等相对密度下表现出与光滑壳晶格相当的能量吸收能力，但表现出更稳定的非线性响应，在相对密度为0.1时保持近乎恒定的应力水平。实验验证支持这些发现，突出了在承载和能量吸收方面的应用潜力。

Mechanics of Materials

Modelling and finite element simulation of martensite and bainite phase transformations during quenching under consideration of carbon repartitioning

Tim Furlan, Markus Schewe, Philipp Scherm, Philipp Retzl, Ernst Kozeschnik, Andreas Menzel

doi:10.1016/j.mechmat.2025.105275

考虑碳重分配的淬火马氏体和贝氏体相变的建模和有限元模拟

Control of the microstructure of steel components during their processing is a crucial factor for reaching desired product properties. Realistic simulations of the microstructure evolution during processing can facilitate the improvement of existing processes as well as the design of new ones by reducing the need for time- and cost-intensive experimental investigations. This work focuses on the modelling and advanced simulation of quenching of components made of the high-carbon bearing steels 100Cr6 and 100CrMnSi6-4, during which transformations from austenite to martensite and bainite are considered. Special attention is given to the carbon-enrichment of the austenite phase during the formation of carbide-free bainite, since the change in carbon content also changes the martensite start temperature. A novel model based on the widely used Koistinen–Marburger and Johnson–Mehl–Avrami–Kolgomorov models is proposed, which explicitly takes into account the carbon contents of the remaining austenite and its influence on the kinetics of both transformations. The proposed model is implemented as a user material for the commercial finite element software Abaqus. Our source code and calibration data are available at https://github.com/InstituteOfMechanics.

钢构件在加工过程中的组织控制是达到预期产品性能的关键因素。加工过程中微观结构演变的真实模拟可以通过减少对时间和成本密集的实验研究的需要，促进现有工艺的改进以及新工艺的设计。本文重点研究了高碳轴承钢100Cr6和100CrMnSi6-4部件淬火过程的建模和高级模拟，考虑了从奥氏体到马氏体和贝氏体的转变。由于碳含量的变化也改变了马氏体的起始温度，因此在无碳化物贝氏体形成过程中，奥氏体相的碳富集得到了特别的关注。在广泛使用的Koistinen-Marburger和Johnson-Mehl-Avrami-Kolgomorov模型的基础上，提出了一个新的模型，该模型明确考虑了残余奥氏体的碳含量及其对两种转变动力学的影响。该模型作为商业有限元软件Abaqus的用户材料实现。我们的源代码和校准数据可在https://github.com/InstituteOfMechanics。

International Journal of Plasticity

Mitigating embrittlement of sigma phase in dual-phase high-entropy alloys through heterostructure design

Sihao Zou, Chunyu Dong, Xiaodong Tan, Zhiyuan Liang, Weizong Bao, Binbin He, Wenjun Lu

doi:10.1016/j.ijplas.2025.104272

通过异质组织设计减轻双相高熵合金中σ相的脆化

The design of dual-phase high-entropy alloys (HEAs) often involves extensive alloying, which can lead to the formation of topologically close-packed (TCP) phases, significantly reducing tensile ductility. Balancing the high hardness of TCP phases while minimizing their embrittling effects is crucial for developing high-performance HEAs. This study, which focuses on the brittle sigma phase, proposes an innovative heterogeneous structural coupling design strategy that simultaneously enhances the strengthening effect of the sigma phase while minimizing its embrittlement role. A (FeCoCrNi)90Al10 HEA with sigma phase is employed as the model material, where a bimodal grain heterogeneous structure is achieved through a short-term high-temperature annealing process at 850 °C for 5 min. A small amount of sigma phase precipitates (∼0.8 vol.%) in the recrystallization (RX) region, modulating the hardness difference between the RX and non-recrystallized (NRX) regions. This induces significant heterogeneous deformation-induced (HDI) stress, while promoting coordinated deformation between regions, thereby triggering continuous work hardening and plastic deformation. As a result, the HEA exhibits an exceptional combination of high strength (1412 MPa) and ductility (14.9%). The underlying deformation mechanism involves strain hardening driven by HDI stress, which strengthens the RX region and minimizes local strain mismatch between the sigma phase and the FCC matrix, suppressing the nucleation and propagation of interfacial cracks. The present approach presents a promising pathway for co-designing strength and ductility in metallic materials susceptible to TCP phase formation.

双相高熵合金（HEAs）的设计通常涉及广泛的合金化，这可能导致拓扑紧密堆积（TCP）相的形成，从而显着降低拉伸延展性。平衡TCP相的高硬度，同时尽量减少其脆化效应是开发高性能HEAs的关键。本研究以脆性σ相为研究对象，提出了一种创新的非均质结构耦合设计策略，在增强σ相强化效果的同时将其脆性作用降到最低。采用具有sigma相的A (feccrni)90Al10 HEA作为模型材料，通过850℃5 min的短期高温退火工艺获得双峰相晶粒非均相结构。少量sigma相在再结晶（RX）区析出（~ 0.8 vol.%），调节了RX和非再结晶（NRX）区的硬度差异。这引起了显著的非均质变形诱导（HDI）应力，同时促进了区域之间的协调变形，从而引发了连续的加工硬化和塑性变形。因此，HEA表现出高强度（1412 MPa）和延性（14.9%）的优异组合。潜在的变形机制是HDI应力驱动下的应变硬化，强化了RX区域，使sigma相与FCC基体之间的局部应变失配最小化，抑制了界面裂纹的形核和扩展。本方法为易受TCP相形成影响的金属材料的强度和延展性共同设计提供了一条有前途的途径。

Thin-Walled Structures

Investigations on buckling behavior of asymmetric L-shaped box-T section columns under eccentric compression

Gang Shi, Chenhao Liu, Ziqian Zhang, Le Zhou, Huatian Zhao

doi:10.1016/j.tws.2025.113047

非对称l形箱形t截面柱偏心受压屈曲行为研究

In recent years, an L-shaped box-T-section column comprising one cold-formed box section and multiple T-shaped sections was developed to avoid indoor column protrusion and enhance space efficiency. This study investigated the buckling behavior of asymmetric L-shaped box-T section columns (AL-BTSCs) against eccentric compression through experimental studies, numerical simulations, and parametric analyses. Thirteen full-scale AL-BTSC specimens were designed and tested under eccentric compression loading, and their failure modes, buckling resistances, and load–displacement curves were analyzed. Finite element (FE) models were developed and validated against the test results. Parametric analyses of 1,416 FE models were conducted considering various section sizes, eccentricities, and slenderness ratios. An elastic lateral buckling formula for AL-BTSCs was derived. Based on the above results, the current design methods were assessed, and modified design curves were proposed for AL-BTSCs based on Eurocode and Chinese code. Systematic studies, from experiments to simulations, and the proposed design methods will facilitate safe and reliable applications of AL-BTSCs in engineering construction, providing an alternative option for build-up columns in steel structures.

近年来，为了避免室内柱突出，提高空间效率，设计了一种由一个冷弯箱形截面和多个t形截面组成的l形箱形t形截面柱。本研究通过实验研究、数值模拟和参数分析研究了非对称l形箱形t截面柱（AL-BTSCs）在偏心压缩下的屈曲行为。设计了13个全尺寸AL-BTSC试件，进行了偏心压缩加载试验，分析了试件的破坏模式、屈曲抗力和载荷-位移曲线。建立了有限元模型，并根据试验结果进行了验证。对1416个有限元模型进行了参数分析，考虑了不同的截面尺寸、偏心率和长细比。推导了al - btsc的弹性侧向屈曲公式。在此基础上，对现有的设计方法进行了评价，并提出了基于欧洲规范和中国规范的al - btsc的改进设计曲线。从实验到模拟的系统研究以及提出的设计方法将促进AL-BTSCs在工程建设中的安全可靠应用，为钢结构中构建柱提供另一种选择。

Local Buckling Behavior in High-Strength Steel Beams: A Concentrated Plasticity Approach

Abdullah Alghossoon, Duaa Omoush, Amit Varma

doi:10.1016/j.tws.2025.113055

高强度钢梁的局部屈曲行为：集中塑性方法

This paper introduces the first model designed to simulate local buckling in high-strength steel (HS-S) beams within moment-resisting frame systems (MRFs), especially under seismic loading conditions. Existing code limitations on section slenderness are derived from research on conventional steel, overlooking the special stress-strain characteristics of HS-S. To address this, a 3D finite element (FE) model developed in ABAQUS, calibrated with experimental data, investigates the moment-rotation hysteretic behavior of HS-S beams. Building on this, a new concentrated plasticity-based model (CPM) is proposed using an idealized tri-linear moment-rotation curve with three anchor points representing yielding, post-yield, and residual strength stages. Gene Expression Programming (GEP), a state-of-the-art AI tool, refines and formulates the mechanism of these anchor points, achieving prediction accuracies of 95% for peak strength, 98% for initial stiffness, and 90% for dissipated energy. The partially mechanical-based CPM is implemented in SAP2000, offering engineers an accessible tool for analyzing HS-S beams with improved simulation accuracy. This model significantly enhances the prediction of local buckling, addresses the limitations of current design codes, and provides valuable insights for both new designs and the assessment of existing structures.

本文介绍了第一个用于模拟高强度钢（HS-S）梁在抗弯矩框架体系（MRFs）中的局部屈曲的模型，特别是在地震荷载条件下。现有规范对截面长细比的限制来源于对常规钢的研究，忽略了HS-S特殊的应力-应变特性。为了解决这个问题，在ABAQUS中开发了一个三维有限元（FE）模型，并使用实验数据进行校准，研究了HS-S梁的矩转迟滞行为。在此基础上，提出了一种新的基于集中塑性的模型（CPM），该模型使用理想的三线性矩-旋转曲线，其中三个锚点代表屈服、屈服后和剩余强度阶段。基因表达编程（GEP）是一种最先进的人工智能工具，可以完善和制定这些锚点的机制，实现峰值强度预测精度为95%，初始刚度预测精度为98%，耗散能量预测精度为90%。部分基于机械的CPM在SAP2000中实现，为工程师提供了一个易于访问的工具，用于分析HS-S梁，并提高了仿真精度。该模型显著增强了局部屈曲的预测，解决了当前设计规范的局限性，并为新设计和现有结构的评估提供了有价值的见解。

Material properties of wire arc additively manufactured austenitic stainless steels after exposure to elevated temperatures

Zhichao Gong, Hai-Ting Li, Wei Chen, Ou Zhao, Man-Tai Chen

doi:10.1016/j.tws.2025.113061

焊丝电弧增材制造的奥氏体不锈钢在高温下的材料性能

This experimental study tends to investigate the residual material properties of wire arc additively manufactured austenitic stainless steels after exposure to elevated temperatures. The austenitic stainless steel specimens were fabricated using ER304, ER308L, ER316L feedstock wires through wire arc additive manufacturing (WAAM) with cold metal transfer technology. A total of 42 WAAM austenitic stainless steel dog-bone shaped tensile specimens were meticulously designed, considering three test orientations against the printing direction (θ = 0°, 45° and 90°), five exposure temperatures (ψ = 400°C, 550°C, 700°C, 850°C and 1000°C) and two cooling methods (cooling-in-chamber and cooling-in-water). The microstructure characteristics of typical WAAM austenitic stainless steel specimens after exposure to elevated temperatures were analyzed via electron backscatter diffraction (EBSD). The full range stress-strain curves and the key mechanical properties of WAAM austenitic stainless steel specimens after exposure to elevated temperatures were obtained from monotonic tensile tests. The anisotropic material behavior related to the test orientation was investigated and the influence of cooling method on residual material properties is discussed herein. Moreover, the relationship between material properties and microstructure characteristics was investigated. Based on the in-depth analyses upon the test results, prediction equations for the residual material properties including Young's modulus, yield stress, yield strain, ultimate strength, ultimate strain and fracture strain were developed. The proposed prediction equations are suitable for the WAAM austenitic stainless steels after exposure to elevated temperatures up to 1000°C.

本实验旨在研究电弧增材制造的奥氏体不锈钢在高温下的残余材料性能。以ER304、ER308L、ER316L为原料，采用线弧增材制造和冷金属转移技术制备了奥氏体不锈钢试样。设计了42个WAAM奥氏体不锈钢狗骨形拉伸试样，考虑了3种与打印方向相反的测试方向（θ = 0°、45°和90°）、5种暴露温度（ψ = 400°C、550°C、700°C、850°C和1000°C）和2种冷却方式（室内冷却和水中冷却）。利用电子背散射衍射（EBSD）分析了典型WAAM奥氏体不锈钢试样在高温下的显微组织特征。通过单调拉伸试验，获得了高温作用下WAAM奥氏体不锈钢试样的全范围应力应变曲线和关键力学性能。研究了与试验取向相关的材料各向异性行为，并讨论了冷却方式对残余材料性能的影响。此外，还研究了材料性能与微观结构特征之间的关系。在对试验结果进行深入分析的基础上，建立了残余材料杨氏模量、屈服应力、屈服应变、极限强度、极限应变和断裂应变的预测方程。所提出的预测方程适用于高达1000℃高温下的WAAM奥氏体不锈钢。

Effect of web openings on the patch-loading resistance of QN 1803 high-strength stainless steel plate girders

Youtian Wang, Boshan Chen, Jia Wang, Lisheng Luo, Beibei Li, Quanxi Ye, Letian Hai

doi:10.1016/j.tws.2025.113065

腹板开口对qn1803高强不锈钢板梁抗拼装承载力的影响

QN1803, a newly developed high-strength stainless steel, offers a tensile yield strength approximately 40% higher than the commonly used EN1.4301 while reducing costs by 20% due to its lower nickel content. This material shows significant promise for use in plate girders with web openings, which are prone to patch loading buckling caused by moving loads. Despite its potential, research on the patch loading performance of such girders is limited. To address this gap, a comprehensive experimental program was undertaken, including 14 patch loading tests. The program examined three different hole size ratios: 0.2, 0.4, and 0.6. Initial geometric imperfections were measured prior to the tests, and a numerical modelling approach was developed and validated using the experimental data. A parametric study comprising 72 FE models was also conducted to investigate the effect of key variables on the ultimate strength, the patch loading length ratio, web aspect ratio, web slenderness, and hole size ratio were investigated. The test results revealed that for specimens with a hole size ratio of 0.6, the presence of web openings reduced the ultimate strength by 11.5% compared to girders with solid webs. To evaluate the accuracy of existing design specifications, the test and numerical results were used to assess design methods outlined in the Chinese code (GB 50017, 2017), the European code (EN 1993-1-5, 2006), and the American Specification (ANSI/AISC 360-22, 2022), despite these codes being primarily developed for girders with solid webs. The analysis concluded that current design specifications, with the exception of ANSI/AISC 360-22 (2022), are inadequate for accurately predicting the reduced patch loading resistance of QN1803 I-shaped girders with web openings.

QN1803是一种新开发的高强度不锈钢，其抗拉屈服强度比常用的EN1.4301高约40%，同时由于其镍含量较低，成本降低了20%。这种材料在具有腹板开口的板梁中显示出重要的前景，这种板梁容易受到移动载荷引起的局部加载屈曲。尽管具有潜力，但对这种梁的块加载性能的研究有限。为了弥补这一差距，开展了一项全面的实验方案，包括14次贴片加载试验。该程序测试了三种不同的井眼尺寸比：0.2、0.4和0.6。在测试之前测量了初始几何缺陷，并开发了一种数值建模方法，并使用实验数据进行了验证。通过对72个有限元模型的参数化研究，探讨了各关键变量对极限强度的影响，包括补片加载长度比、腹板宽高比、腹板长细比和孔洞尺寸比。试验结果表明，孔洞比为0.6时，腹板开口的存在使梁的极限强度比实心腹板梁降低了11.5%。为了评估现有设计规范的准确性，试验和数值结果被用于评估中国规范（GB 50017, 2017）、欧洲规范（EN 1993-1- 5,2006）和美国规范（ANSI/AISC 360- 22,2022）中概述的设计方法，尽管这些规范主要是为实心腹板梁开发的。分析认为，除ANSI/AISC 360-22（2022）外，目前的设计规范不足以准确预测QN1803带腹板开口的i型梁的块加载阻力降低情况。

The nonlinear vibration analysis-based an enhanced finite element procedure of multi-functionally graded sandwich plates

Trung Thanh Tran, Van Chinh Nguyen, Ashraf M. Zenkour, Quoc Hoa Pham

doi:10.1016/j.tws.2025.113042

基于改进有限元程序的多功能梯度夹层板非线性振动分析

The paper focuses on the analysis of nonlinear vibrations of multi-functionally graded sandwich (m-FGSW) plates by developing a finite element procedure based on an improved FSDT (i-FSDT), co-called an enhanced FEM. The m-FGSW plates consist of a 2D-FGM core layer and two 3D-FGM skin layers. The geometrical nonlinearity resulting from mid-plane stretching is modelled based on the von Kármán assumption. The governing equation is derived using Hamilton's principle. The accuracy and efficiency of the proposed method are validated by comparing them with results from existing approaches. Then, a series of numerical examples are conducted to illustrate the influence of geometric dimensions, material properties, and BCs on the nonlinear vibration of m-FGSW plates. The numerical findings are anticipated to support future design and manufacturing processes that address the nonlinear response of m-FGSW plates in practice.

本文通过开发一种基于改进FSDT （i-FSDT）的有限元程序（也称为增强有限元法），对多功能梯度夹层板（m-FGSW）的非线性振动进行了分析。m-FGSW板由一个2D-FGM核心层和两个3D-FGM皮肤层组成。基于von Kármán假设对平面中拉伸引起的几何非线性进行了建模。控制方程是用汉密尔顿原理推导出来的。通过与已有方法的结果比较，验证了所提方法的准确性和有效性。然后，通过一系列数值算例说明了几何尺寸、材料性能和BCs对m-FGSW板非线性振动的影响。数值研究结果预计将支持未来的设计和制造过程，以解决m-FGSW板在实践中的非线性响应。

Passive thermal driving mechanics of a bistable composite tape-spring

Yulin Peng, Juncheng Zhu, Bing Wang, Chenglong Guan, Jianfeng Zhong, Shuncong Zhong

doi:10.1016/j.tws.2025.113057

双稳态复合带式弹簧的被动热驱动力学

A bistable composite tape-spring (CTS) structure is a thin-walled open slit tube with fibres oriented at ±45°, which is stable at both the extended and fully coiled configurations. Owning to its positive Gaussian curvature deformation mechanics and high stowage-to-pack ratio, it has been successfully applied and launched to International Space Station and microsatellites to construct deployable solar sails. Intelligent driving designs of the CTS-based deployable structures are becoming more and more important to further reduce weight and complexities for space applications. Here, we presented novel findings on the passive thermal driving mechanics of the bistable CTS structure. This is achieved by exploring the thermal energy-induced microstructural expansion and contraction, which would change the structural curvature, and thus regulating the strain energy within the CTS. An analytical model on the strain energy evolution under thermal effects was established to predict the minimum stable shape transition paths, as well as to determine the critical boundary conditions for thermal driving. Both experiments and finite element model were then carried out to reveal underlying mechanisms. It is found that a CTS is able to be passively deployed under thermal energy, there is a minimum energy constraint to initiate the shape morphing process, and the critical boundaries are dependent on the thermal expansion of the structural material. These findings provide a novel low cost, simple and reversed smart morphing design principle of the CTS structure, enriching the theoretical analysis and deployable control of the bistable composites to benefit future deep space explorations.

双稳态复合磁带弹簧（CTS）结构是一种薄壁开缝管，纤维取向为±45°，在伸展和完全卷曲状态下都很稳定。由于其正高斯曲率变形力学和高积包比，已成功应用并发射到国际空间站和微型卫星上，用于构造可展开太阳帆。基于cts的可展开结构的智能驾驶设计对于进一步减轻空间应用的重量和复杂性变得越来越重要。本文提出了双稳态CTS结构的被动热驱动机制的新发现。这是通过探索热能引起的微观结构膨胀和收缩，从而改变结构曲率，从而调节CTS内部的应变能来实现的。建立了热效应下应变能演化的解析模型，预测了最小稳定形状转变路径，确定了热驱动的临界边界条件。然后进行实验和有限元模型来揭示潜在的机制。研究发现，CTS能够被动地在热能作用下展开，具有启动形状变形过程的最小能量约束，其临界边界依赖于结构材料的热膨胀。这些发现为CTS结构提供了一种新颖的低成本、简单和反向的智能变形设计原理，丰富了双稳态复合材料的理论分析和可展开控制，为未来的深空探测提供了参考。

Bio-inspired vertex-offset lattice metamaterials with enhanced stress stability and energy absorption

Peng Wang, Junze Guo, Yihao Yuan, Chunmei Li, Yuan Wang, Mingjian Guang, Jinlong Yan, Wei Liu, Zhengping Sun

doi:10.1016/j.tws.2025.113060

具有增强应力稳定性和能量吸收的仿生顶点偏移晶格超材料

In lattice metamaterial design, overcoming stress drops and fluctuations caused by localized deformation failures, and resolving the inherent trade-off between high stress and structural stability, have remained critical challenges. Herein, unlike previous studies focused on the bionic design of double diagonal support in deep-sea glass sponge skeletons, this paper emphasizes the unique vertex-offset connection method found in these structures. We propose a novel transitional configuration that shifts from the traditional face-centered cubic (FCC) lattice to a body-centered cubic (BCC) lattice, termed the Vertex-Offset Face-Centered-Cubic (VOFCC) lattice. Lattice samples were fabricated via Selective Laser Melting (SLM) additive manufacturing, and their mechanical properties were evaluated using quasi-static compression tests. Results indicate that the novel bioinspired vertex-offset design effectively redistributes stress pathways, mitigates node stress concentrations, and suppresses the formation and propagation of localized shear bands, thereby preventing stress instability due to localized deformation failures. Furthermore, the vertex-offset connection method changes the load-bearing behavior of in-plane lateral struts aligned with the vertical load direction in traditional lattices, converting compressive forces into lateral tensile forces. This design also allows for the formation of additional plastic hinges along the offset diagonal struts, enabling greater energy dissipation and significantly enhancing the stress capacity. Compared to conventional FCC and BCC lattices, the proposed VOFCC lattice balances the performance benefits of both bending-dominated and stretching-dominated structures, achieving an overall improvement in both load-bearing and energy absorption properties. The bioinspired vertex-offset design strategy offers critical theoretical insights and practical guidance for the design and optimization of high-performance lattice metamaterials

在晶格超材料设计中，克服由局部变形破坏引起的应力下降和波动，解决高应力和结构稳定性之间的内在权衡，仍然是关键的挑战。本文不同于以往研究深海玻璃海绵骨架双对角支撑的仿生设计，强调了这些结构中独特的顶点偏移连接方法。我们提出了一种新的过渡结构，从传统的面心立方（FCC）晶格转变为体心立方（BCC）晶格，称为顶点偏移面心立方（VOFCC）晶格。采用选择性激光熔化（SLM）增材制造技术制备了点阵样品，并通过准静态压缩试验对其力学性能进行了评价。结果表明，新型仿生顶点偏移设计有效地重新分配了应力路径，减轻了节点应力集中，抑制了局部剪切带的形成和传播，从而防止了局部变形破坏引起的应力不稳定。此外，顶点偏移连接方法改变了传统网格中与竖向荷载方向对齐的面内侧支的承载行为，将压缩力转化为侧向拉力。这种设计还允许沿偏移对角支柱形成额外的塑料铰链，从而实现更大的能量耗散并显着提高应力能力。与传统的FCC和BCC晶格相比，VOFCC晶格平衡了弯曲主导和拉伸主导结构的性能优势，实现了承载和能量吸收性能的全面改善。生物启发的顶点偏移设计策略为高性能晶格超材料的设计和优化提供了重要的理论见解和实践指导

In-plane energy absorption capacity of a novel locally enhanced re-entrant honeycomb metamaterial

Haiping Ding, Suchao Xie, Hao Wang, Kunkun Jing, Jing Zhang, Hongyu Yan, Fengyi Zhang, Guandi He

doi:10.1016/j.tws.2025.113062

一种新型局部增强重入式蜂窝超材料的面内能量吸收能力

Reasonably applying hierarchical or hybrid methods in the design of advanced metamaterials can effectively enhance their energy absorption performance. To achieve a honeycomb metamaterial with enhanced energy absorption capacity, a novel bio-inspired locally enhanced re-entrant honeycomb (LERH) is proposed by integrating parallelogram and triangular structures into the re-entrant honeycomb (RH), based on both hierarchical and hybrid methods. Through quasi-static compression experiments, the energy absorption characteristic of the LERH is studied thoroughly, and the accuracy of the numerical model is verified to ensure its reliability in predicting the crushing behavior of the LERH. Notably, the stress-strain curve of the LERH exhibits two plateau stages, and the second plateau stress is 242.59% higher than the first. Furthermore, the crushing responses under different crushing velocities are investigated, and the theoretical analysis of plateau stress is carried out. Compared with other auxetic honeycombs, the LERH exhibits a superior energy absorption capacity. Specifically, its specific energy absorption is 155.3% higher than that of the conventional RH. Overall, this work presents a promising approach to designing structures with enhanced energy absorption performance by combining multiple structural configurations and design methods.

在先进超材料的设计中合理地采用分层或混合方法，可以有效地提高其吸能性能。为了实现具有增强能量吸收能力的蜂窝超材料，提出了一种基于分层和混合方法，将平行四边形和三角形结构整合到蜂窝超材料中的仿生局部增强蜂窝材料。通过准静态压缩实验，深入研究了该结构的能量吸收特性，验证了数值模型的准确性，确保了该数值模型预测该结构破碎行为的可靠性。值得注意的是，LERH的应力-应变曲线呈现出两个高原阶段，第二次高原应力比第一次高原应力高242.59%。研究了不同破碎速度下的破碎响应，并对高原应力进行了理论分析。与其它蜂窝式养蜂相比，LERH具有更强的能量吸收能力。具体而言，其比能量吸收比常规RH高155.3%。总的来说，本研究提出了一种结合多种结构形态和设计方法来设计具有增强吸能性能的结构的有前途的方法。

Improved Shell-Finite Strip Method for Inelastic Buckling Analysis of Thin-Walled Steel Members with Residual Stresses

Wen-Long Gao, Liang Chen, Ronald D. Ziemian, Si-Wei Liu

doi:10.1016/j.tws.2025.113064

带残余应力薄壁钢构件非弹性屈曲分析的改进壳-有限条法

This study investigates the inelastic buckling behavior of thin-walled steel members, with a specific focus on cold-formed steel members considering residual stresses. This behavior is essential for determining load-bearing capacities, yet it is often influenced by complex factors such as local-global interactive buckling, material yielding, and residual stresses. Current methods, including the Direct Strength Method (DSM), predominantly rely on the elastic Shell-Finite Strip Method (SFSM) and empirical formulations, which are primarily suited for regular cross-sections but less effective for those with complex geometries. Alternatively, the advanced Shell Finite Element Method (SFEM) is highly adaptable to various cross-sections and delivers accurate analyses; however, its significant computational cost limits routine applications. This research introduces an improved SFSM that integrates material inelasticity and residual stresses, enabling efficient and accurate buckling analysis for thin-walled steel members with arbitrary cross-sections. Validation using five examples demonstrates the accuracy and computational efficiency of proposed method, showing strong agreement with experimental data and SFEM results. The developed algorithms are implemented in the free educational software platform MSASect2.

本研究研究了薄壁钢构件的非弹性屈曲行为，特别关注冷弯型钢构件的残余应力。这种行为对于确定承载能力至关重要，但它经常受到复杂因素的影响，如局部-全局相互作用屈曲、材料屈服和残余应力。目前的方法，包括直接强度法（DSM），主要依赖于弹性壳-有限条法（smfsm）和经验公式，这些方法主要适用于规则截面，但对复杂几何形状的效果较差。另外，先进的壳有限元法（SFEM）是高度适应各种截面，并提供准确的分析；然而，其巨大的计算成本限制了常规应用。本研究介绍了一种改进的smfsm，它集成了材料的非弹性和残余应力，可以对任意截面的薄壁钢构件进行有效和准确的屈曲分析。通过5个算例的验证，证明了该方法的准确性和计算效率，与实验数据和SFEM结果吻合较好。所开发的算法在免费教育软件平台MSASect2上实现。