【新文速递】2026年6月3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 4 篇，International Journal of Plasticity 1 篇，Thin-Walled Structures 4 篇

International Journal of Solids and Structures

Angle-dependent magneto-mechanical model of magnetorheological elastomer metamaterials

Hongyao Wang, Xinyu Lian, Huaxia Deng, Xinglong Gong

doi:10.1016/j.ijsolstr.2026.114099

磁流变弹性体超材料的角相关磁力学模型

Compact descriptions for soft-magnetic MRE metamaterial units that directly parameterize the relative orientation among particle chains, magnetic-field direction, and loading direction remain limited. Here we propose an angle-parameterized magneto-mechanical coupling model, in which geometric effects are described by misalignment angles. Assuming reversible magnetization, negligible remanence and quasi-static magnetic response, an angle-dependent equivalent modulus is derived by accounting for dipolar interactions within and across particle chains and is expressed as a function of magnetic-field magnitude and relative orientation. The model quantifies mechanical responses under combined variations of misalignment angle and field magnitude, and identifies misalignment angle as an independent tuning parameter enabling bidirectional stiffness modulation. By embedding the equivalent modulus into a periodic mass–spring lattice, we further show that vibration bandgaps can be shifted upward or downward through misalignment-angle adjustment alone, without changing the magnetic-field magnitude. The proposed framework provides a mechanism-based description of directional magneto-mechanical coupling in soft-magnetic MRE metamaterials and offers guidance for the design of tunable architectures for adaptive vibration control.

直接参数化粒子链之间的相对方向、磁场方向和加载方向的软磁MRE超材料单元的紧凑描述仍然有限。本文提出了一种角度参数化的磁-力耦合模型，其中几何效应用不对准角来描述。假设可逆磁化，可忽略剩余物和准静态磁响应，通过计算粒子链内和粒子链之间的偶极相互作用，推导出角相关等效模量，并表示为磁场大小和相对取向的函数。该模型量化了错位角和场强组合变化下的力学响应，并将错位角确定为一个独立的调谐参数，实现双向刚度调制。通过将等效模量嵌入周期性质量弹簧晶格中，我们进一步表明，在不改变磁场强度的情况下，仅通过调整错位角就可以向上或向下移动振动带隙。该框架提供了一种基于机制的软磁磁谐振超材料定向磁-机械耦合描述，并为自适应振动控制的可调结构设计提供了指导。

Achieving near yield isotropy with an offset-node hybrid lattice design

Xudong Huang, Penghui Yu, Peijie Zhang, Xueyan Chen, Huifeng Tan, Muamer Kadic

doi:10.1016/j.ijsolstr.2026.114096

利用偏移节点混合晶格设计实现近良率各向同性

Lattice materials offer highly customizable mechanical properties, but their practical application is often limited by pronounced anisotropy, which makes them unsuitable for non-deterministic, multi-axial loading environments. While significant progress has been made in achieving elastic isotropy, controlling yield anisotropy, critical for nonlinear large deformations, remains a challenge. To address this, we introduce a novel design strategy that offsets the central node of a cubic unit cell along its spatial diagonal, creating a tunable hybrid architecture that interpolates between Simple Cubic and Body-Centered Cubic configurations. We systematically map the design space defined by this offset ratio and relative density to tailor elastic isotropic properties. Crucially, numerical and experimental results reveal that this ratio also provides precise control over yield anisotropy. We demonstrate a high degree of yield isotropy, achieving a near-ideal anisotropy ratio of 1.05 at a relative density of 0.25. This performance represents a notable advancement in the development of isotropic lattice architectures within the nonlinear regime. This exceptional isotropy remains stable across increasing densities, confirming the design’s robustness. Combined with high inherent stiffness and strength, these near-isotropic lattices are prime candidates for advanced load-bearing applications under uncertain loading conditions. Our strategy provides a powerful method for controlling anisotropy across linear and nonlinear regimes, with promising applications in aerospace, biomedical engineering, and beyond.

晶格材料提供了高度可定制的机械性能，但它们的实际应用往往受到明显的各向异性的限制，这使得它们不适合不确定的多轴加载环境。虽然在实现弹性各向同性方面取得了重大进展，但控制屈服各向异性仍然是一个挑战，这对非线性大变形至关重要。为了解决这个问题，我们引入了一种新的设计策略，沿空间对角线偏移立方单元格的中心节点，创建一个可调的混合建筑，在简单立方和体心立方配置之间进行插值。我们系统地映射由偏移比和相对密度定义的设计空间，以定制弹性各向同性特性。重要的是，数值和实验结果表明，该比率还可以精确控制屈服的各向异性。我们证明了高度的产率各向同性，在相对密度为0.25时达到了接近理想的1.05的各向异性比。这种性能代表了非线性体系中各向同性晶格结构发展的显著进步。这种特殊的各向同性在增加密度时保持稳定，证实了设计的稳健性。结合高固有刚度和强度，这些近各向同性晶格是不确定载荷条件下先进承重应用的主要候选者。我们的策略为控制线性和非线性系统的各向异性提供了一种强大的方法，在航空航天、生物医学工程等领域具有广阔的应用前景。

Journal of the Mechanics and Physics of Solids

A constitutive framework for distortional-mode-dependent failure in soft materials: Tension–compression asymmetry and beyond

Yogesh C. Chandrashekar, Kshitiz Upadhyay

doi:10.1016/j.jmps.2026.106700

软材料中变形模相关破坏的本构框架：拉压不对称及其他

Soft materials often exhibit pronounced tension–compression asymmetry (TCA) in their softening and failure behavior, a feature that conventional hyperelastic and continuum-damage formulations generally fail to capture within a unified framework. This work presents a Lode-invariant-based hyperelastic softening model for distortional-mode-dependent failure in soft materials, in which mode dependence is introduced through a bi-failure construction with distinct tensile and compressive energy limiters. The proposed model extends Volokh’s classical energy-limiting approach by embedding a Lode-angle-dependent weighting function, thereby ensuring a smooth and physically consistent transition of failure behavior across distortion modes directly within the constitutive description of the bulk response, without introducing internal damage variables. Agarose hydrogels (1, 2, and 3 % w/v) serve as the model system for validation. The framework accurately reproduces experimental stress–stretch responses in uniaxial tension and compression, capturing concentration-dependent stiffness and failure energetics. Using parameters calibrated solely from combined uniaxial data, the model successfully predicts pure shear behavior—including softening and failure—thereby demonstrating strong cross-mode predictive capability. To further assess thermodynamic consistency and distortion-mode sensitivity, the model’s free-energy landscape is an alyzed across the full Lode-invariant space, confirming a smooth and physically consistent response under diverse loading conditions. Parameter evolution with concentration follows power-law scaling, enabling interpolation and predictive validation at intermediate concentrations (evaluated at 2.5 % w/v). Overall, the proposed formulation provides a physically interpretable constitutive framework for tension–compression-asymmetric softening and distortional-mode-dependent failure, and establishes a foundation for three-dimensional failure mapping in soft materials.

软质材料在其软化和破坏行为中通常表现出明显的拉压不对称（TCA），这是传统的超弹性和连续损伤公式通常无法在统一框架内捕获的特征。这项工作提出了一个基于loe不变量的超弹性软化模型，用于软材料中扭曲模态相关的破坏，其中模态依赖通过具有不同拉伸和压缩能量限制的双破坏结构引入。该模型扩展了Volokh的经典能量限制方法，通过嵌入一个依赖于lode角的加权函数，从而确保在体响应的本构描述中，在不引入内部损伤变量的情况下，在变形模式之间的破坏行为的平滑和物理一致的过渡。琼脂糖水凝胶（1、2和3% w/v）作为模型系统进行验证。该框架准确地再现了单轴拉伸和压缩的实验应力-拉伸响应，捕获了依赖于浓度的刚度和破坏能量学。使用单轴数据校准的参数，该模型成功地预测了纯剪切行为，包括软化和破坏，从而展示了强大的跨模态预测能力。为了进一步评估热力学一致性和扭曲模式敏感性，在整个负载不变空间中分析了模型的自由能景观，确认了在不同负载条件下的平滑和物理一致的响应。参数随浓度的变化遵循幂律缩放，可以在中间浓度（评估为2.5% w/v）下进行插值和预测验证。总体而言，所提出的公式为拉伸-压缩-非对称软化和扭曲模式相关破坏提供了一个物理上可解释的本构框架，并为软质材料的三维破坏映射奠定了基础。

Modelling growth of soft solid as optimal control of nonlocal material manifolds

Ruoyu Huang

doi:10.1016/j.jmps.2026.106699

非局部材料流形最优控制下软固体生长的建模

Growth of soft solid may show nonlocal behaviours, e.g. homeostasis, which indicates the need of mathematical models beyond local growth laws relying solely on material symmetries at material points (0D manifold). In the present study, the growth modelling using lower-dimensional nonlocal material manifolds, e.g. material curves (1D) and material surfaces (2D), is proposed to address the nonlocal behaviours of growth. The incremental growth is decomposed and formulated as a set of spatial optimal control problems of the nonlocal material manifolds embedded in the continuum. The typical methods in the standard optimal control problem, e.g. Hamilton-Jacobi-Bellman equation, Pontryagin’s minimum principle (variational method) and the corresponding Riccati equation, are adapted for solving the incremental growth. Modelling of the growth of spherical solid shells is discussed to demonstrate the proposed method. Especially, a simplified semi-coupled model of the growth of spherical solid shell is presented with the closed-formed solution to give the explicit insight into the method. It is demonstrated that various optimal and suboptimal forms of growth can be derived and classified in the proposed unified framework, which sheds new light for the study of both physiological state and disease.

软固体的生长可能表现出非局部行为，例如稳态，这表明需要超越局部生长规律的数学模型，仅依赖于材料点（0D流形）的材料对称性。在本研究中，提出了使用低维非局部材料流形（例如材料曲线（1D）和材料表面（2D））的生长模型来解决生长的非局部行为。将增量增长分解为嵌入连续体中的非局部材料流形的一组空间最优控制问题。采用标准最优控制问题中的典型方法，如Hamilton-Jacobi-Bellman方程、Pontryagin最小原理（变分法）及相应的Riccati方程来求解增量增长问题。讨论了球形固体壳的生长模型，以证明所提出的方法。特别地，给出了球形固体壳生长的简化半耦合模型，并给出了闭形解，从而对该方法有了明确的认识。结果表明，在提出的统一框架中，可以推导出各种最优和次优生长形式，并对其进行分类，这为生理状态和疾病的研究提供了新的思路。

The Mullins Effect, Mechanical Preconditioning, and Predictive Power

Maximilian P. Wollner, Gerhard A. Holzapfel

doi:10.1016/j.jmps.2026.106698

马林斯效应，机械预处理和预测能力

Polymers and soft biological tissues are characterized by a damage mechanism known as the Mullins effect, which becomes apparent during mechanical testing upon unloading. It has been observed that further cyclic loading does not significantly alter the softened stress response as long as the magnitude of the cycle remains fixed. This so-called preconditioning is frequently used in experimental studies to isolate stable, albeit damaged material behavior. Similarly, it is not uncommon in constitutive modeling to disregard the initial stress response and instead to describe a pseudo-damaged material behavior using the preconditioned experimental data, without explicitly reproducing the Mullins effect. This contribution examines the aforementioned simplification in more detail. To this end, we define two material models: one that includes the softening effect and one that neglects it according to the simplification entailed by preconditioning. After calibrating both constitutive laws to the same experimental dataset in uniaxial extension, we compare their predictions in equibiaxial extension and torsion. We find significant deviations between both material models calling into question the predictive power of a pseudo-damaged stress response. The results prompt a more in-depth discussion of the underlying logic of mechanical preconditioning, particularly in regard to its implications for constitutive modeling.

聚合物和软生物组织的特征是一种被称为穆林效应的损伤机制，在卸载后的力学测试中变得明显。已经观察到，只要循环的幅度保持固定，进一步的循环加载不会显著改变软化应力响应。这种所谓的预处理在实验研究中经常用于分离稳定的，尽管是损坏的材料行为。同样，在本构模型中，忽略初始应力响应，而是使用预置实验数据来描述伪损伤材料的行为，而不明确地再现马林斯效应，这并不罕见。本文更详细地研究了前面提到的简化。为此，我们定义了两种材料模型：一种包括软化效应，另一种根据预处理所需的简化忽略软化效应。在将这两种本构定律校准到相同的单轴拉伸实验数据集后，我们比较了它们在等双轴拉伸和扭转中的预测。我们发现两种材料模型之间的显著偏差，对伪损伤应力响应的预测能力提出了质疑。这些结果促使对机械预处理的潜在逻辑进行更深入的讨论，特别是关于其对本构建模的影响。

Nonreciprocal transition waves in active lattices

Yao Zhang, Chengxuan Zhai, Zhanfeng Li, Jiahao Li, Guangjin Mou, Lizichen Chen, Yangkun Du, Michel Destrade, Changguo Wang, Yafei Wang

doi:10.1016/j.jmps.2026.106697

有源晶格中的非互易跃迁波

Active systems, such as contraction of muscle fibers and action potential propagation in neural networks, exhibit efficient directional transport of information and energy. Bringing these biological principles into engineered systems can overcome the limitations of passive metamaterials in tunability after fabrication, spontaneous reset, and the realization of dynamical nonreciprocity. However, a unified and transparent an alytical framework for reversible nonreciprocal wave propagation governed by coupled fast-slow dynamics remains absent. We develop a mechanical lattice composed of active bistable elements incorporating a displacement-driven slow recovery variable to emulate biologically inspired recovery processes and capture the evolution of active stiffness. Discrete and continuum models are derived to describe the lattice dynamics. Building on continuum descriptions, we employ singular perturbation and matched asymptotic expansions, complemented by machine learning, to enable an alytical characterization. Then we define a metric of nonreciprocal energy transport and map the key parameters to quantify how system parameters jointly control wave speed and propagation direction. Nonlinear results reveal that forward and backward transition waves propagate at markedly different steady speeds, demonstrating pronounced nonreciprocity. The key mechanism arises from the coupling between fast excitation and slow recovery, which produces a refractory effect that resets the energy landscape and therefore breaks time reversal symmetry in a geometrically symmetric structure. During the evolution of active stiffness, an intermediate phase emerges and co-propagates with the mechanical wave and selectively suppresses returning waves under appropriate timing conditions. Consequently, reversible and tunable nonreciprocal transition waves are achieved. We obtain bidirectional wave solutions, along with an alytical expressions for wave speed, width and energy flux as well as their conditions of validity. Theoretical predictions agree closely with numerical simulations and demonstrate that the nonreciprocity depends on the recovery rate in a nonlinear manner. This study provides a general theoretical framework and practical design guidelines for bioinspired intelligent metamaterials that enable reversible directional energy routing, signal isolation, and mechanical logic, and it also informs the design of field controlled phase change materials and multiphysics devices.

主动系统，如肌肉纤维的收缩和神经网络中的动作电位传播，表现出有效的信息和能量的定向传输。将这些生物学原理引入工程系统可以克服被动超材料在制造后的可调性、自发复位和实现动态非互易性方面的局限性。然而，对于由耦合快慢动力学控制的可逆非互易波传播，目前还缺乏统一透明的分析框架。我们开发了一种由主动双稳态元件组成的机械晶格，其中包含一个位移驱动的缓慢恢复变量，以模拟生物启发的恢复过程，并捕捉主动刚度的演变。导出了离散和连续模型来描述晶格动力学。在连续体描述的基础上，我们采用奇异摄动和匹配渐近展开，辅以机器学习，以实现分析表征。然后，我们定义了一个非互反能量输运度量，并映射了关键参数，以量化系统参数如何共同控制波速和传播方向。非线性结果表明，正向和反向过渡波以明显不同的稳定速度传播，表现出明显的非互易性。其关键机制在于快速激发和缓慢恢复之间的耦合，这种耦合产生了重设能量格局的难解效应，从而打破了几何对称结构中的时间反转对称性。在主动刚度演化过程中，中间相位出现并与机械波共传播，并在适当的时序条件下选择性地抑制回波。因此，实现了可逆和可调谐的非互反过渡波。我们得到了双向波解，以及波速、波宽和能量通量的解析表达式及其有效条件。理论预测与数值模拟结果吻合较好，证明了非互易性以非线性方式依赖于恢复速率。该研究为生物智能超材料提供了一个通用的理论框架和实践设计指南，可以实现可逆的定向能量路由，信号隔离和机械逻辑，并为场控相变材料和多物理场器件的设计提供了指导。

International Journal of Plasticity

Tailoring the thermal expansion performance of Ni-Mn-Ga ferromagnetic shape memory alloy through magnetic field: experiment and thermo-magneto-mechanically coupled constitutive model

Yao Xiao, Yunhui Geng, Chao Yu

doi:10.1016/j.ijplas.2026.104743

通过磁场裁剪Ni-Mn-Ga铁磁形状记忆合金的热膨胀性能：实验和热磁力耦合本构模型

In this paper, the regulating effect of rotary magnetic field on the thermal expansion (TE) of 5M Ni-Mn-Ga ferromagnetic shape memory alloy (FSMA) single crystal is first revealed by experiment. The results show that a rotary magnetic field with the intensity of 1.086 T can cause a continuous variation of the average TE coefficient from 90.5 × 10−6/K to −25.8 × 10−6/K in a wide temperature window of 125 K (ranging from 298 K to 173 K). Furthermore, by applying different compressive stresses and mechanical constraints along the longitudinal direction of the specimen, the evolutions of the TE under various magneto-mechanical regulation conditions are explored. To quantitatively describe these new phenomena, a three-dimensional thermo-magneto-mechanically coupled constitutive model is established based on finite deformation theory within an irreversible thermodynamic framework. The model considers various inelastic deformation and magnetization mechanisms, including martensitic reorientation, magnetic domain wall motion, and magnetization vector rotation, as well as the intrinsic anisotropic TE tensor of martensite. The demagnetization effect and Maxwell stress are also incorporated in the model. The effect of magnetic field intensity, rotation angle, initial stress, mechanical constraint, and crystallographic orientation on the tailored TE of Ni-Mn-Ga FSMA are predicted and discussed, paving the way for the precise regulation of TE performance in Ni-Mn-Ga FSMA.

本文首次通过实验揭示了旋转磁场对5M Ni-Mn-Ga铁磁形状记忆合金（FSMA）单晶热膨胀（TE）的调节作用。结果表明，在温度窗为125 K （298 ~ 173 K）的范围内，1.086 T的旋转磁场可以使平均TE系数在90.5 × 10−6/K到- 25.8 × 10−6/K之间连续变化。此外，通过施加不同的压应力和沿试样纵向的力学约束，探讨了TE在不同磁力调节条件下的演变。为了定量描述这些新现象，在不可逆热力学框架下，基于有限变形理论建立了三维热磁力耦合本构模型。该模型考虑了多种非弹性变形和磁化机制，包括马氏体重取向、磁畴壁运动和磁化矢量旋转，以及马氏体的本征各向异性TE张量。模型中还考虑了退磁效应和麦克斯韦应力。预测和讨论了磁场强度、旋转角度、初始应力、机械约束和晶体取向对Ni-Mn-Ga FSMA定制TE的影响，为Ni-Mn-Ga FSMA中TE性能的精确调控铺平了道路。

Thin-Walled Structures

Mixed-Dimensional Modeling and Vibration Control of Composite Plate–Cylindrical Shell Coupled Structures

Wen-Jie Li, Jian Zang, Ye-Wei Zhang, Li-Qun Chen

doi:10.1016/j.tws.2026.115190

复合材料板-柱壳耦合结构的混维建模与振动控制

A modelling methodology employing geometry-based dimensional transformation is developed to ana lyze and suppress vibration in a plate–cylindrical shell coupled structure (PCCS) formed by composite laminates. In this framework, the three-dimensional cylindrical shell is converted into an equivalent two-dimensional semi-cylindrical representation and integrated with the plate for mixed-dimensional dynamic modelling. The natural frequencies were determined using the Rayleigh-Ritz method, and the effectiveness of the model was verified by FEM under different thermal environments (40-120°C) and various boundary conditions. Impact hammer tests verified the natural frequencies and mode shapes under C-F boundary conditions, confirming the accuracy of the theoretical predictions. Vibration control strategies are evaluated via a combined implementation of the Galerkin truncation method, the Runge–Kutta method, and the Harmonic Balance Method, through which damping effects are assessed for different wire placements relative to vibration amplitudes and orientation layouts. This systematic optimization results in a configuration achieving 38.29% vibration reduction. Harmonic excitation tests confirmed that the maximum damping efficiency was 41.83%, which is in high agreement with the theoretical prediction, proving the effectiveness of PCCS vibration suppression. These outcomes provide an ana lytical framework for cross-dimensional composite structures and promote the application potential of embedded shape memory alloys in passive damping technology.

提出了一种基于几何尺寸变换的复合材料层合板-柱壳耦合结构振动分析与抑制建模方法。在该框架中，将三维圆柱壳转换为等效的二维半圆柱表示，并与板相结合进行混维动力学建模。采用Rayleigh-Ritz法确定了固有频率，并在不同热环境（40-120°C）和不同边界条件下对模型的有效性进行了有限元验证。冲击锤试验验证了C-F边界条件下的固有频率和模态振型，证实了理论预测的准确性。通过Galerkin截断法、龙格-库塔法和谐波平衡法的组合实现来评估振动控制策略，通过该方法评估不同导线放置相对于振动幅值和方向布局的阻尼效果。这种系统优化的结果是，配置实现了38.29%的减振。谐波激励试验验证了PCCS的最大阻尼效率为41.83%，与理论预测高度吻合，证明了PCCS抑制振动的有效性。这些结果为跨维复合材料结构提供了分析框架，促进了嵌入式形状记忆合金在被动阻尼技术中的应用潜力。

Dynamic deformation behavior and constitutive model of metal rubber under impact load

Shiwen Feng, Qiang Song, Feifan Liu, Zhiying Ren

doi:10.1016/j.tws.2026.115191

金属橡胶在冲击载荷下的动态变形行为及本构模型

As a new type of porous damping material, metal rubber with entangled spiral metal wires has been extensively applied in national defenses. However, the unique meso-porous structure complicates its deformation behavior and mechanical properties under impact load, which limits its broader application in impact resistance and protective engineering. In this paper, a series of dynamic compression experiments are performed on the metal rubber with relative densities of 0.20, 0.25 and 0.30 to systematically investigate the deformation behavior and mechanical properties under a strain rate range of 50 s−1 to 450 s−1. A split Hopkinson pressure bar (SHPB) test apparatus combined with high-speed photography technique are employed to capture both macroscopic mechanical responses and transient deformation processes. The experimental results indicate that the deformation process of metal rubber under impact load goes through a linear elastic stage, interlocking hardening stage and deformation softening stage successively. The mechanical properties and energy absorption efficiency exhibit pronounced strain rate enhancement and density dependence. The Zhu-Wang-Tang (ZWT) nonlinear viscoelastic constitutive model is found to effectively characterize the mechanical responses of metal rubber in the elastic stage and interlocking hardening stage, while its predictive capability decreases in the deformation softening stage. In addition, the high-fidelity finite element numerical simulation based on virtual preparation technology is conducted to an alyze the spatio-temporal evolution of stress wave propagation and attenuation characteristics, providing additional insight into the effects of wire contact, frictional sliding, and structural interlocking during impact load. This study facilitates a comprehensive understanding of the dynamic deformation behavior and mechanical properties of metal rubber, providing a valuable guidance for its design and application in impact resistance and protective engineering.

金属橡胶缠绕螺旋金属丝作为一种新型多孔阻尼材料，在国防领域得到了广泛的应用。然而，其独特的介孔结构使其在冲击载荷下的变形行为和力学性能复杂化，限制了其在抗冲击和防护工程中的广泛应用。本文对相对密度为0.20、0.25和0.30的金属橡胶进行了一系列动态压缩实验，系统研究了在50 s−1 ~ 450 s−1应变速率范围内的变形行为和力学性能。采用分离式霍普金森压杆（SHPB）试验装置结合高速摄影技术，对试件的宏观力学响应和瞬态变形过程进行了记录。试验结果表明，金属橡胶在冲击载荷作用下的变形过程依次经历了线弹性阶段、联锁硬化阶段和变形软化阶段。力学性能和能量吸收效率表现出明显的应变速率增强和密度依赖性。发现朱旺塘（Zhu-Wang-Tang， ZWT）非线性粘弹性本构模型能有效表征金属橡胶在弹性阶段和联锁硬化阶段的力学响应，但在变形软化阶段预测能力下降。此外，基于虚拟制备技术的高保真有限元数值模拟分析了冲击载荷过程中应力波传播和衰减特性的时空演变，深入了解了金属丝接触、摩擦滑动和结构联锁的影响。本研究有助于全面了解金属橡胶的动态变形行为和力学性能，为金属橡胶在抗冲击和防护工程中的设计和应用提供有价值的指导。

A Transferable Multi-Physics Constrained Neural Constitutive Framework for Heterogeneous Welded Structures

Yu Zhu, Lele Zhang, Zuheir Barsoum, Weiyuan Dou

doi:10.1016/j.tws.2026.115189

非均质焊接结构的可转移多物理场约束神经本构框架

Accurate prediction of damage and fracture in welded thin-walled structures requires constitutive models capable of capturing pronounced material heterogeneity under complex stress states. Conventional an alytical models, constrained by predefined empirical formulations and extensive zone-wise calibration, often struggle to achieve both accuracy and efficiency. To address these limitations, this study proposes a multi-physics constrained neural network (MPNN) constitutive framework integrated with an evolutionary transfer learning strategy. The source-domain model is first trained using a phenomenology-guided composite loss function that embeds multiple classical hardening and failure models while enforcing monotonicity, smoothness, elasticity, and boundary constraints. Using the intrinsic correlations among weld regions, the pre-trained base material model is then efficiently transferred to the welding zone and heat-affected zones through low-dimensional linear parameter transformations optimized via a genetic algorithm, requiring only limited experimental data. In the source domain, the MPNN demonstrates superior generalization capability compared with conventional a nalytical models. For welded compact tension (CT) specimens, the transferred models accurately reproduce both global force–displacement responses and local displacement evolution, while significantly reducing calibration cost relative to independent inverse identification. A component-level profile expansion test further validates the framework’s predictive robustness under complex multiaxial stress states. The proposed approach provides an efficient and physically consistent data-driven approach for high-fidelity characterization of heterogeneous welded structures.

准确预测焊接薄壁结构的损伤和断裂需要能够捕捉复杂应力状态下明显材料非均质性的本构模型。传统的分析模型，受到预定义的经验公式和广泛的区域明智的校准的限制，往往难以达到准确性和效率。为了解决这些限制，本研究提出了一个集成了进化迁移学习策略的多物理约束神经网络（MPNN）本构框架。源域模型首先使用现象学引导的复合损失函数进行训练，该函数嵌入了多个经典硬化和失效模型，同时强制执行单调性、平滑性、弹性和边界约束。利用焊缝区域之间的内在相关性，通过遗传算法优化的低维线性参数转换，将预先训练好的基材模型有效地转移到焊接区域和热影响区域，只需要有限的实验数据。在源域，与传统的分析模型相比，MPNN具有更好的泛化能力。对于焊接致密拉伸（CT）试件，转换模型能准确再现整体力-位移响应和局部位移演化，同时相对于独立的反识别显著降低了校准成本。构件级剖面展开试验进一步验证了该框架在复杂多轴应力状态下的预测鲁棒性。该方法为非均质焊接结构的高保真度表征提供了一种高效且物理一致的数据驱动方法。

Crashworthiness design for thin-walled tubes with novel variable-gradient origami patterns under impact loading

Chenhao Teng, Wenlong Lu, Zhibo Song, Yuwei Li, Yang Song, Caihua Zhou

doi:10.1016/j.tws.2026.115188

冲击载荷下变梯度折纸薄壁管的耐撞性设计

Origami tubes have been extensively researched as energy absorbers due to their ability to undergo substantial plastic deformation under impact, improving energy absorption. Although conventional origami patterns enhance crashworthiness, the areas around the origami initiators often do not undergo plastic deformation, which limits further improvements in crashworthiness. A new antiprismatic variable-gradient origami tube (AVT) is proposed, featuring an origami pattern that enhances plastic deformation in the origami initiator areas and improves crashworthiness. The experimental and numerical simulations reveal that the AVT can activate twice as many super-folding elements as conventional origami tubes, and four times more super-folding elements than conventional square tubes (CST). Compared to the CST, the AVT can deform in double diamond modes, resulting in a 53% reduction in initial peak force F max and a 85.6% increase in average crushing force F ave . Results from numerical simulations show that the crashworthiness is significantly influenced by the dihedral angle ratio, the width-to-thickness ratio, and the origami height ratio. A theoretical an alysis is developed to predict the F ave of the AVT. The results indicate that the F ave can be accurately predicted using the theoretical a nalysis method, with the maximum deviation from experimental and numerical results being within 9.5%. Furthermore, compared to the origami-ending origami tube, the proposed AVT exhibits superior performance in most cases.

折纸管作为能量吸收剂被广泛研究，因为它们能够在冲击下经历大量的塑性变形，从而提高能量吸收。虽然传统的折纸图案增强了耐撞性，但折纸启动器周围的区域通常不会发生塑性变形，这限制了进一步提高耐撞性。提出了一种新的反棱镜变梯度折纸管（AVT），其折纸图案增强了折纸引发区的塑性变形，提高了折纸管的耐撞性。实验和数值模拟结果表明，AVT可激活的超折叠元件数量是传统折纸管的2倍，是传统方形管（CST）的4倍。与CST相比，AVT可以以双钻石模式变形，导致初始峰值力fmax降低53%，平均破碎力fave增加85.6%。数值模拟结果表明，折纸的耐撞性受折纸的二面角比、宽厚比和折纸高度比的影响较大。提出了一种预测AVT转速的理论分析方法。结果表明，利用理论分析方法可以准确地预测出fave，与实验和数值结果的最大偏差在9.5%以内。此外，与折纸结束的折纸管相比，所提出的AVT在大多数情况下表现出优越的性能。