今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 2 篇
Investigation of fracture behaviour of a complex interface crack using a modified interaction energy integral method under thermal shock loading
Yanyan Zhang, Zengtao Chen, Zewei Li, Fengnan Guo, Hao Ran
doi:10.1016/j.ijsolstr.2025.113317
热冲击载荷作用下复杂界面裂纹断裂行为的修正相互作用能积分法研究
The fracture behavior of advanced materials with complex interfaces is a critical concern in material design and manufacture. In this article, a novel method is proposed to capture fracture parameters of a crack in multiphase materials with complex interfaces under thermal shock loading. With the help of the designed auxiliary fields, the interaction energy integral method (IEIM), which is complicated by both the complex interface structure and the thermal shock loading, is simplified, making it applicable to various types of multiphase materials and the thermal shock conditions. Using this method, the crack growth in the complex interface structure of advanced multiphase material under transient, thermal shock loading is investigated. The evolution of the complex thermal stress intensity factors (CTSIFs) of mixed-mode around the interface crack tip is presented during the process of thermal shock loading, and the corresponding influence caused by the complex interface is examined from multiple perspectives. First, the relationship between the transient values of each CTSIF and the corresponding crack length is established during the thermal shock process. Both K1 and K2 exhibit distinct changes when the crack reaches the interface, which intersects its propagation path in all three multiphase materials. Next, from the variation of the peak values of each CTSIF, a potential well and a sharp variation in the slope of K2 are identified in the process of thermal shock, which are attributed to the presence of the complex interface structure. These founds suggest that specific interface types within the complex interface structure can influence the CTSIF of the interface crack under thermal shock. Additionally, the strain energy release rate is computed and analysed. Based on its variation, the process of the interface crack growth under thermal shock is classified into the unstable and the stable growth. Those findings, along with the proposed IEIM provide valuable insights for the design, evaluation, and engineering applications of complex thermal interfaces in advanced materials.
具有复杂界面的先进材料的断裂行为是材料设计和制造中的关键问题。本文提出了一种新方法,用于获取在热冲击载荷作用下多相材料复杂界面中裂纹的断裂参数。借助设计的辅助场,简化了因复杂界面结构和热冲击载荷而变得复杂的交互能积分法(IEIM),使其适用于各种类型的多相材料和热冲击条件。利用该方法,研究了先进多相材料复杂界面结构在瞬态热冲击载荷作用下的裂纹扩展。给出了热冲击加载过程中界面裂纹尖端混合模式复杂热应力强度因子(CTSIFs)的演变,并从多个角度考察了复杂界面所造成的影响。首先,建立了热冲击过程中各 CTSIF 的瞬态值与相应裂纹长度之间的关系。当裂纹到达界面时,K1 和 K2 均表现出明显的改变,该界面在所有三种多相材料中都与裂纹的扩展路径相交。接下来,通过各 CTSIF 峰值的变化,在热冲击过程中识别出了一个势阱和 K2 斜率的急剧变化,这归因于复杂的界面结构的存在。这些发现表明,复杂界面结构中的特定界面类型会影响热冲击下界面裂纹的 CTSIF。此外,还计算并分析了应变能释放率。根据其变化,将热冲击下界面裂纹的扩展过程分为不稳定扩展和稳定扩展。这些发现,连同所提出的 IEIM,为先进材料中复杂热界面的设计、评估和工程应用提供了有价值的见解。
A strain gradient phase field model for heterogeneous materials based on two-scale asymptotic homogenization
Heliang You, Meizhen Xiang, Yuhang Jing, Licheng Guo, Zhiqiang Yang
doi:10.1016/j.jmps.2025.106104
基于二尺度渐近均质化的非均质材料应变梯度相场模型
Due to the inherent microstructural heterogeneity of heterogeneous materials, their macroscopic fracture behavior differs significantly from that of homogeneous materials, exhibiting phenomena such as anisotropic fracture energy and strain gradient effects. To investigate the effect of microstructure on macroscopic fracture behavior, this study proposes a novel multiscale phase field model. Based on the theory of two-scale asymptotic expansion, the model constructs an equivalent multi-field coupled boundary value framework, which includes both a strain gradient elasticity submodel and a homogenized phase field submodel. Through rigorous mathematical derivation, homogenized tensors that characterize the elastic constitutive relations and fracture properties are obtained without relying on any additional assumptions. Moreover, to distinguish the contributions of load components to crack propagation, energy decomposition strategies based on orthogonal projection are introduced for stress and higher-order stress. Compared to full-scale simulations, the proposed model significantly reduces computational cost while maintaining accuracy. Numerical simulations show that the model accurately captures the influence on crack propagation direction induced by microstructure. Additionally, the model effectively demonstrates the hindering effect of strain gradients on crack propagation, offering new insights into the size effect in the fracture of heterogeneous materials. This work provides a new framework for studying the multiscale fracture behavior of heterogeneous materials.
非均质材料由于其固有的微观组织非均质性,其宏观断裂行为与均质材料有显著差异,表现出断裂能和应变梯度等各向异性效应。为了研究微观结构对宏观断裂行为的影响,本文提出了一种新的多尺度相场模型。基于双尺度渐近展开理论,构建了一个等效的多场耦合边值框架,该框架包括应变梯度弹性子模型和均质相场子模型。通过严格的数学推导,在不依赖任何额外假设的情况下,获得了表征弹性本构关系和断裂性能的均匀张量。此外,为了区分荷载分量对裂纹扩展的贡献,引入了基于正交投影的应力和高阶应力能量分解策略。与全尺寸仿真相比,该模型在保持精度的同时显著降低了计算成本。数值模拟结果表明,该模型能较好地反映微观组织对裂纹扩展方向的影响。此外,该模型有效地展示了应变梯度对裂纹扩展的阻碍作用,为非均质材料断裂中的尺寸效应提供了新的认识。这为研究非均质材料的多尺度断裂行为提供了一个新的框架。
Shear bands in polymer tubes under internal pressure
Tianxiang Lan, Yaodong Jiang, Peidong Wu, Yueguang Wei
doi:10.1016/j.mechmat.2025.105315
内压作用下聚合物管中的剪切带
The extensive emergence and frequent interaction of shear bands play a pivotal role in the behavior of ductile polymers under large deformations. This paper employs the finite element method to analyze the emergence and evolution of shear bands in polymer tubes under internal pressure. Assuming the tube is sufficiently long, plane strain conditions prevail in the axial direction. The behavior of polymers is represented by the classical elastic-viscoplastic constitutive model, which incorporates influences of pressure, strain rate and temperature on yielding and encompasses intrinsic softening and consequent orientation hardening. Simulations indicate that shear bands initially propagate in a spiral pattern, followed by widening, multiplication, and annihilation indications. These phenomena collectively contribute to the onset and expansion of necks. The competition between the propagation and multiplication of shear bands governs the unpredictability in the initiation sites of necking. Particular attention is paid to four interesting interactions between shear bands (i.e., “detour”, bifurcation, obstruction, “repulsion”) and their genesis mechanisms. The effects of material parameters, initial geometric imperfections, specimen thickness and loading method are systematically discussed. It is demonstrated that intrinsic softening facilitates the emergence and propagation of bands, while orientation hardening contributes to the widening of bands and the expansion of necks. The synergistic effect of intrinsic softening and orientational hardening modulates shear bands’ morphology, multiplication, competition and interaction. The initial imperfection wave number significantly affects the number of shear bands. Periodic symmetric imperfections result in a comparable number of clockwise and counterclockwise shear bands, followed by necks propagating bi-directionally along the specimen. Conversely, periodic asymmetric imperfections induce a unidirectional spiral configuration of shear bands, followed by necks propagating unidirectionally along the specimen. Compared with experiments, it is demonstrated that the constitutive model can qualitatively depict the onset and propagation of necks. The multiplication, bifurcation, “detour”, and obstruction of shear bands frequently observed in experiments can also be predicted well qualitatively.
剪切带的广泛出现和频繁的相互作用对塑性聚合物在大变形下的行为起着关键作用。本文采用有限元方法分析了内压作用下聚合物管材剪切带的产生和演化过程。假设管足够长,平面应变条件在轴向占优。聚合物的行为用经典的弹粘塑性本构模型来表示,该模型考虑了压力、应变速率和温度对屈服的影响,包括固有软化和随后的取向硬化。模拟表明剪切带最初以螺旋模式传播,随后是扩大,倍增和湮灭迹象。这些现象共同导致颈部的出现和扩张。剪切带的扩展和增殖之间的竞争决定了颈缩起始位置的不可预测性。特别关注剪切带之间的四种有趣的相互作用(即“绕道”,分岔,阻碍,“排斥”)及其成因机制。系统地讨论了材料参数、初始几何缺陷、试样厚度和加载方式等因素的影响。结果表明,本征软化有利于带状的产生和扩展,取向硬化有利于带状的扩大和颈部的扩展。内禀软化和取向硬化的协同作用调节了剪切带的形态、增殖、竞争和相互作用。初始缺陷波数对剪切带数有显著影响。周期性对称缺陷导致相当数量的顺时针和逆时针剪切带,其次是沿试件双向传播的颈部。相反,周期性不对称缺陷诱导剪切带的单向螺旋结构,随后是沿试件单向传播的颈部。实验结果表明,本构模型可以定性地描述颈部的发生和发展过程。实验中经常观察到的剪切带的倍增、分岔、“绕道”和阻塞也可以很好地定性预测。
Superior fretting wear resistance of titanium alloys from stable gradient nanostructures induced by laser shock peening
Zhenyang Cao, Luqing Cui, Sihai Luo, Hao Su, Zhicong Pang, Wang Zhao, Liyin Zhang, Weifeng He, Xiaoqing Liang
doi:10.1016/j.ijplas.2025.104293
激光冲击强化制备的稳定梯度纳米结构钛合金的微动耐磨性
TC6 titanium alloy is widely utilized in the blades and fastener structures of aeroengines, where fretting wear failure is a common issue. To address this challenge, various surface treatment techniques have been employed, with laser shock peening (LSP) garnering significant attention due to its excellent surface integrity. Although LSP has been extensively applied to improve the fatigue and friction properties of titanium alloys, its impact on the fretting wear performance and relevant strengthening mechanisms remains insufficiently explored. In this work, we demonstrate that the continuous formation of stable gradient nanograin-amorphous substructures, facilitated by the LSP-induced work-hardening layer, results in a remarkable 51.9 % reduction in the wear rates of titanium alloys under high-load fretting conditions, decreasing from 4.147 × 10-6 mm3 N-1 m-1 to 1.996 × 10-6 mm3 N-1 m-1. Furthermore, through the application of multiple microscopic techniques and energy-based analyses, the gradient mechanics, surface morphology, energy dissipation, microstructural evolution, and dislocation behavior of titanium alloys pre- and post-friction tests are systematically investigated. The superior fretting wear resistance of titanium alloys stems from the synergistic effects of the surface hardening layer, compressive residual stress, and the evolution of gradient nanograin-amorphous substructures, which inhibit the matrix removal and accommodate large plastic strains under fretting slip. This work provides a comprehensive and in-depth understanding of the strengthening mechanisms of the LSP-induced stable gradient nanostructures, offering new insights into the targeted design optimization of surface microstructures for titanium alloys.
TC6钛合金广泛应用于航空发动机的叶片和紧固件结构中,微动磨损失效是常见的问题。为了应对这一挑战,人们采用了各种表面处理技术,其中激光冲击强化(LSP)因其出色的表面完整性而备受关注。虽然LSP已被广泛应用于改善钛合金的疲劳和摩擦性能,但对其对微动磨损性能的影响及其强化机制的研究还不够。在这项工作中,我们证明了在sps诱导的加工硬化层的促进下,稳定梯度纳米晶非晶亚结构的持续形成,导致钛合金在高载荷微动条件下的磨损率显著降低51.9%,从4.147 × 10-6 mm3 N-1 m-1降低到1.996 × 10-6 mm3 N-1 m-1。此外,通过多种显微技术和能量分析,系统研究了钛合金摩擦前后的梯度力学、表面形貌、能量耗散、显微组织演变和位错行为。钛合金优异的微动磨损性能源于表面硬化层、压缩残余应力和梯度纳米晶-非晶态亚结构的协同作用,这些亚结构抑制了微动滑移下基体的去除,并适应了大塑性应变。本研究为全面深入地了解lsp诱导的稳定梯度纳米结构的强化机制提供了新的思路,为钛合金表面微结构的定向设计优化提供了新的思路。
Assessment of the effects of wind loading due to climate change on the reliability of steel pitched-roof portal frames
Milena Janković, Filip Ljubinković, Helena Gervásio, Luís Simões da Silva
doi:10.1016/j.tws.2025.113141
气候变化引起的风荷载对钢斜顶门式刚架可靠性影响的评估
This paper investigates the reliability of steel structures considering the effects of climate change on wind loading. This assessment is based on 3 climate-change scenarios for the reference wind speed for a specific region in Portugal. The reliability analysis for typical steel pitched-roof portal frames is carried out using the Monte Carlo method, considering simultaneously loading and resistance as random. A design point search method, coupled with an Importance Sampling formulation for multiple load combinations is proposed and implemented, and compared with crude Monte Carlo simulation. It is shown that the proposed method can provide accurate results at a fraction of the number of simulations that are required using the crude Monte Carlo simulation. Finally, the increased probability of failure for the load combinations where the wind is the leading action is quantified for the assumed climate change scenarios.
本文研究了考虑气候变化对风荷载影响的钢结构的可靠度。这一评估是基于葡萄牙某一特定地区参考风速的3种气候变化情景。采用蒙特卡罗方法对典型钢斜顶门式刚架进行了可靠度分析,同时考虑了随机荷载和随机阻力。提出并实现了一种设计点搜索方法,并结合重要抽样公式对多负荷组合进行了设计点搜索,并与原始蒙特卡罗模拟进行了比较。结果表明,所提出的方法可以提供精确的结果,只需使用原始蒙特卡罗模拟所需模拟次数的一小部分。最后,在假定的气候变化情景下,对风为主导作用的荷载组合的失效概率增加进行了量化。
Thermo-Mechanical Response of Axisymmetric Cylindrical Shells Made of FGM Subjected to Cooling Shock
R. Ansari, A. Talebian, M. Zargar Ershadi
doi:10.1016/j.tws.2025.113145
冷却冲击下FGM轴对称圆柱壳的热-力学响应
This investigation presents a comprehensive analysis of the thermomechanical behavior of functionally graded (FG) cylindrical shells subjected to cooling shock employing a novel solution methodology. Utilizing the first-order shear deformation theory, the variational differential quadrature (VDQ) approach is employed to solve the governing equation, which are derived using Hamilton's principle, then complemented by the Newmark integration technique for the time derivatives. The generalized differential quadrature (GDQ) method is employed to solve the one-dimensional transient heat conduction problem. The study systematically investigates the influences of temperature differences, boundary conditions (BCs), power law indices, and thermal load rapidity time on the vibrations and stress distributions across various surfaces of the cylindrical shell. Numerical results demonstrate that significant temperature variations lead to increased vibrational amplitudes and stress concentrations, highlighting the critical role of BCs and material properties in the dynamic behavior of FG cylindrical shells.
本研究提出了一个综合分析的热力学行为的功能梯度(FG)圆柱壳受到冷却冲击采用新颖的解决方法。利用一阶剪切变形理论,采用变分微分正交(VDQ)方法求解控制方程,利用Hamilton原理推导控制方程,并结合Newmark积分技术求解时间导数。采用广义微分正交(GDQ)方法求解一维瞬态热传导问题。系统地研究了温差、边界条件、幂律指数和热载荷快速时间对圆柱壳各表面振动和应力分布的影响。数值结果表明,显著的温度变化导致振动幅值和应力集中增加,突出了bc和材料性能在FG圆柱壳动力行为中的关键作用。