Mechanics of Materials最新文献_第3页

Investigation to grain-size dependent plasticity of Mg alloys based on phase field approach 基于相场法的镁合金晶粒尺寸塑性研究

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-31 DOI: 10.1016/j.mechmat.2025.105596

Jiachen Hu , Bo Xu , Junyuan Xiong , Chao Yu , Guozheng Kang

A grain size-dependent crystal plasticity-twinning phase field model is proposed by integrating a Hall-Petch-type slipping resistance and a grain misorientation-dependent barrier energy. Monotonic and cyclic deformation simulations are performed on the texture-free and basal-textured polycrystalline Mg alloys to investigate their plastic deformation and underlying mechanisms governed by both the grain size and texture. The results demonstrate that the grain refinement suppresses twinning and promotes non-basal slipping, shifting the plastic deformation in the texture-free alloys from a twinning-dislocation slipping co-dominance to a dislocation slipping dominance. However, the sustained dominance of twinning and basal slipping in the basal-textured systems indicates a lower critical grain size of twinning compared to the texture-free ones. Under a cyclic loading, the grain refinement mitigates the detwinning-induced inelastic unloading in the texture-free systems and reduces the yield asymmetry in the basal-textured ones. The grain refinement also reduces the number and kind of twins by limiting their available space and nucleation sites, and weakening the twin-twin interactions. The increased deformation homogeneity shifts the twin evolution at peak tensile strain from a thickening-to nucleation- and propagation-dominated modes and makes the re-twinning be more strongly suppressed than primary twinning. Furthermore, the texture enhances twin-twin interactions, intensifying the localization of dislocation slipping, while the grain refinement promotes a more homogeneous distribution of dislocation slipping. The inhomogeneous stress fields generated by accumulated dislocations reversely regulate the twin activity, revealing a coupling mechanism between them. These findings provide mechanistic insights into strengthening and toughening Mg alloys through a texture-grain size synergistic design.

通过集成霍尔-佩奇型滑移阻力和与晶粒取向偏差相关的势垒能，提出了晶粒尺寸相关的晶体塑性-孪晶相场模型。对无织构和基本织构的多晶镁合金进行了单调和循环变形模拟，研究了晶粒尺寸和织构对多晶镁合金塑性变形的影响及其机制。结果表明：晶粒细化抑制了孪晶，促进了非基滑移，使无织构合金的塑性变形从孪晶-位错滑移共主导转变为位错滑移主导；然而，在基底织构体系中，孪晶和基底滑移的持续优势表明，与无织构体系相比，孪晶的临界晶粒尺寸更低。在循环加载下，晶粒细化可以减轻无织构体系中去孪晶引起的非弹性卸载，降低基织构体系中的屈服不对称性。晶粒细化通过限制孪晶的可用空间和成核位置，减弱孪晶间的相互作用，减少孪晶的数量和种类。形变均匀性的增加使孪晶在峰值拉伸应变下的演化由增厚模式转变为以形核和扩展为主的模式，使再孪晶比初孪晶受到更强的抑制。织构增强了孪晶间的相互作用，强化了位错滑移的局部化，而晶粒的细化使位错滑移的分布更加均匀。累积位错产生的非均匀应力场反向调节孪晶活动，揭示了它们之间的耦合机制。这些发现为通过织构-晶粒尺寸协同设计强化和增韧镁合金提供了机理见解。

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引用次数: 0

Hierarchical relaxation governed by memory effect in azobenzene-based supramolecular photosensitive hydrogel 偶氮苯基超分子光敏水凝胶中由记忆效应控制的层次弛豫

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-26 DOI: 10.1016/j.mechmat.2025.105595

Xinyu Liu, Wei Rao, Junjun Shang, Xia Liu, Jing Zhang, Qingsheng Yang

Azobenzene (AZO)-based supramolecular photosensitive hydrogels exhibit great potential in biomedical and flexible electronics fields owing to their light-induced gel-sol transitions. To investigate the dynamic rheological mechanisms of these hydrogels before and after irradiation, we develop a fractional four-element rheological model that accounts for hierarchical relaxation governed by memory effects. This model incorporates multiscale microstructural dynamics, including segmental mobility, water molecular motions, single chain conformational changes, and network deformations, offering a new perspective on the rheological behavior. The model's validity is verified through quantitative simulations of storage and loss moduli for representative AZO-based hydrogel systems. Parameter analysis reveals that memory effects arising from complex micro-hierarchical structures determine the nonlinear frequency responses of storage/loss moduli. Furthermore, loss factor analysis reveals a key finding. The mismatch between hierarchical structural motions and external loads, which varies with frequency, regulates the governing microstructure during gel-sol transitions. This regulation causes a shift from network-dominated to segment/water molecule-dominated behaviors. As frequency increases, the transition changes from unidirectional to bidirectional. Time-domain analysis of the model also clarifies low-frequency response mechanisms. It shows that gel-sol transitions are driven by two concurrent mechanisms: modulation of interchain slippage and alteration of entanglement point number density. This study not only reveals dynamic mechanisms in photosensitive hydrogels, but also provides a predictive tool for precisely engineering their effect irradiation on rheological behaviors.

基于偶氮苯（AZO）的超分子光敏水凝胶由于其光诱导的凝胶-溶胶转变在生物医学和柔性电子领域显示出巨大的潜力。为了研究这些水凝胶在辐照前后的动态流变机制，我们开发了一个分数四元素流变模型，该模型考虑了由记忆效应控制的分层松弛。该模型结合了多尺度微观结构动力学，包括片段迁移率、水分子运动、单链构象变化和网络变形，为研究流变行为提供了新的视角。通过对具有代表性的偶氮基水凝胶体系的存储模量和损耗模量的定量模拟，验证了该模型的有效性。参数分析表明，由复杂微观层次结构引起的记忆效应决定了存储/损耗模的非线性频率响应。此外，损失因子分析揭示了一个关键的发现。层次结构运动和外部载荷之间的不匹配随频率变化，调节了凝胶-溶胶过渡过程中的控制微观结构。这种调节导致了从网络主导到片段/水分子主导行为的转变。随着频率的增加，转变由单向转变为双向。模型的时域分析也阐明了低频响应机理。结果表明，凝胶-溶胶的转变是由两种机制共同驱动的：链间滑移的调节和纠缠点密度的改变。该研究不仅揭示了光敏水凝胶的动力学机制，而且为精确设计其辐照对流变行为的影响提供了预测工具。

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引用次数: 0

A model of the human cornea as a hydrated, fluid-saturated medium 作为水合的、流体饱和介质的人体角膜模型

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-24 DOI: 10.1016/j.mechmat.2025.105586

Alessandro Giammarini, Anna Pandolfi

We introduce a new model of the human corneal stroma, regarded as a fluid-saturated continuum, able to describe surface flattening and thickness thinning observed in several pathological conditions. In contrast with more common approaches that describe the human cornea as a quasi-incompressible hyperelastic medium, eventually including micro-structured anisotropy and heterogeneity, here we focus on the multi-phase nature of the tissue, where the content of water reaches about 78% in weight. The study is motivated by the fact that, although purely mechanical continuum models have been demonstrated to be satisfactory and accurate at predicting physiological behaviors, they have not been able to capture the geometrical features of tissue degeneration clearly associated to a reduction of the fluid content in the stroma, such thinning and loss of curvature. Here, we model the cornea as a fully saturated mixture of a solid phase and a fluid phase, in principle without restricting the formulation to specific assumptions on the actual inhomogeneous nature of both phases. The focus of the study is to understand whether a multiphysics model is capable of explaining, in terms of fluid flux imbalance, such as ectasia and keratoconus. As a first attempt in this direction, we make simple isotropic constitutive assumptions for both phases.

我们介绍了一种新的人类角膜基质模型，被认为是一个流体饱和的连续体，能够描述在几种病理条件下观察到的表面变平和厚度变薄。与将人类角膜描述为准不可压缩超弹性介质的更常见方法相反，最终包括微观结构的各向异性和非均质性，在这里我们关注组织的多相性质，其中水的含量达到约78%的重量。这项研究的动机是，尽管纯机械连续体模型已被证明在预测生理行为方面是令人满意和准确的，但它们无法捕捉到与基质中液体含量减少（如变薄和曲率丧失）明显相关的组织变性的几何特征。在这里，我们将角膜建模为固体相和流体相的完全饱和混合物，原则上不限制公式对两相实际非均质的具体假设。本研究的重点是了解多物理场模型是否能够解释流体通量不平衡，如扩张和圆锥角膜。作为这个方向上的第一次尝试，我们对这两个相做了简单的各向同性本构假设。

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引用次数: 0

Failure induced by a dynamic anti-plane slip pulse in flexoelectric materials 柔性电材料中动态反平面滑移脉冲引起的破坏

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-24 DOI: 10.1016/j.mechmat.2025.105587

A.E. Giannakopoulos , Ch. Knisovitis , Ares J. Rosakis

Failure models related to dynamic slip pulses have been extensively used in seismology as for example the models of Yoffe (1952), Freund (1979) and Rice et al. (2005). The models of Freund and Rice et al. describe a finite mode III crack of constant length that propagates at constant (subsonic) rapture velocity

V < c_{s}

whereas the trailing edge leaves behind a dislocation as a permanent irreversible deformation. The driving forces of such models are far field shear tractions, whereas at the same time a frictional traction acts along the crack line due to the contacting crack surfaces that allow only shear slip. Yoffe's model on the other hand assumes a complete healing and thus rendering the trailing edge to behave as a crack-tip, just as the leading edge does. An important difference between Freund's and Rice et al.’s models is that Rice et al.’s model includes additionally the effect of the static friction, whereas Freund's model incorporates only the kinetic friction. The present work extends the models of Freund and Rice et al. to flexoelectric materials under steady state anti-plane loading. The problem is formulated so that the mechanical problem is casted as a strain gradient elasticity problem. Our analytical results point out that the well known influence of the cohesive zone in classic dynamic fracture can be established in the context of flexoelectricity (and strain gradient elasticity) without the need for a cohesive zone. An interesting analogy with the Rice et al. analysis can be established and, in this way, a flexoelectric material can be used for laboratory work in earthquake and friction studies.

与动态滑动脉冲相关的破坏模型在地震学中得到了广泛的应用，例如Yoffe（1952）、Freund（1979）和Rice等人（2005）的模型。Freund和Rice等人的模型描述了以恒定（亚音速）断裂速度V<；cs传播的定长有限型III型裂纹，而后缘留下位错作为永久不可逆变形。这种模型的驱动力是远场剪切牵引力，而同时，由于接触的裂纹表面只允许剪切滑移，沿着裂纹线起摩擦牵引力作用。另一方面，Yoffe的模型假设完全愈合，从而使后缘表现为裂纹尖端，就像前缘一样。Freund的模型和Rice等人的模型之间的一个重要区别是Rice等人的模型额外包括了静摩擦的影响，而Freund的模型只包含了动摩擦的影响。本工作将Freund和Rice等人的模型扩展到稳态反平面载荷下的柔性电材料。将该问题公式化，使力学问题化为应变梯度弹性问题。我们的分析结果指出，经典动态断裂中众所周知的黏聚带影响可以在柔电（和应变梯度弹性）的背景下建立，而不需要黏聚带。与Rice等人的分析可以建立一个有趣的类比，通过这种方式，柔性电材料可以用于地震和摩擦研究的实验室工作。

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引用次数: 0

Study on the dynamics evaluation method of thermal-friction coupled sensitivity for typical high-energy explosives 典型高能炸药热摩擦耦合灵敏度动力学评价方法研究

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-23 DOI: 10.1016/j.mechmat.2025.105583

Pu Zhao , Bao Rong , Jiawen Yang , Mingming Shi , Xiaoli Dong , Xiaoting Rui , Zixuan Pan , Chao Li

Heat and friction are critical factors that contribute to the ignition and detonation of energetic materials. The existing friction sensitivity testing method faces limitations, including high risk, large testing volumes, long cycles, high costs, and significant environmental influences. These limitations make it difficult to quickly analyze and evaluate the friction safety of energetic materials through experiments alone. For typical high-energy explosives, this study examines their mechanical behavior under friction and the impact of chemical reactions on the temperature field. Based on finite element theory, chemical reaction kinetics, and viscoelastic-plastic mechanics, the conservation equations of mass, momentum, and energy are first established. A viscoelastic-plastic statistical crack constitutive model and the Arrhenius equation are then introduced, ultimately forming a thermal-friction coupled sensitivity dynamic model. Friction sensitivity tests are conducted under different ambient temperatures using a self-developed thermal-friction coupled sensitivity testing device. The simulation results show good agreement with the experimental data, with an average error of 3.74 %. The effects of friction conditions on friction sensitivity are analyzed, revealing that increases in friction load, friction coefficient, initial material temperature, and motion speed all lead to higher sensitivity. Based on the response surface methodology, a rapid prediction model for the friction sensitivity threshold of typical explosives under different temperatures is established, with an average prediction error of 6.04 %. This study enables rapid prediction and analysis of the friction sensitivity of high-energy explosives under different temperature conditions. It holds significant value for evaluating the friction safety of high-energy explosives during production, transportation, storage, and application. It provides theoretical guidance for preventing accidental ignition or explosion caused by external friction.

热和摩擦是导致含能材料着火和爆炸的关键因素。现有的摩擦灵敏度测试方法存在风险高、测试量大、周期长、成本高、环境影响大等局限性。这些限制使得仅通过实验就难以快速分析和评价含能材料的摩擦安全性。对于典型的高能炸药，研究了其在摩擦作用下的力学行为和化学反应对温度场的影响。基于有限元理论、化学反应动力学和粘弹塑性力学，首先建立了质量、动量和能量守恒方程。引入粘弹塑性统计裂纹本构模型和Arrhenius方程，最终形成热-摩擦耦合敏感性动力学模型。采用自行研制的热-摩擦耦合灵敏度试验装置进行了不同环境温度下的摩擦灵敏度试验。仿真结果与实验数据吻合较好，平均误差为3.74%。分析了摩擦条件对摩擦灵敏度的影响，发现摩擦载荷、摩擦系数、初始材料温度和运动速度的增加都会导致摩擦灵敏度的提高。基于响应面法，建立了不同温度下典型炸药摩擦敏感阈值的快速预测模型，平均预测误差为6.04%。本研究能够快速预测和分析不同温度条件下高能炸药的摩擦敏感性。这对评价高能炸药在生产、运输、储存和使用过程中的摩擦安全性具有重要价值。为防止外摩擦引起的意外着火或爆炸提供理论指导。

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引用次数: 0

Stability of extrinsic cohesive-zone model with penalty-based contact in explicit dynamic fragmentation simulations 显式动态破碎模拟中基于惩罚接触的外部黏结带模型的稳定性

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-22 DOI: 10.1016/j.mechmat.2025.105581

Thibault Ghesquière-Diérickx, Jean-François Molinari, Guillaume Anciaux

Dynamic fragmentation simulations are essential for predicting material response at high strain rates, yet explicit dynamic simulations that combine an extrinsic cohesive-zone model (CZM) with penalty-based contact often exhibit severe instabilities. In a two-dimensional benchmark, we observe exponential energy growth and resulting artificial fragmentation under standard contact penalty settings and time step choices, which motivates a systematic analysis of instability sources. Three mechanisms are isolated and quantified: (i) diverging initial cohesive stiffness, which constrains the stable time step; (ii) discontinuous stiffness jumps at the cohesive–contact interface; and (iii) discontinuity introduced by cohesive softening. Analytical error estimates, phase-space diagnostics, and energy growth metrics reveal that repeated cohesive–contact switching can accumulate small per-step energy errors into long-term energy drift. Within the explored parameter space, maintaining stability requires time steps well below the usual limit. To mitigate these energy artifacts, we assess an adaptive penalty strategy that ties the contact stiffness to the evolving cohesive stiffness. This modification eliminates the discontinuity and restores energy conservation, but it allows larger interpenetration, making it suitable as a diagnostic rather than a definitive remedy. Overall, our study identifies the root causes of unphysical energy drift and demonstrates that penalty-based contact is not a viable approach for long-term, energy-consistent fragmentation simulations with physically meaningful fragment statistics.

动态破碎模拟对于预测高应变率下的材料响应是必不可少的，然而，将外在黏结区模型（CZM）与基于惩罚的接触相结合的显式动态模拟往往表现出严重的不稳定性。在二维基准中，我们观察到在标准接触惩罚设置和时间步长选择下的指数能量增长和导致的人工破碎，这激发了对不稳定源的系统分析。本文对三种机制进行了分离和量化：(1)初始内聚刚度发散，约束了稳定时间步长；（ii）黏性-接触界面处的不连续刚度跳跃；(3)黏性软化引起的不连续。分析误差估计、相空间诊断和能量增长指标表明，重复的内聚接触切换可以将小的每步能量误差累积成长期的能量漂移。在探索的参数空间内，保持稳定性需要的时间步长远低于通常的限制。为了减轻这些能量伪影，我们评估了一种自适应惩罚策略，该策略将接触刚度与不断变化的内聚刚度联系起来。这种改进消除了不连续性并恢复了能量守恒，但它允许更大的穿透，使其适合作为诊断而不是决定性的补救措施。总的来说，我们的研究确定了非物理能量漂移的根本原因，并表明基于惩罚的接触不是一个可行的方法，对于长期的，能量一致的碎片模拟，具有物理上有意义的碎片统计。

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引用次数: 0

Simple models of viscoelastic fibrillar adhesion between rigid rough surfaces 刚性粗糙表面间粘弹性纤维粘附的简单模型

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-22 DOI: 10.1016/j.mechmat.2025.105582

X.M. Liang , G.F. Wang , M. Ciavarella

Adhesive interactions between rigid rough surfaces commonly occur in biological attachment systems and bioinspired adhesives, often facilitated by fibrillar contact structures composed of soft, viscoelastic materials. In this study, we analytically investigate the behavior of such systems using two distinct models for detachment criteria: the Schapery model, which assumes a rate-independent bond energy and failure initiated by defects; and the Shrimali–Lopez-Pamies (SLP) model, which assumes failure occurs at a critical fibril elongation. The model gives reduction of pull-off pressure with increasing amplitude of roughness, although not as strongly as in the elastic case and further depending on the loading protocols: starting from a fully relaxed state leads to the highest enhancements of pull-off pressure. These findings provide insights into biological adhesion mechanisms and offer design principles for engineered adhesive systems capable of functioning on rough, rigid substrates.

刚性粗糙表面之间的粘合相互作用通常发生在生物附着系统和仿生粘合剂中，通常由柔软粘弹性材料组成的纤维接触结构促进。在本研究中，我们使用两种不同的分离准则模型分析研究了这类系统的行为：Schapery模型，它假设一个速率无关的键能和由缺陷引起的破坏；以及Shrimali-Lopez-Pamies （SLP）模型，该模型假设在临界纤维伸长时发生破坏。该模型给出了拉拔压力随着粗糙度幅度的增加而减小，尽管不像弹性情况那样强烈，并且进一步取决于加载协议：从完全松弛状态开始导致拉拔压力的最大增强。这些发现提供了对生物粘附机制的见解，并为能够在粗糙，刚性基材上起作用的工程粘附系统提供了设计原则。

引用次数: 0

Correlation function-dependent bounds and Mori–Tanaka effective stiffness estimates: A numerical validation study on biphase transversely isotropic composites 相关函数依赖边界和Mori-Tanaka有效刚度估计：双相横向各向同性复合材料的数值验证研究

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-20 DOI: 10.1016/j.mechmat.2025.105580

Anna Gorgogianni, Chloé Arson

This paper investigates the validity of two different analytical homogenization methods: the Mori–Tanaka mean-field theory and Milton’s correlation function-dependent bounds. We focus on biphase linearly elastic transversely isotropic composites. The composites consist of a matrix reinforced with long fibers of either circular or irregular cross section shapes formed by overlapping circles, with different degrees of radius polydispersity. The Mori–Tanaka effective stiffness depends on the phase moduli, volume fractions, and on a few geometric descriptors of the fibers that can be readily evaluated. In contrast, the computation of Milton’s bounds requires finer knowledge of the microstructure, in terms of two and three-point spatial correlation functions, which are not always analytically tractable. We thus consider very specific random microstructure geometries with known correlation functions. The effective moduli estimates of the two methods are validated against the results of numerical homogenization using the finite element method. It is shown that the Mori–Tanaka predictions of the effective transverse bulk modulus are significantly more accurate than those of the transverse and axial shear moduli. In addition, the predictions of the scheme generally deteriorate with an increasing fiber volume fraction. By contrast, the average of Milton’s upper and lower bounds provides a highly accurate estimate for all three independent effective moduli, without any limitation on the fiber concentration. This study highlights the indisputable effect of the spatial correlation functions on the effective properties of composites, and aspires to pave the way towards the development of more predictive, correlation function-dependent homogenization methods.

本文研究了两种不同的解析均匀化方法的有效性：Mori-Tanaka平均场理论和Milton相关函数依赖界。我们主要研究双相线弹性横向各向同性复合材料。复合材料由长纤维增强的基体组成，这些长纤维的横截面形状可以是圆形的，也可以是不规则的，由重叠的圆组成，具有不同程度的半径多分散性。Mori-Tanaka有效刚度取决于相位模量、体积分数和一些易于评估的纤维几何描述符。相比之下，弥尔顿边界的计算需要更精细的微观结构知识，以两点和三点空间相关函数的形式，这在分析上并不容易处理。因此，我们考虑具有已知相关函数的非常具体的随机微观结构几何。通过有限元数值均匀化结果验证了两种方法的有效模估计。结果表明，Mori-Tanaka对有效横向体积模量的预测比横向和轴向剪切模量的预测要准确得多。此外，该方案的预测通常随着纤维体积分数的增加而恶化。相比之下，米尔顿上限和下限的平均值为所有三个独立的有效模量提供了一个非常准确的估计，而不受光纤浓度的任何限制。本研究强调了空间相关函数对复合材料有效性能的无可争议的影响，并希望为开发更具预测性的、依赖于相关函数的均质化方法铺平道路。

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引用次数: 0

Crystal plasticity approach of necking in stretching rods 拉伸杆缩颈的晶体塑性方法

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-19 DOI: 10.1016/j.mechmat.2025.105578

Emilie Lam , Jean-Lin Dequiedt

The fragmentation of a ductile metal rod under dynamic extension simulating an expanding ring is initiated by multiple necking. This is a structural instability justified by the mechanics at the macroscopic scale. However, the computation of the plastic flow at the mesoscale, i.e. the one of the crystal aggregate, applying crystal plasticity modelling inside grains provides new insights on both the overall process and the plastic slip activity in the most developed necks, potentially controlling their subsequent failure. Full field simulations of FCC copper polycrystal rods show a large scatter of inter-neck spacing and neck intensity, in contrast with the macroscopic concept of a dominant periodic instability mode. Scatter of the neck number and positions for different grain and crystal orientation instances is also significant even though they have no clear connection with initial grain-scale strain map. The necking pattern is next found to evolve with subsequent neck competition and arrest of the less pronounced necks consistently with a Mott type obscuration mechanism. The number of active necks in the late stage is nevertheless weakly sensitive to grain structure. Furthermore, when strain concentrates in the most developed necks, plastic slip activity takes place in a narrow zone of elongated grains submitted to very high plastic deformations. These grains undergo significant lattice rotations and thus mobilize continuously evolving sets of slip systems. Owing to slip system interactions, critical shear stresses still increase and saturate in the very late localization stage, together with the development of a marked texture. In-grain strain localization, which is a potential seed of neck failure, is addressed by using a finite deformation linear stability analysis. Band type localization modes are displayed with time increasing growth rate. In the late stage, such modes involve both elastic and plastic deformation components and develop almost perpendicularly to the stretching direction. They also induce significant lattice rotation and may trigger the formation of laminated subgrain structures.

模拟膨胀环动态拉伸作用下延展性金属杆的断裂是由多重颈缩引起的。这是一种结构不稳定性，在宏观尺度上被力学证明是合理的。然而，在中尺度，即晶体集合体的塑性流动计算中，应用颗粒内部的晶体塑性建模，为研究整体过程和最发达颈部的塑性滑移活动提供了新的见解，从而有可能控制其后续破坏。FCC铜多晶棒的现场模拟结果表明，颈间间距和颈强度存在较大的散射，这与宏观上周期性不稳定模式占主导地位的概念形成了对比。在不同晶粒和晶体取向的情况下，颈数和颈位的离散性也很显著，尽管它们与初始晶粒尺度应变图没有明确的联系。接下去，我们发现颈颈模式随着随后的颈部竞争和不太明显的颈部被抑制而进化，这与莫特类型的模糊机制一致。然而，后期的活跃颈数对晶粒结构的敏感性较弱。此外，当应变集中在最发达的颈部时，塑性滑移活动发生在细长晶粒的狭窄区域，这些细长晶粒屈服于非常高的塑性变形。这些颗粒经历了显著的晶格旋转，从而调动了不断发展的滑移系统。由于滑移系统的相互作用，临界剪应力在极晚局部化阶段仍然增加并达到饱和，同时形成明显的织构。采用有限变形线性稳定性分析方法解决了可能导致颈部破坏的粒内应变局部化问题。波段型定位模式显示随时间增长的增长率。在后期，这些模态包括弹性和塑性变形分量，并且几乎垂直于拉伸方向发展。它们还会引起显著的晶格旋转，并可能引发层压亚晶结构的形成。

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引用次数: 0

Experimental and theoretical studies on the effect of initial curvature of substrate in thin film peeling 薄膜剥离过程中衬底初始曲率影响的实验与理论研究

IF 4.1 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials

Pub Date : 2025-12-19 DOI: 10.1016/j.mechmat.2025.105576

Qingning Yang, Yueguang Wei

Classic peeling theories provide a baseline for understanding interfacial adhesion but are limited to flat substrates where the initial curvature is zero. This study extends the analysis to the more general case of curved surfaces by investigating how a substrate's initial curvature governs thin film peeling. We first present physical peeling tests on cylindrical substrates with varying initial curvatures. These experiments reveal a key departure from flat-surface behavior: the peeling force is not constant but systematically changes with the crack tip position. To explain this phenomenon, we derive a series expansion model from energy principles that quantitatively links the peeling force to the local initial curvature and peeling angle. The model's predictions show excellent agreement with our experimental results and are further validated by finite element (FE) simulations for substrates with parabolic and cosine-shaped profiles. A central finding is that the peeling response is predominantly linear for substrates with small initial curvature but becomes highly non-linear as the initial curvature increases. This non-linear behavior is accurately captured by the higher-order terms of our series solution, demonstrating its effectiveness in predicting the mechanics of peeling from substrates with arbitrary initial curvature.

经典的剥离理论为理解界面粘附提供了一个基线，但仅限于初始曲率为零的平坦基材。本研究通过研究衬底的初始曲率如何控制薄膜剥离，将分析扩展到更一般的曲面情况。我们首先对具有不同初始曲率的圆柱形衬底进行物理剥离试验。这些实验揭示了与平面行为的一个关键差异：剥离力不是恒定的，而是随着裂纹尖端位置系统地变化。为了解释这一现象，我们从能量原理推导出一个级数展开模型，定量地将剥离力与局部初始曲率和剥离角度联系起来。该模型的预测结果与实验结果非常吻合，并通过对抛物线型和余弦型衬底的有限元模拟得到了进一步的验证。一个中心的发现是，剥落响应主要是线性的基片与小的初始曲率，但成为高度非线性的初始曲率增加。我们的级数解的高阶项准确地捕获了这种非线性行为，证明了它在预测具有任意初始曲率的基片剥离力学方面的有效性。

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