A new boundary integral method for investigating the roughness scaling law of heterogeneous interfacial fracture

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2025-03-01 Epub Date: 2025-01-22 DOI:10.1016/j.enganabound.2025.106131

Wei Du , Xiaohua Zhao , Wei Jiang , Yongcheng Guo , Jinping Fu , Zhen Wang

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Abstract

A new semi-analytical and semi-numerical approach is proposed to investigate the scaling law of in-plane roughness due to the fracture of a heterogeneous interface involving spatial correlation of disorders. The model is considered as a composite structure composed of two cantilever rectangular plates bonded with an interfacial layer. Based on the theory of solid mechanics, the dynamic process of interfacial fracture is derived analytically and reduced to two coupled integral equations, which further become a system of linear algebraic equations after discretizing the interface to a set of prismatic elements. Numerical simulations present that the morphology of interfacial fracture fronts in all cases show self-affine scaling properties with the roughness exponent in the range (0.36,0.70), depending on stiffness ratio of laminate structure and heterogeneous properties of interface. Remarkably, the present results cover most of the exponent values observed in previous experiments and provides strong evidence that it is the microstructure and heterogeneous properties that mainly control the roughness.

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研究非均质界面裂缝粗糙度标度规律的边界积分新方法

提出了一种新的半解析半数值方法来研究非均质界面断裂引起的面内粗糙度的标度规律。该模型被认为是由两个带有界面层的悬臂矩形板组成的复合结构。基于固体力学理论，对界面断裂动力学过程进行了解析推导，并将其简化为两个耦合积分方程，将界面离散为一组棱柱元后，进一步转化为一个线性代数方程组。数值模拟结果表明，根据层合结构刚度比和界面非均质性的不同，所有情况下界面断口前缘形貌均表现出自仿射标度，粗糙度指数在（0.36 ~ 0.70）范围内。值得注意的是，本研究结果涵盖了以往实验中观察到的大部分指数值，并提供了强有力的证据，表明微观结构和非均质性是控制粗糙度的主要因素。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.