Singular integral equations for multiple cracks in a heated plate subjected normal stress

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-04-16 DOI:10.1007/s00707-025-04323-8

S. K. Zhuang, N. M. A. Nik Long, K. B. Hamzah, N. Senu

引用次数: 0

Abstract

In this paper, the interaction of multiple cracks in an infinite plate subjected to remote stress and heat flux is investigated. The problem is formulated as two sets of singular integral equations, corresponding to the heat flux problem and the stress problem, respectively. The equations for heat flux is first solved for the unknown temperature jump function, which later be used to solve for the crack opening displacement function in the heat stress equation. This method does not require a direct solution of the heat flux problem. Subsequently, the stress intensity factors for various double-crack configurations are computed and presented.

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受法向应力加热板中多裂纹的奇异积分方程

本文研究了受远端应力和热流影响的无限大板中多裂纹的相互作用。该问题被表述为两组奇异积分方程，分别对应于热流问题和应力问题。首先求解热通量方程中未知的温度跳变函数，然后求解热应力方程中的裂纹张开位移函数。这种方法不需要直接求解热流问题。随后，计算并给出了各种双裂纹形态下的应力强度因子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.