A partially debonded circular elastic inhomogeneity with a liquid slit inclusion occupying the debonded section under uniform heat flux and temperature change

IF 2.9 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-04-22 DOI:10.1007/s00707-025-04330-9

Xu Wang, Peter Schiavone

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Abstract

We study the two-dimensional heat conduction and thermoelastic problems associated with a circular isotropic elastic inhomogeneity partially debonded from an infinite isotropic elastic matrix subjected to uniform remote in-plane heat flux and uniform temperature change. The debonded portion of the circular interface is occupied by a thermally insulated and incompressible liquid slit inclusion. Closed-form solutions to the two problems are derived by solving two Riemann-Hilbert problems with discontinuous coefficients. The two unknown constants appearing in the solution of the thermoelastic problem are determined by imposing the incompressibility condition of the liquid inclusion. Elementary expressions for the internal uniform hydrostatic stress field within the liquid slit inclusion, the average mean stress within the circular elastic inhomogeneity, the rigid body rotation at the center of the circular inhomogeneity and the two complex stress intensity factors at the two tips of the debonded portion are obtained. A uniform temperature change will not induce any singular stress field and the entire circular interface remains perfect.

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在均匀热流和温度变化下，部分脱粘的圆形弹性不均匀性，其中液体狭缝包裹体占据了脱粘部分

本文研究了受均匀远面热流和均匀温度变化影响的圆形各向同性弹性不均匀性的二维热传导和热弹性问题。圆形界面的剥离部分由隔热且不可压缩的液体狭缝包裹体占据。通过求解两个系数不连续的黎曼-希尔伯特问题，得到了这两个问题的闭型解。在热弹性问题解中出现的两个未知常数是通过施加液体包裹体的不可压缩条件来确定的。得到了液缝包体内部均匀静水应力场的初等表达式、圆形弹性非均匀性内的平均应力、圆形非均匀性中心的刚体旋转以及脱粘部分两端的两个复应力强度因子。均匀的温度变化不会产生奇异应力场，整个圆形界面保持完美。

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.