文献类型：期刊文献

英文题名：An insulated compressible liquid inclusion of arbitrary shape under uniform heat flux

作者：Ardeshiri Jouneghani, Romina[1]; Wang, Xu[2]; Schiavone, Peter[1]

机构：[1] Department of Mechanical Engineering, Innovation Centre for Engineering, University of Alberta, 10-203Donadeo, Edmonton, AB, T6G 1H9, Canada; [2] School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

年份：2026

卷号：77

期号：1

外文期刊名：Zeitschrift fur Angewandte Mathematik und Physik

收录：EI(收录号：20255119722157)

语种：英文

外文关键词：Compressibility of liquids - Computation theory - Functional analysis - Geometry - Linear equations - Matrix algebra - Stresses - Thermoelasticity

摘要：We derive a closed-form solution to the two-dimensional thermoelastic problem of an insulated compressible liquid inclusion of arbitrary shape embedded in an infinite isotropic elastic matrix subjected to uniform remote heat flux. When the mapping function which maps the exterior of the liquid inclusion onto the exterior of the unit circle in the image plane contains an arbitrary number N+1 of terms, a modified form of analytic continuation leads to a set of 2N-1 coupled linear algebraic equations with quite simple structure. Solving this set of equations allows us to completely determine the internal uniform hydrostatic stress field within the liquid inclusion and the thermoelastic field in the matrix. We apply our results to a variety of different inclusion shapes including two types of deloid, an equilateral triangle, a square and a rectangle to examine the influence of geometry, liquid compressibility, direction of heat flux and the number of terms used in the mapping function on the resulting stress distributions. ? The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.