Analytical solutions of 2-D problem for cracked thermoelastic fiber-reinforced anisotropic material

被引：2

作者：

Abbas, Ibrahim A. ^{[1
,2
]}

机构：

[1] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Dept Math, Jeddah, Saudi Arabia

来源：

THEORETICAL AND APPLIED FRACTURE MECHANICS | 2017年 / 91卷

关键词：

Generalized thermoelastic theory; Fiber-reinforced material; Crack; Eigenvalue approach; MODE-I CRACK; EIGENVALUE APPROACH; MAGNETIC-FIELD; GENERALIZED THERMOELASTICITY; MAGNETOTHERMOELASTIC MEDIUM; PLANE-WAVES; SPACE;

D O I：

10.1016/j.tafmec.2017.03.009

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this article, the analytical solution of the 2D problem for cracked thermoelastic fiber-reinforced anisotropic material is investigated. The boundary of the crack is due to a prescribed temperature and stress distribution. In the case of one relaxation time, the generalized thermoelastic theory has been employed. In the transformed domain using exponential Fourier and Laplace transformations, the eigenvalues approach are used to obtain the analytical solutions. The inverse of Fourier transform has been obtained analytically. Comparisons with expected results by the absence and presence of reinforcement have been presented. Results were verified numerically and are represented graphically. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：31 / 36

页数：6

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