A new integral formula for the variation of matrix elastic energy of heterogeneous materials

被引：1

作者：

Dong, C. Y. ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Mech, Sch Aerosp Engn, Beijing 100081, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 343卷

基金：

中国国家自然科学基金;

关键词：

Integral formula; Elastic energy; Heterogeneous materials; Boundary element method;

D O I：

10.1016/j.cam.2018.04.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work presents a new integral formula for the variation of matrix elastic energy caused by the inclusion, which only contains the displacements on the interface between inclusion and matrix. Compared with the existing formula, the present formula avoids the corner point problems in the implementation of the boundary element method (BEM) so that it can conveniently deal with the complex shape inclusion problems. In numerical calculation, 3-node (8-node) quadratic boundary elements for two (three) dimensional problems are used to discretize the interface between inclusion and matrix. Numerical results are compared with the analytical solutions available. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：635 / 642

页数：8

共 6 条

[1] Brebbia C.A., 1992, Boundary elements
[2] Christensen R. M., 1979, Mechanics of composite materials
[3] An interface integral formulation of heat energy calculation of steady state heat conduction in heterogeneous media
Dong, C. Y.
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2015, 90 : 314 - 322
[4] A new integral equation formulation of two-dimensional inclusion-crack problems
Dong, CY
Lee, KY
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (18-19) : 5010 - 5020
[5] Mal AK, 1991, DEFORMATION ELASTIC
[6] Sadd MH, 2009, ELASTICITY: THEORY, APPLICATIONS, AND NUMERICS, 2ND EDITION, P1

← 1 →