Eigenstrain formulation of boundary integral equations for modeling particle-reinforced composites

被引：16

作者：

Ma, Hang ^{[1
]}

Yan, Cheng ^{[2
]}

Qin, Qing-Hua ^{[3
]}

机构：

[1] Shanghai Univ, Coll Sci, Dept Mech, Shanghai 200444, Peoples R China

[2] Queensland Univ Technol, Sch Engn Syst, Brisbane, Qld 4001, Australia

[3] Australian Natl Univ, Dept Engn, Canberra, ACT 0200, Australia

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2009年 / 33卷 / 03期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Inhomogeneity; Equivalent inclusion; Eigenstrain; Eshelby tensor; Representative volume element; Boundary integral equation; INCLUSION PROBLEMS; ELASTIC FIELD; SHAPES; MODULI;

D O I：

10.1016/j.enganabound.2008.06.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A novel computational model is presented using the eigenstrain formulation of the boundary integral equations for modeling the particle-reinforced composites. The model and the solution procedure are both resulted intimately from the concepts of the equivalent inclusion of Eshelby with eigenstrains to be determined in an iterative way for each inhomogeneity embedded in the matrix. The eigenstrains of inhomogeneity are determined with the aid of the Eshelby tensors, which can be readily obtained beforehand through either analytical or numerical means. The solution scale of the inhomogeneity problem with the present model is greatly reduced since the unknowns appear only on the boundary of the solution domain, The overall elastic properties are solved using the newly developed boundary point method for particle-reinforced inhomogeneous materials over a representative volume element with the present model. The effects of a variety of factors related to inhomogeneities on the overall properties of composites as well as on the convergence behaviors of the algorithm are studied numerically including the properties and shapes and orientations and distributions and the total number of particles, showing the validity and the effectiveness of the proposed computational model. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：410 / 419

页数：10

共 23 条

[1]

Brebbia C.A., 1984, BOUNDARY ELEMENT TEC

[2] Simple algebraic approximations for the effective elastic moduli of cubic arrays of spheres [J].

Cohen, I .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2004, 52 (09) :2167-2183

[3] Micromechanics of inelastic composites with misaligned inclusions: Numerical treatment of orientation [J].

Doghri, I ;

Tinel, L .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (13-16) :1387-1406

[4] Effective elastic properties of doubly periodic array of inclusions of various shapes by the boundary element method [J].

Dong, C. Y. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (25-26) :7919-7938

[5] Boundary element implementation of doubly periodic inclusion problems [J].

Dong, C. Y. ;

Lee, Kang Yong .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2006, 30 (08) :662-670

[6] Boundary element analysis of infinite anisotropic elastic medium containing inclusions and cracks [J].

Dong, CY ;

Lee, KY .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (06) :562-569

[7] Regularized domain integral formulation for inclusion problems of various shapes by equivalent inclusion method [J].

Dong, CY ;

Cheung, YK ;

Lo, SH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (31) :3411-3421

[8] THE ELASTIC FIELD OUTSIDE AN ELLIPSOIDAL INCLUSION [J].

ESHELBY, JD .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 252 (1271) :561-569

[9] THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].

ESHELBY, JD .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396

[10] A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin [J].

Gurtin, ME .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2004, 52 (11) :2545-2568

← 1 2 3 →