Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2011-02-01

Journal: ESIS Workshop on Computational Methods of Fracture Mechanics

Included Journals: CPCI-S、EI、SCIE

Volume: 78

Issue: 3,SI

Page Number: 585-604

ISSN: 0013-7944

Key Words: Numerical methods; Functionally graded materials; Crack analysis; Boundary element method; Meshless method; Stress intensity factors

Abstract: Elastostatic crack analysis in three-dimensional, continuously non-homogeneous, isotropic and linear elastic functionally graded materials and structures is presented in this paper. A boundary-domain-integral equation formulation is applied for this purpose, which uses the elastostatic fundamental solutions for homogeneous, isotropic and linear elastic materials and involves a domain-integral due to the material's non-homogeneity. To avoid displacement gradients in the domain-integral, normalized displacements are introduced. The domain-integral is transformed into boundary-integrals over the global boundary of the cracked solids by using the radial integration method. A meshless scheme is developed, which requires only the conventional boundary discretization and additional interior nodes instead of interior cells or meshes. Numerical examples for three-dimensional crack problems in continuously non-homogeneous, isotropic and linear elastic FGMs are presented and discussed, to show the effects of the material gradation on the crack-opening-displacements and the stress intensity factors. (C) 2010 Elsevier Ltd. All rights reserved.