Paper Title:
Fracture Mechanics Analysis of 2-D FGMs by a Meshless BEM
  Abstract

This paper presents a fracture mechanics analysis in continuously non-homogeneous, isotropic, linear elastic and functionally graded materials (FGMs). A meshless boundary element method (BEM) is developed for this purpose. Young’s modulus of the FGMs is assumed to have an exponential variation, while Poisson’s ratio is taken as constant. Since no simple fundamental solutions are available for general FGMs, fundamental solutions for homogeneous, isotropic and linear elastic solids are used in the present BEM, which contains a domain-integral due to the material non-homogeneity. Normalized displacements are introduced to avoid displacement gradients in the domain-integral. The domain-integral is transformed into a boundary integral along the global boundary by using the radial integration method (RIM). To approximate the normalized displacements arising in the domain-integral, basis functions consisting of radial basis functions and polynomials in terms of global coordinates are applied. Numerical results are presented and discussed to show the accuracy and the efficiency of the present meshless BEM.

  Info
Periodical
Key Engineering Materials (Volumes 324-325)
Edited by
M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz
Pages
1165-1172
DOI
10.4028/www.scientific.net/KEM.324-325.1165
Citation
C. Z. Zhang, X. W. Gao, J. Sladek, V. Sladek, "Fracture Mechanics Analysis of 2-D FGMs by a Meshless BEM", Key Engineering Materials, Vols. 324-325, pp. 1165-1172, 2006
Online since
November 2006
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: L.S. Miers, J.C.F. Telles
Abstract:This work aims at introducing the concept of the numerical Green’s function (NGF) idea for elastostatic fracture mechanics using the...
85
Authors: Jing Wang, Xiao Wei Gao, Chuan Zeng Zhang
Abstract:This paper presents an elastostatic crack analysis in three-dimensional (3D), isotropic, functionally graded and linear elastic solids. A...
881
Authors: Jyun Yong Jhan, Chao Shi Chen, Chia Huei Tu, Chien Chung Ke
Abstract:This paper presents a single-domain boundary element method (BEM) for linear elastic fracture mechanics analysis in the two-dimensional...
1044
Authors: Karsten Wippler, Meinhard Kuna
Abstract:A general purpose direct BEM code has been developed for three-dimensional crack problems in piezoelectric structures. Special 3D...
363