Mesh-free analysis of cracks in isotropic functionally graded materials |
| |
Authors: | B.N. Rao |
| |
Affiliation: | College of Engineering, The University of Iowa, 2140 Seamans Center, Iowa City, IA 52242, USA |
| |
Abstract: | This paper presents a Galerkin-based meshless method for calculating stress-intensity factors (SIFs) for a stationary crack in two-dimensional functionally graded materials of arbitrary geometry. The method involves an element-free Galerkin method (EFGM), where the material properties are smooth functions of spatial coordinates and two newly developed interaction integrals for mixed-mode fracture analysis. These integrals can also be implemented in conjunction with other numerical methods, such as the finite element method (FEM). Five numerical examples including both mode-I and mixed-mode problems are presented to evaluate the accuracy of SIFs calculated by the proposed EFGM. Comparisons have been made between the SIFs predicted by EFGM and available reference solutions in the literature, generated either analytically or by FEM using various other fracture integrals or analyses. A good agreement is obtained between the results of the proposed meshless method and the reference solutions. |
| |
Keywords: | Crack Functionally graded materials Element-free Galerkin method Stress-intensity factor J-integral Interaction integral |
本文献已被 ScienceDirect 等数据库收录! |
|