3D crack analysis in functionally graded materials |
| |
| Authors: | Ch. Zhang M. Cui J. Wang X.W. Gao J. Sladek V. Sladek |
| |
| Affiliation: | aDepartment of Civil Engineering, University of Siegen, D-57068 Siegen, Germany;bFaculty of Vehicle Engineering and Mechanics, Dalian University of Technology, 116024 Dalian, PR China;cDepartment of Engineering Mechanics, Southeast University, 210096 Nanjing, PR China;dDepartment of Mechanics, Institute of Construction and Architecture, Slovak Academy of Sciences, Slovakia |
| |
| 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. |
| |
| Keywords: | Numerical methods Functionally graded materials Crack analysis Boundary element method Meshless method Stress intensity factors |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
