Journal article
A mode decoupling continuum shape sensitivity method for fracture analysis of functionally graded materials
Computer methods in applied mechanics and engineering, Vol.195(44-47), pp.5962-5982
2006
DOI: 10.1016/j.cma.2005.09.015
Abstract
In this paper new mode decoupling continuum shape sensitivity method for calculating mixed-mode stress-intensity factors for a stationary crack in two-dimensional, linear-elastic, functionally graded materials with arbitrary geometry is presented. The proposed method involves the mode decoupling of deformations, the material derivative concept taken from continuum mechanics, and direct differentiation. The discrete form of the energy release rate is simple and easy to calculate, as it only requires multiplication of displacement vectors and stiffness sensitivity matrices. By judiciously selecting the velocity field, the method only requires displacement response in a sub domain close to the crack tip, thus making the method computationally efficient. Excellent agreement is obtained between stress-intensity factors predicted by the proposed method and available reference solutions in the literature. Therefore, mode decoupling shape sensitivity analysis provides an attractive alternative to fracture analysis of cracks in homogeneous and non-homogeneous materials.
Details
- Title: Subtitle
- A mode decoupling continuum shape sensitivity method for fracture analysis of functionally graded materials
- Creators
- Sharif RAHMAN - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United StatesB. N RAO - Structural Engineering Division, Department of Civil Engineering, Indian Institute of Technology, Madras, Chennai 600 036, India
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.195(44-47), pp.5962-5982
- Publisher
- Elsevier; Amsterdam
- DOI
- 10.1016/j.cma.2005.09.015
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 2006
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064578502771
Metrics
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