Finite element evaluation of mixed mode stress intensity factors in functionally graded materials
✍ Scribed by Jeong-Ho Kim; Glaucio H. Paulino
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 535 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.364
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✦ Synopsis
Abstract
This paper is directed towards finite element computation of fracture parameters in functionally graded material (FGM) assemblages of arbitrary geometry with stationary cracks. Graded finite elements are developed where the elastic moduli are smooth functions of spatial co‐ordinates which are integrated into the element stiffness matrix. In particular, stress intensity factors for mode I and mixed‐mode two‐dimensional problems are evaluated and compared through three different approaches tailored for FGMs: path‐independent J^*^~k~‐integral, modified crack‐closure integral method, and displacement correlation technique. The accuracy of these methods is discussed based on comparison with available theoretical, experimental or numerical solutions. Copyright © 2001 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## Abstract Finite element methods are used to calculate the stress intensity factors for three‐dimensional geometries containing a number of depths of crack subjected to various loads. Special elements are used at the tip to represent the variation of the displacement with respect to the square ro
A simple numerical method which allows calculation of Mode I stress intensity factors is presented. Using a linear extrapolation of the energy release rate 9, as calculated using standard nonsingular isoparametric elements and a relatively course mesh, accuracies of better than 5% may be obtained. T