The path-independent integral A is extended to account for mixed-mode loading and thermal stresses in dynamic fracture analysis. A new path-independent integral, k, related to the variation of the stress intensity factor is presented for solving the "prediction" problem in finite bodies subjected to
Mixed mode crack analysis using complex path-independent integrals
β Scribed by G. Tsamasphyros
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 850 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0013-7944
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β¦ Synopsis
In this paper, complex path-inde~ndent integrals are rederived and their expression in terms of stress and displacements is given. The integrals are evaluated along elliptical paths using Gauss integration rule. The stress and displacement field is obtained by the finite element method where an automatically generated grid is used. The grid around the crack is composed by confocal elipses and hyperbolas, so the data for the path independent integrals are easily obtained. The proposed method presents some very essential advantages against the previous tentatives. The numerical results comfirm the accuracy, the reliability and the computational efficiency of the method.
π SIMILAR VOLUMES
This paper presents the three-dimensional path-independent integrals which are physically the energy release rates per unit area of crack extension along the direction of crack propagation in the volume surrounding the crack front increment for thermoelastic fracture problems. The variation of the i
## Abstract A threeβdimensional boundary element method (BEM) implementation of the interaction integral methodology for the numerical analysis of mixedβmode threeβdimensional thermoelastic crack problems is presented in this paper. The interaction integral is evaluated from a domain representation