Abstract
In this paper, an integral equation method to the inclusion-crack interaction problem in three-dimensional elastic medium is presented. The method is implemented following the idea that displacement integral equation is used at the source points situated in the inclusions, whereas stress integral equation is applied to source points along crack surfaces. The displacement and stress integral equations only contain unknowns in displacement (in inclusions) and displacement discontinuity (along cracks). The hypersingular integrals appearing in stress integral equation are analytically transferred to line integrals (for plane cracks) which are at most weakly singular. Finite elements are adopted to discretize the inclusions into isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements and the crack surfaces are decomposed into discontinuous quadratic quadrilateral elements. Special crack tip elements are used to simulate the √r variation of displacements near the crack front. The stress intensity factors along the crack front are calculated. Numerical results are compared with other available methods.
Original language | English |
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Pages (from-to) | 313-321 |
Number of pages | 9 |
Journal | Computational Mechanics |
Volume | 29 |
Issue number | 4-5 |
DOIs | |
Publication status | Published - Oct 2002 |
Externally published | Yes |
Keywords
- Cracks
- Inclusions
- Integral equation method
- Three dimensions