Abstract
In this paper, a boundary integral equation formulation for anti-plane shear inhomogeneous medium is presented to study the interaction between the inhomogeneities and cracks. The proposed boundary integral equation formulation only contains out-of-plane interface displacements and out-of-plane discontinuous displacements over cracks. Numerical implementation is simple since the present formulation has considered the shear equilibrium condition over the interfaces between the matrix and inhomogeneities. Out-of-plane interface displacements and out-of-plane traction integral equations are collocated respectively on the matrix-inhomogeneity interfaces and on one side of the crack surface. Numerical examples are given to show the validity and numerical accuracy of the present method.
| Original language | English |
|---|---|
| Pages (from-to) | 1416-1425 |
| Number of pages | 10 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 37 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2013 |
Keywords
- Anti-plane shear
- Boundary element method
- Crack
- Inhomogeneity