Abstract
The singular solution of the Laplace equation with a straight crack is represented by a series of eigenpairs, shadows, and their associated edge flux intensity functions (EFIFs). We address the computation of the EFIFs associated with the integer eigenvalues by the quasi-dual function method (QDFM). The QDFM is based on the dual eigenpairs and shadows, and we exhibit the presence of logarithmic terms in the dual singularities associated with the integer eigenvalues. These are then used with the QDFM to extract EFIFs from p-version finite element solutions. Numerical examples are provided.
| Original language | American English |
|---|---|
| Pages (from-to) | 4951-4963 |
| Number of pages | 13 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 39 |
| Issue number | 17 |
| DOIs | |
| State | Published - 30 Nov 2016 |
Keywords
- 3D singularities
- dual eigenvalues
- dual singularities
- edge flux/stress intensity functions
- logarithmic singularities
- quasi-dual function method
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Engineering
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