Name
Title | ||
|---|---|---|
Strain Gradient Elasticity for Antiplane Shear Cracks: A Hypersingular Integrodifferential Equation Approach |
Abstract | ||
|---|---|---|
We consider Casal's strain gradient elasticity with two material lengths, associated with volumetric and surface energies, respectively. For a Mode III finite crack we formulate a hypersingular integrodifferential equation for the crack slope supplemented with the natural crack-tip conditions. The full-field solution is then expressed in terms of the crack pro le and the Green function, which is obtained explicitly. For l' = 0, we obtain a closed form solution for the crack profile. The case of small l' is shown to be a regular perturbation. The question of convergence, as l,l' --> 0, is studied in detail both analytically and numerically. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1137/S0036139900380487 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
strain-gradient elasticity,hypersingular integral equation | Convergence (routing),Strain (chemistry),Mathematical optimization,Green's function,Mathematical analysis,Closed-form expression,Elasticity (economics),Antiplane shear,Mathematics,Perturbation (astronomy) | Journal |
Volume | Issue | ISSN |
62 | 3 | 0036-1399 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Albert C. Fannjiang | 1 | 111 | 10.78 |
| Glaucio H. Paulino | 2 | 20 | 7.00 |
| Youn-Sha Chan | 3 | 0 | 1.01 |