Duality method for solving model crack problem. (Russian. English summary) Zbl 1393.74171
Summary: We consider the duality method based on the use of modified Lagrangian functional for solving a model of elastic problem with a crack. An article presents the theorems, allowing to use Uzawa method for search a saddle point of the modified Lagrangian functional. The results of numerical experiments are given.
MSC:
| 74R10 | Brittle fracture |
| 35J20 | Variational methods for second-order elliptic equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 65K15 | Numerical methods for variational inequalities and related problems |
| 74P10 | Optimization of other properties in solid mechanics |
