Nonsmooth Optimization Algorithms in Some Problems of Fracture Dynamics
Open Access
- 1 January 2010
- journal article
- Published by Scientific Research Publishing, Inc. in Intelligent Information Management
- Vol. 02 (11), 637-646
- https://doi.org/10.4236/iim.2010.211073
Abstract
Mathematical statement of elastodynamic contact problem for cracked body with considering unilateral restrictions and friction of the crack faces is done in classical and weak forms. Different variational formulations of unilateral contact problems with friction based on boundary variational principle are considered. Nonsmooth optimization algorithms of Udzawa’s type for solution of unilateral contact problem with friction have been developed. Convergence of the proposed algorithms has been studied numerically.Keywords
This publication has 1 reference indexed in Scilit:
- Inequality Problems in Mechanics and ApplicationsPublished by Springer Science and Business Media LLC ,1985