TY  - EJOU
AU  - Zozulya, V.V. 

TI  - Variational formulation and Nonsmooth Optimization Algorithms in Elastostatic Contact Problems for Cracked Body
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2009
VL  - 42
IS  - 3
SN  - 1526-1506

AB  - The mathematical statement for contact problem with unilateral restrictions and friction is done in classical and weak forms. Different variational formulation of unilateral contact problems with friction based on principles of virtual displacements and virtual stresses are considered. Especially boundary variational functionals that are used with boundary integral equations have been established. Nonsmooth optimization algorithms of Udzawa type for solution of unilateral contact problem with friction have been developed. Some theoretical results of existence and uniqueness in elastostatic unilateral contact problem with friction are outlined.
KW  - Unilateral contact
KW  -  friction
KW  -  principles of virtual displacements
KW  -  principles of virtual virtual stresses
KW  -  boundary variational functional
KW  -  nonsmooth optimization algorithm

DO  - 10.3970/cmes.2009.042.187