A hemivariational inequality in crack problems

作者：Kovtunenko V A^*

来源：Optimization, 2011, 60(8-9): 1071-1089.

DOI：10.1080/02331934.2010.534477

• hemivariational inequality
• nonconvex and nonsmooth optimization
• primal-dual methods
• active-set algorithm
• crack problem
• quasibrittle fracture

Interface crack problems arising in quasibrittle fracture due to contact with cohesion or plasticity between the crack faces are considered. These problems are described by a hemivariational inequality. Its solvability is guaranteed by the variational principle, which yields minimization of a nonconvex and nondifferentiable objective functional associated to the total potential energy. To compute solutions of the hemivariational inequality, a primal-dual active-set algorithm is suggested, which obeys global and monotone convergence properties. A numerical example of the quasibrittle fracture is presented.

• 出版日期2011