In the present paper we formulate hemivariational inequalities describing the interlayer slip and delamination effect in elastic structures. After the formulation of the interface conditions which are of a nonmonotone multivalued nature, we derive hemivariational inequalities for the static and dynamic problems. Further some methods for the numerical treatment of the problems are given (regularisation method and substationarity-point method). Two numerical examples concerning simple adhesively connected elastic structures are given to illustrate the theory.
AbstractIn the present paper, we study inverse problems for a class of nonlinear hemivariational inequalities. We prove the existence and uniqueness of a solution to inverse problems. Finally, we introduce an inverse problem for an electro-elastic frictional contact problem to illustrate our results.
Onsager’s Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit