Numerical treatment of hemivariational inequalities in mechanics: two methods based on the solution of convex subproblems

1995 ◽  
Vol 16 (6) ◽  
pp. 406-416 ◽  
Author(s):  
G. E. Stavroulakis ◽  
E. S. Mistakidis
Author(s):  
P.D. Panagiotopoulos ◽  
E.K. Koltsakis

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.


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