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Quasidifferential modelling of adhesive contact

Stavroulakis Georgios

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/0F82A07F-00D4-4081-939D-85ADDF33DE17
Έτος 1998
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
Άδεια Χρήσης
Λεπτομέρειες
Βιβλιογραφική Αναφορά G.E. Stavroulakis ," Quasidifferential modelling of adhesive contact," Math. and comp. model. ,vol. 28 ,no.4,pp. 455-467.doi : 10.1016/S0895-7177(98)00135-6 https://doi.org/10.1016/S0895-7177(98)00135-6
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Περίληψη

A number of phenomenological models for the adhesive contact problem are presented in this paper. The nonmonotone nature of the adhesive contact laws and the inequalities that are introduced by unilateral contact effects lead to nonsmooth and nonconvex potential energy optimization problems. For discretized problems the potential energy function is in general assumed to be quasidifferentiable and/or the sets that describe the inequality subsidiary conditions are also assumed to be described by quasidifferentiable functions.The structural analysis problem is described in a systematic way by the optimality conditions of the quasidifferentiable potential energy. The arising variational problems generalize the classical variational equations of smooth mechanics, the variational inequalities of convex, nonsmooth mechanics and give a computationally efficient explication of hemivariational inequalities of nonconvex, non smooth mechanics. Nonlinear structural analysis methods are proposed for the solution of the problems by using elements of quasidifferential optimization.

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