Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/0F82A07F-00D4-4081-939D-85ADDF33DE17 | ||
| Year | 1998 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | 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 | ||
| Appears in Collections |
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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