Article
MSC:
35A15,
35J85,
49A29,
49A99,
49J40,
49J99,
73C50,
74B20,
74S30 | MR 0949247 | Zbl 0665.73020 | DOI: 10.21136/AM.1988.104307
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Keywords:
non-smooth optimization; nonconvex optimization; substationary points of potential; small strains; uniaxial contact problem; nonmonotone reaction-displacement diagram; frictional effects; nonmonotone shearing; multivalued functions; variational-hemivariational inequalities; nonlinear elasticity
non-smooth optimization; nonconvex optimization; substationary points of potential; small strains; uniaxial contact problem; nonmonotone reaction-displacement diagram; frictional effects; nonmonotone shearing; multivalued functions; variational-hemivariational inequalities; nonlinear elasticity
Summary:
Existence of a solution of the problem of nonlinear elasticity with non-classical boundary conditions, when the relationship between the corresponding dual quantities is given in terms of a nonmonotone and generally multivalued relation. The mathematical formulation leads to a problem of non-smooth and nonconvex optimization, and in its weak form to hemivariational inequalities and to the determination of the so called substationary points of the given potential.
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