Variational-hemivariational inequalities in nonlinear elasticity. The coercive case

Panagiotis D. Panagiotopoulos

Aplikace matematiky (1988)

  • Volume: 33, Issue: 4, page 249-268
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Panagiotopoulos, Panagiotis D.. "Variational-hemivariational inequalities in nonlinear elasticity. The coercive case." Aplikace matematiky 33.4 (1988): 249-268. <http://eudml.org/doc/15541>.

@article{Panagiotopoulos1988,
abstract = {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.},
author = {Panagiotopoulos, Panagiotis D.},
journal = {Aplikace matematiky},
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},
language = {eng},
number = {4},
pages = {249-268},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Variational-hemivariational inequalities in nonlinear elasticity. The coercive case},
url = {http://eudml.org/doc/15541},
volume = {33},
year = {1988},
}

TY - JOUR
AU - Panagiotopoulos, Panagiotis D.
TI - Variational-hemivariational inequalities in nonlinear elasticity. The coercive case
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 4
SP - 249
EP - 268
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/15541
ER -

References

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