On a class of noncoercive hemivariational inequalities arising in nonlinear elasticity

Abstract

The aim of this paper is to extend the results obtained in hyperelasticity by Ball 8,9, Ciarlet and Neĉas 17 and Gugat 30, 31 by considering a large class of nonmonotone possibly multivalued boundary conditions. Thus we are led to noncoercive hemivariational inequalities related to hyperelastic polyconvex materials

Keywords:

• Noncoercive hemivariational inequalilites
• unilateral problems
• hyperelastic polyconvexity
• nonmonotone multivalued boundary conditions

¹Chargé de recherches au F.N.R.S. (Fonds National Belge de la Recherche Scientifique),Department of Mathematics, FacultQ Universitaircs N-D de la Paix, B-5000 Namur, Belgium

²2~rofessor, Department of Civil Engineering, Aristotle University, GR-54006 Thessaloniki,Greece and Faculty of Mathematics and Physics, RWTH Aachen, D-52072 Aachen.

¹Chargé de recherches au F.N.R.S. (Fonds National Belge de la Recherche Scientifique),Department of Mathematics, FacultQ Universitaircs N-D de la Paix, B-5000 Namur, Belgium

²2~rofessor, Department of Civil Engineering, Aristotle University, GR-54006 Thessaloniki,Greece and Faculty of Mathematics and Physics, RWTH Aachen, D-52072 Aachen.

Notes

¹Chargé de recherches au F.N.R.S. (Fonds National Belge de la Recherche Scientifique),Department of Mathematics, FacultQ Universitaircs N-D de la Paix, B-5000 Namur, Belgium

²2~rofessor, Department of Civil Engineering, Aristotle University, GR-54006 Thessaloniki,Greece and Faculty of Mathematics and Physics, RWTH Aachen, D-52072 Aachen.