1. Unilateral contact with adhesion and friction between two hyperelastic bodies
- Author
-
Anne Sophie Bretelle, Marius Cocou, Yann Monerie, Laboratoire de Mécanique et d'Acoustique [Marseille] ( LMA ), Aix Marseille Université ( AMU ) -Ecole Centrale de Marseille ( ECM ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Physics ,State variable ,Plane (geometry) ,Quantitative Biology::Tissues and Organs ,Mechanical Engineering ,Isotropy ,General Engineering ,Unilateral contact ,02 engineering and technology ,Adhesion ,[ PHYS.MECA.STRU ] Physics [physics]/Mechanics [physics]/Mechanics of the structures [physics.class-ph] ,01 natural sciences ,010101 applied mathematics ,Thermodynamic model ,[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph] ,020303 mechanical engineering & transports ,Classical mechanics ,0203 mechanical engineering ,Mechanics of Materials ,Hyperelastic material ,General Materials Science ,Boundary value problem ,0101 mathematics ,ComputingMilieux_MISCELLANEOUS - Abstract
In the present paper, we consider a thermodynamic model using the contact kinematics developed by A. Curnier, Q.C. He and J.J. Telega [C. R. Acad. Sci. Paris Ser. II 314 (1992) 1] involving unilateral contact, adhesion and Coulomb friction between two homogeneous, isotropic and hyperelastic bodies. Adhesion is described by an internal state variable β ϕ introduced by M. Fremond [C. R. Acad. Sci. Paris Ser. II 295 (1982) 913; J. Theor. Appl. Mech. 6 (1987) 383]. Taking the case of contact between a hyperelastic solid and a plane support, we formulate the associated boundary value problem as a minimization problem when no friction is involved. When the intensity of the adhesion obeys a `static' law, we obtain an existence result for this problem.
- Published
- 2001
- Full Text
- View/download PDF