BILATERAL CONTACT PROBLEM WITH FRICTION AND WEAR FOR AN ELECTRO ELASTIC-VISCOPLASTIC MATERIALS WITH DAMAGE
| Autor: | Abdelbaki Merouani, Abdelmoumene Djabi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
elastic-viscoplastic Fixed point
wear Viscoplasticity General Mathematics Weak solution 74M15 Mathematical analysis Constitutive equation 74M10 Fixed point variational inequality 70F40 Displacement (vector) Variational inequality Obstacle problem friction contact Calculus piezoelectric 49J40 Quasistatic process Mathematics |
| Zdroj: | Taiwanese J. Math. 19, no. 4 (2015), 1161-1182 |
| Popis: | We consider a mathematical problem for quasistatic contact between anelectro elastic-viscoplastic body and an obstacle. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. We employ the electro elastic-viscoplastic with damage constitutive law for the material. The evolution of the damage is described by an inclusion of parabolic type. The problem is formulated as a system of an elliptic variational inequality for the displacement, a parabolic variational inequality for the damage and a variational equality for the electric stress. We establish a variational formulation for the model and we give the wear conditions for the existence of a unique weak solution to the problem. The proofs are based on classical results for elliptic variational inequalities, parabolic inequalities and fixed point arguments. |
| Databáze: | OpenAIRE |
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