A frictionless contact problem for elastic-viscoplastic materials with internal state variable

• Autorzy: Lynda Selmani
• Języki publikacji: EN

Abstrakty

EN

We study a mathematical model for frictionless contact between an elastic-viscoplastic body and a foundation. We model the material with a general elastic-viscoplastic constitutive law with internal state variable and the contact with a normal compliance condition. We derive a variational formulation of the model. We establish existence and uniqueness of a weak solution, using general results on first order nonlinear evolution equations with monotone operators and fixed point arguments. Finally, we study the dependence of the solution on perturbations of contact conditions and prove a convergence result.

Kategorie tematyczne

• 74C10: Small-strain, rate-dependent theories (including theories of viscoplasticity)
• 74M15: Contact

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 1
• Strony: 1-20

Daty

wydano

2013

Twórcy

autor

Lynda Selmani

• Department of Mathematics, University of Setif, 19000 Setif, Algeria

Identyfikatory

DOI

10.4064/am40-1-1