zbMATH — the first resource for mathematics

A mixed variational formulation for the Signorini frictionless problem in viscoplasticity. (English) Zbl 1134.74391
In this paper the authors consider a mathematical model which describes the frictionless contact between a viscoplasic body and a rigid foundation. This paper is to present a new approach in the study of the quasistatic frictionless contact problems for viscoplastic materials, based on a mixed variational formulation involving a Lagrange multiplier. The authors derived a new variational formulation of the problem, different from other references, and then they proved the existence and uniqueness by using Banach’s fixed point theorem.

74M15 Contact in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
49J40 Variational inequalities
Full Text: EuDML