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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.

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