Bull. Math. Soc. Sci. Math. Roumanie


El Hassan Essoufi and Mostafa Kabbaj: Existence of solutions of a dynamic Signorini's problem with nonlocal friction for Viscoelastic Piezoelectric Materials, p. 181-195
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El Hassan Essoufi and Mostafa Kabbaj: Existence of solutions of a dynamic Signorini's problem with nonlocal friction for Viscoelastic Piezoelectric Materials, p. 181-195

Abstract:

The aim of this paper is to study a Signorini's problem with nonlocal friction of coupled model of electro-viscoelasticity. We use a modified Kelvin-Voigt constitutive law which takes into account the piezoelectric effect of the material. After introducing the model and the functional framework, we derive a weak formulation and prove the existence of a weak solution to the problem. The proof employ the penalty method and compactness result.

Key Words: Dynamic process, viscoelastic piezoelectric, unilateral contact, nonlocal friction, Signorini problem, existence of solution.

2000 Mathematics Subject Classification: Primary: 35J55, 35R35, 49J40, 74A55, 74D05, 74H20,
Secondary: 35Q99.

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