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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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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