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Numerical Analysis of an Electro-Viscoelastic Frictional Contact Problem with Damage

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Abstract:

This paper investigates a quasistatic frictional electro-viscoelastic contact problem with damage for a body in contact with a conductive foundation. The model incorporates normal compliance, frictional contact, piezoelectric coupling, and an internal damage variable describing adhesion degradation. The resulting system is formulated as a set of convex subdifferential variational inequalities, ensuring monotonicity and analytical tractability. A fully discrete scheme based on an implicit time discretization and conforming finite element approximations is proposed. Existence, uniqueness, unconditional stability, and convergence of the discrete solution toward the weak solution of the continuous problem are established.

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Periodical:

Key Engineering Materials (Volume 1061)

Pages:

45-58

DOI:

https://doi.org/10.4028/p-F770Rl

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Online since:

August 2026

Authors:

Mouna Chegaar*

Keywords:

Adhesion, Convergence Analysis, Damage, Electro-Viscoelastic Materials, Existence, Finite Element Analysis, Frictional Contact, Priori Estimates, Subdifferential Variational Inequality, Uniqueness

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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* - Corresponding Author

References

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