August 12, 2024Mathematical Methods in the Applied Sciences

Analysis of a quasistatic thermo‐electro‐viscoelastic contact problem modeled by variational‐hemivariational and hemivariational inequalities

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Weak solution existence and uniqueness are established for the quasistatic contact problem governed by coupled variational hemivariational inequalities.
The formulation couples Signorini contact condition mechanics with Clarke subdifferential boundaries to capture electrical and thermal surface conductivity.
A fully discrete Euler scheme and finite element method provide rigorous error estimates under regularity assumptions, enabling certified multiphysics modeling.

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Implication

Theoretical analysis establishes weak solution existence, uniqueness, and discrete error estimates in thermo-electro-viscoelastic contact, enabling reliable multi-physics simulation.

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Alaoui et al. (2024) studied this question.

synapsesocial.com/papers/68e5c97fb6db643587560330 https://doi.org/10.1002/mma.10411

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Implication

Theoretical analysis establishes weak solution existence, uniqueness, and discrete error estimates in thermo-electro-viscoelastic contact, enabling reliable multi-physics simulation.

Analysis of a quasistatic thermo‐electro‐viscoelastic contact problem modeled by variational‐hemivariational and hemivariational inequalities

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Implication

Cite This Study

Analysis of a quasistatic thermo‐electro‐viscoelastic contact problem modeled by variational‐hemivariational and hemivariational inequalities

Key Points

Discussion

Implication

Cite This Study

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