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September 18, 2025ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Modeling and analysis of history‐dependent contact problem for fractional Thermo‐viscoelastic Materials

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Authors

MBMustapha BouallalaCadi Ayyad UniversityMEMohamed EssofiYOYoussef OuafikCadi Ayyad University

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Overview

This analysis uncovers the effects of fractional calculus on contact problems in thermo-viscoelastic materials, revealing solutions.

Key Points

  • Results show a weak solution exists for frictionless contact problems in thermo-viscoelastic contexts.
  • Using the Galerkin method, the study establishes foundational proof based on fractional calculus principles.
  • The analysis incorporates a unique constitutive law defined by time-fractional derivatives affecting displacement behavior.
  • Numerical simulations validate the approach's effectiveness in addressing contact issues in these materials.

Cite This Study

Bouallala et al. (2025) studied this question.

synapsesocial.com/papers/68d462db31b076d99fa62890https://doi.org/10.1002/zamm.70217
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  1. 1Analysis and Numerical Simulation of Time-Fractional Derivative Contact Problem with Friction in Thermo-Viscoelasticity2024 · 2 citations
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  4. 4A doubly history‐dependent quasivariational inequality arising in viscoelastic frictional contact problems with wear2024 · 3 citations
  5. 5Stability of a dynamic frictionless contact problem for viscoelastic materials with rigid‐plastic foundation and long‐term memory2025