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Variational Analysis of a Dynamic Thermoviscoelastic Unilateral Contact Problem with Normal Damped Response and Friction

Author

Listed:
  • Jianwei Hao

    (Guizhou University
    Guizhou University)

  • JinRong Wang

    (Guizhou University
    Guizhou University)

  • Jiangfeng Han

    (Guangxi University of Finance and Economics)

Abstract

In this paper, we study a mathematical model that describes the dynamic frictional contact between the thermoviscoelastic body and the foundation. The contact condition is modeled by the so-called nonsmooth interface law involving unilateral constraints and subdifferential inclusions. The weak formulation of our mathematical model is a coupled system containing both parabolic and hyperbolic variational-hemivariational inequalities. As a result, we deliver its unique solvability by employing a surjectivity theorem for pseudomonotone operators, a fixed point argument for history-dependent operators and a mixed equilibrium formulation with suitably selected functions.

Suggested Citation

  • Jianwei Hao & JinRong Wang & Jiangfeng Han, 2023. "Variational Analysis of a Dynamic Thermoviscoelastic Unilateral Contact Problem with Normal Damped Response and Friction," Journal of Optimization Theory and Applications, Springer, vol. 199(2), pages 439-465, November.
    • Handle: RePEc:spr:joptap:v:199:y:2023:i:2:d:10.1007_s10957-023-02295-0
    DOI: 10.1007/s10957-023-02295-0
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