Analysis and Numerical Approach of a Coupled Thermo-Electro-Mechanical System for Nonlinear Hencky-Type Materials with Nonlocal Coulomb’s Friction
DOI10.1080/01630563.2023.2212496zbMath1524.74068OpenAlexW4377092110MaRDI QIDQ6113301
Youssef Mandyly, El-Hassan Benkhira, Rachid Fakhar
Publication date: 10 July 2023
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2023.2212496
iteration methodaugmented Lagrangianalternating direction method of multipliers (ADMM)Signorini's conditionsthermo-piezoelectric materialnonlinear elastic constitutive Hencky's lawCoulombs friction law
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Friction in solid mechanics (74M10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15) Simulation of dynamical systems (37M05) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)
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