On the numerical approximation of a problem involving a mixture of a MGT viscous material and an elastic solid

DOI10.1007/s40314-022-01784-8zbMath1499.74027OpenAlexW4213247331MaRDI QIDQ2115063

Noelia Bazarra, Ramón Quintanilla, José R. Fernández

Publication date: 15 March 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01784-8

zbMATH Keywords

mixtureerror estimatesfinite elementsviscoelasticitynumerical simulationsMoore-Gibson-Thompson material

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear constitutive equations for materials with memory (74D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mixture effects in solid mechanics (74F20)

Related Items (2)

Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures ⋮ Analysis of two thermoelastic problems with the Green-Lindsay model

Cites Work

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• A domain of influence theorem under MGT thermoelasticity theory
• Moore–Gibson–Thompson thermoelasticity
• Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature
• Heat waves
• On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity

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