Mathematical analysis of static and dynamic three-dimensional models of thermo-electro-magneto-elastic solids

DOI10.1177/1081286520963384OpenAlexW3108887421MaRDI QIDQ4992831

Mariam Avalishvili, Gia Avalishvili, Ayech Benjeddou

Publication date: 10 June 2021

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286520963384

zbMATH Keywords

Sobolev spacesvariational methodsexistence and uniqueness of solutionvector-valued distributionsboundary and initial boundary value problemsthermo-electro-magneto-elastic solids

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics
• Mathematical methods in electro-magneto-elasticity
• The well-posedness of dynamical equations of magneto-electro-elasticity
• Equations of high frequency vibrations of thermopiezoelectric crystal plates
• On well-posedness for some thermo-piezoelectric coupling models
• A Uniqueness Theorem for Linear Theory of Thermopiezoelectricity
• Uniqueness and Reciprocity Theorems for Linear Thermo-Electro-Magneto-Elasticity
• Well-Posedness of Initial-Boundary Value Problems for Piezoelectric Equations
• On the coupled theory of thermo-magnetoelectroelasticity