Mathematical justification of the obstacle problem in the case of piezoelectric plate

DOI10.3233/ASY-151339zbMath1381.35180OpenAlexW2285523682MaRDI QIDQ2805930

Guan Yan, Bernadette Miara

Publication date: 13 May 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151339

zbMATH Keywords

Signorini problemasymptotic analysisobstacle problempiezoelectric plate

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Plates (74K20) Electromagnetic effects in solid mechanics (74F15) Asymptotic expansions of solutions to PDEs (35C20) Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (2)

Mathematical justification of the obstacle problem for elastic elliptic membrane shells ⋮ Models of elastic shells in contact with a rigid foundation: an asymptotic approach

Cites Work

• The unilateral frictionless contact of a piezoelectric body with a rigid support.
• Mathematical justification of the obstacle problem in the case of a shallow shell
• Asymptotic pyroelectricity and pyroelasticity in thermopiezoelectric plates
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