Modelization and numerical approximation of piezoelectric thin shells. I: The continuous problems.

DOI10.1016/S0045-7825(03)00364-5zbMath1052.74035OpenAlexW2578868809MaRDI QIDQ1424430

Christophe Haenel, Michel Bernadou

Publication date: 14 March 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(03)00364-5

zbMATH Keywords

existenceuniquenessenergy criterion

Mathematics Subject Classification ID

Shells (74K25) Electromagnetic effects in solid mechanics (74F15)

Related Items (7)

A finite element formulation for piezoelectric shell structures considering geometrical and material non-linearities ⋮ A generalized piezoelectric Bernoulli-Navier anisotropic rod model ⋮ Modelization and numerical approximation of piezoelectric thin shells. II: Approximation by finite element methods and numerical experiments. ⋮ Modelization and numerical approximation of piezoelectric thin shells. III: From the patches to the active structures. ⋮ Numerical analysis of an elasto-piezoelectric problem with damage ⋮ Frictional contact of an anisotropic piezoelectric plate ⋮ A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis

Cites Work

• Existence theorems for two-dimensional linear shell theories
• Modelization and numerical approximation of piezoelectric thin shells. II: Approximation by finite element methods and numerical experiments.
• The theory of piezoelectric shells
• A dynamical theory of structures solids. I Basic developments
• On some recent approaches to structural optimization
• Equivalent Norms for Sobolev Spaces
• Construction of the Theory of Piezoelectric Shells and Plates
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