Variation principle of piezothermoelastic bodies, canonical equation and homogeneous equation

DOI10.1007/s10483-007-0207-yzbMath1231.74051OpenAlexW1977614510MaRDI QIDQ940209

Yan-Hong Liu, Hui-Ming Zhang

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0207-y

zbMATH Keywords

Hamilton principlepiezothermoelasticityhomogeneous equationHamilton canonical equationhomogeneous isoparametric element formulationssymplectic variables

Mathematics Subject Classification ID

Elastic materials (74B99) Variational principles of physics (49S05)

Related Items (1)

Generalized variational principles for boundary value problem of electromagnetic field in electrodynamics

Cites Work

• Modified H-R mixed variational principle for magnetoelectroelastic bodies and state-vector equation
• A state space formalism for piezothermoelasticity.
• Improved exponential discretization method for convection-diffusion equation
• Exact solution for static analysis of an intelligent structure under cylindrical bending
• Exact solutions for dynamic analysis of composite plates with distributed piezoelectric layers
• Exact Solutions for Laminated Piezoelectric Plates in Cylindrical Bending
• The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators
• Control of transient thermoelastic displacement of a two-layered composite plate constructed of isotropic elastic and piezoelectric layers due to nonuniform heating

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