Internal energy variational principles and governing equations in electroelastic analysis

DOI10.1016/j.ijsolstr.2008.10.001zbMath1215.74025OpenAlexW2080582191MaRDI QIDQ545048

Zhen-Bang Kuang

Publication date: 22 June 2011

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.10.001

zbMATH Keywords

first law of thermodynamicsvariational principlefinite deformationelectroelastic materialsgoverning equations

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Energy minimization in equilibrium problems in solid mechanics (74G65) Electromagnetic effects in solid mechanics (74F15)

Related Items (12)

Physical variational principle in dissipative media ⋮ Dynamical theoretical model and variational principles for coupled temperature-diffusion-mechanics ⋮ Two theoretical problems in electro-magneto-elastic analysis ⋮ A theoretical analysis of the breakdown of electrostrictive oxide film on metal ⋮ Variational principles for generalized thermodiffusion theory in pyroelectricity ⋮ Physical variational principle and thin plate theory in electro-magneto-elastic analysis ⋮ Singularities of an interface crack in electrostrictive materials ⋮ A theory of flexoelectricity with surface effect for elastic dielectrics ⋮ An applied electro-magneto-elastic thin plate theory ⋮ Solution of a crack in an electrostrictive solid ⋮ An arc-shaped crack in an electrostrictive material ⋮ Theory for dielectrics considering the direct and converse flexoelectric effects and its finite element implementation

Cites Work

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• Stress and electric fields in an infinite electrostrictive plate with an elliptic inhomogeneity
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• Some variational principles in electroelastic media under finite deformation
• Electrodynamics and thermomechanics of material bodies
• Balance laws of micromorphic continua revisited
• An active control model of laminated piezothermoelastic plate
• Nonlinear electroelasticity
• Polarization gradient in elastic dielectrics
• On the nonlinear equations of thermoelectroelasticity
• Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
• Some Problems in Two‐Dimensional Electrostriction

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