A nonlinear generalized continuum approach for electro-elasticity including scale effects

DOI10.1016/j.jmps.2008.09.014zbMath1422.74076OpenAlexW1982500365MaRDI QIDQ835849

A. Arockiarajan, Sebastian Skatulla, Carlo Sansour

Publication date: 31 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmps.2008.09.014

zbMATH Keywords

scale effectsgeneralized continuastrain gradient theoryelectro-active polymers (EAP)electro-mechanical coupling

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15)

Related Items (7)

Large strain, two-scale computational approach using \(C^1\) continuity finite element employing a second gradient theory ⋮ Two-scale computational homogenization of electro-elasticity at finite strains ⋮ A multiplicative approach for nonlinear electro-elasticity ⋮ Solution of a crack in an electrostrictive solid ⋮ An arc-shaped crack in an electrostrictive material ⋮ A Generalized Framework and a Multiplicative Formulation of Electro-Mechanical Coupling ⋮ Electro-elastic fields around two arbitrarily-shaped holes in a finite electrostrictive solid

Cites Work

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• A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
• On the microstretch piezoelectricity
• Some theorems in the theory of microstretch thermopiezoelectricity
• Exact theory of stress and strain in rods and shells
• Theory of elastic dielectrics revisited
• Nonlinear electroelastostatics: a variational framework
• A generalized linear thermoelasticity theory for piezoelectric media
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A generalisation of \(J_ 2\)-flow theory for polar continua
• A constitutive model for compressible elastomeric solids
• Some results in micropolar thermoelasticity
• Experiments and theory in strain gradient elasticity.
• Nonlinear electroelasticity
• Some results on thermoelasticity for porous piezoelectric materials
• An atomistic and non-classical continuum field theoretic perspective of elastic interactions between defects (force dipoles) of various symmetries and application to graphene
• Micro-structure in linear elasticity
• A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results
• A theoretical study of the hyperelasticity of electro‐gels
• On nonuniqueness in the traction boundary-value problem for a compressible elastic solid
• Numerical modelling of non-linear electroelasticity
• Surfaces Generated by Moving Least Squares Methods
• On the performance of enhanced strain finite elements in large strain deformations of elastic shells
• Wavelet and multiple scale reproducing kernel methods
• Microcontinuum Field Theories

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