Theory for dielectrics considering the direct and converse flexoelectric effects and its finite element implementation

DOI10.1016/j.apm.2015.12.042zbMath1471.74070OpenAlexW2296119195MaRDI QIDQ2293342

Yiqi Mao, Shigang Ai, Xinlin Xiang, Chang-Ping Chen

Publication date: 5 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2015.12.042

zbMATH Keywords

finite elementstrain gradientdirect and converse flexoelectric effectspolarization intensity

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15)

Related Items (3)

A mixed finite element method for large deformation of flexoelectric materials ⋮ A staggered explicit-implicit isogeometric formulation for large deformation flexoelectricity ⋮ A large deformation isogeometric approach for flexoelectricity and soft materials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A theory of flexoelectricity with surface effect for elastic dielectrics
• Internal energy variational principles and governing equations in electroelastic analysis
• Flexoelectric properties of ferroelectrics and the nanoindentation size-effect
• Some variational principles in elastic dielectric and elastic magnetic materials
• On the possibility of piezoelectric nanocomposites without using piezoelectric materials
• A discourse on the stability conditions for mixed finite element formulations
• Mixed finite element formulations of strain-gradient elasticity problems
• The finite element patch test revisited. A computer test for convergence, validation and error estimates
• Convergence and performance of theh- and p-extensions with mixed finite elementc0-continuity formulations, for tension and buckling of a gradient elastic beam
• Polarization gradient in elastic dielectrics
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• Some mixed finite element methods for biharmonic equation

This page was built for publication: Theory for dielectrics considering the direct and converse flexoelectric effects and its finite element implementation