Size-dependent piezoelectricity: a 2D finite element formulation for electric field-mean curvature coupling in dielectrics

DOI10.1016/j.euromechsol.2014.07.013zbMath1406.74213OpenAlexW2092809749MaRDI QIDQ1669513

Gary F. Dargush, Ali R. Hadjesfandiari, Bradley T. Darrall

Publication date: 3 September 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2014.07.013

zbMATH Keywords

flexoelectricitycouple stressessize-dependent multiphysics

Mathematics Subject Classification ID

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

Related Items (8)

A Timoshenko dielectric beam model with flexoelectric effect ⋮ On a family of numerical models for couple stress based flexoelectricity for continua and beams ⋮ A mixed finite element method for large deformation of flexoelectric materials ⋮ Penalty \(\mathrm{C}^0 8\)-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method ⋮ Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory ⋮ Couple stress-based flexoelectricity of frictionless contact in dielectrics ⋮ Mixed Lagrangian formulation for size-dependent couple stress elastodynamic response ⋮ Benchmark solutions for the material length scale effect in flexoelectric nanobeam using a couple stress theory

Uses Software

• Matlab

Cites Work

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• A piezoelectric constitutive theory with rotation gradient effects
• On the possibility of piezoelectric nanocomposites without using piezoelectric materials
• Elastic materials with couple-stresses
• Finite element Lagrange multiplier formulation for size-dependent skew-symmetric couple-stress planar elasticity
• Effects of couple-stresses in linear elasticity
• An Unsymmetric-Pattern Multifrontal Method for Sparse LU Factorization
• A column pre-ordering strategy for the unsymmetric-pattern multifrontal method

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