A convex multi-variable based computational framework for multilayered electro-active polymers

DOI10.1016/j.cma.2020.113567zbMath1506.74014OpenAlexW3109807816MaRDI QIDQ2021243

Jesús Martínez-Frutos, Antonio J. Gil, Rogelio Ortigosa, Francisco J. Marín

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa55636/Download/55636__18635__f392b652b88e465d9fc4be161bed83f8.pdf

zbMATH Keywords

finite element methodcomposite materialsnonlinear electro-elasticityrank-one laminates

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theory of constitutive functions in solid mechanics (74A20)

Related Items (5)

A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation ⋮ Gradient enhanced Gaussian process regression for constitutive modelling in finite strain hyperelasticity ⋮ Adversarial deep energy method for solving saddle point problems involving dielectric elastomers ⋮ Viscoelastic up-scaling rank-one effects in in-silico modelling of electro-active polymers ⋮ Finite electro-elasticity with physics-augmented neural networks

Uses Software

• FLagSHyP

Cites Work

• Unnamed Item
• Unnamed Item
• On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics
• Dielectric elastomer composites
• Instabilities in multilayered soft dielectrics
• Stability of anisotropic electroactive polymers with application to layered media
• Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
• A nonlinear field theory of deformable dielectrics
• Transversely isotropic nonlinear electro-active elastomers
• Convexity conditions and existence theorems in nonlinear elasticity
• Electromechanical macroscopic instabilities in soft dielectric elastomer composites with periodic microstructures
• A computational framework for polyconvex large strain elasticity
• Nonlinear electroelasticity
• Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
• High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior.
• A multiscale FE-FFT framework for electro-active materials at finite strains
• A mixed variational framework for the design of energy-momentum integration schemes based on convex multi-variable electro-elastodynamics
• A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics
• A curvilinear high order finite element framework for electromechanics: from linearised electro-elasticity to massively deformable dielectric elastomers
• A computational framework for large strain nearly and truly incompressible electromechanics based on convex multi-variable strain energies
• A variational approach for materially stable anisotropic hyperelasticity
• A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation
• A new framework for large strain electromechanics based on convex multi-variable strain energies: finite element discretisation and computational implementation
• Transversely isotropic sequentially laminated composites in finite elasticity
• Nonlinear electroelastic deformations
• Stress tensors in elastic dielectrics
• Multiscale instabilities in soft heterogeneous dielectric elastomers
• Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials
• Some Open Problems in Elasticity
• A reduced mixed finite-element formulation for modeling the viscoelastic response of electro-active polymers at finite deformation
• Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
• Numerical modelling of non-linear electroelasticity
• A polyconvex anisotropic free energy function for electro- and magneto-rheological elastomers
• A variational approach to nonlinear electro-magneto-elasticity: Convexity conditions and existence theorems
• Nonlinear Solid Mechanics for Finite Element Analysis: Statics

This page was built for publication: A convex multi-variable based computational framework for multilayered electro-active polymers