A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
type: Item
instance of: scholarly article
title: A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
author: Jesús Martínez-Frutos
author: Rogelio Ortigosa
author: Antonio J. Gil
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2022-11-11T00:00:00Z
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 7614985
zbMATH Keywords: flexoelectricity
zbMATH Keywords: topology optimisation
zbMATH Keywords: dielectric elastomer
zbMATH Keywords: micromorphic elasticity
zbMATH Keywords: energy harvesters
zbMATH Keywords: mixed finite elements
describes a project that uses: HYPLAS
MaRDI profile type: Publication
full work available at URL: j.cma.2022.115604
OpenAlex ID: W4297325538
cites work: Real wave propagation in the isotropic-relaxed micromorphic model
cites work: Numerical modelling of non-linear electroelasticity
cites work: Nonlinear electroelasticity
cites work: Nonlinear electroelastic deformations
cites work: Electroelastic waves in a finitely deformed electroactive material
cites work: A 2-D coupled BEM-FEM simulation of electro-elastostatics at large strain
cites work: On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics
cites work: On electric body forces and Maxwell stresses in nonlinearly electroelastic solids
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation
cites work: A new framework for large strain electromechanics based on convex multi-variable strain energies: finite element discretisation and computational implementation
cites work: A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics
cites work: A computational framework for large strain nearly and truly incompressible electromechanics based on convex multi-variable strain energies
cites work: Some Open Problems in Elasticity
cites work: \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
cites work: Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
cites work: A variational approach for materially stable anisotropic hyperelasticity
cites work: Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors
cites work: A computational framework for polyconvex large strain elasticity
cites work: Microcontinuum Field Theories
cites work: A numerical framework for modeling flexoelectricity and Maxwell stress in soft dielectrics at finite strains
cites work: Mixed finite-element formulations in piezoelectricity and flexoelectricity
cites work: On a family of numerical models for couple stress based flexoelectricity for continua and beams
cites work: Modelling the flexoelectric effect in solids: a micromorphic approach
cites work: A level set method for structural topology optimization.
cites work: Structural optimization using sensitivity analysis and a level-set method.
cites work: On the Topological Derivative in Shape Optimization
cites work: Systematic design of distributed piezoelectric modal sensors/actuators for rectangular plates by optimizing the polarization profile
cites work: Numerical and analytical method for the design of piezoelectric modal sensors/actuators for shell‐type structures
cites work: Optimal design of robust piezoelectric unimorph microgrippers
cites work: Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
cites work: Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials
cites work: A multi-material level set-based topology optimization of flexoelectric composites
cites work: Stress constrained topology optimization
cites work: Nonlinear Solid Mechanics for Finite Element Analysis: Statics
cites work: A First Course in Continuum Mechanics
cites work: A multiplicative approach for nonlinear electro-elasticity
cites work: Topology optimization of nonlinear elastic structures and compliant mechanisms
cites work: Filters in topology optimization
cites work: On projection methods, convergence and robust formulations in topology optimization
cites work: Mixed and Hybrid Finite Element Methods
cites work: The inf-sup test
cites work: Manufacturing tolerant topology optimization
cites work: Robust optimal shape design for an elliptic PDE with uncertainty in its input data
cites work: The method of moving asymptotes—a new method for structural optimization
DOI: 10.1016/J.CMA.2022.115604
description: scientific article; zbMATH DE number 7614985