On a family of numerical models for couple stress based flexoelectricity for continua and beams
From MaRDI portal
Publication:2666551
DOI10.1016/j.jmps.2019.01.013zbMath1474.74070OpenAlexW2912118453MaRDI QIDQ2666551
Roman Poya, Rogelio Ortigosa, Antonio J. Gil, Roberto Palma
Publication date: 23 November 2021
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa48418
flexoelectricitycouple stress theorycurvature-induced polarisationmixed high order finite elementssize-dependent piezoelectricity
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Electromagnetic effects in solid mechanics (74F15)
Related Items
Computational Modelling of Flexoelectricity: State-of-the-art and Challenges ⋮ 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 ⋮ A gradient micromechanical model to explore flexoelectric copolymers via stochastic chain growth ⋮ On Flamant-Boussinesq problem with dynamical flexoelectric effect and micro-inertia effect in dielectrics subjected to dynamical wave loading ⋮ Numerical experiment based on non-linear micropolar finite element to study micro-rotations generated by the non-symmetric Maxwell stress tensor ⋮ Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory ⋮ Non-conforming Trefftz finite element implementation of orthotropic Kirchhoff plate model based on consistent couple stress theory ⋮ A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A computational framework for polyconvex large strain elasticity for geometrically exact beam theory
- A unified approach for a posteriori high-order curved mesh generation using solid mechanics
- Microstructure-dependent couple stress theories of functionally graded beams
- A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations
- Flexoelectric properties of ferroelectrics and the nanoindentation size-effect
- A mixed element based on Lagrange multiplier method for modified couple stress theory
- A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
- Flexoelectricity in soft materials and biological membranes
- Exact theory of stress and strain in rods and shells
- A new Kirchhoff plate model based on a modified couple stress theory
- Variational formulation of a modified couple stress theory and its application to a simple shear problem
- On the possibility of piezoelectric nanocomposites without using piezoelectric materials
- Elastic materials with couple-stresses
- Formulations of finite elasticity with independent rotations
- A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity
- A unifying treatise of variational principles for two types of micropolar continua
- Analytical and computational assessment of locking in the \(hp\) finite element method
- High-frequency Rayleigh waves in materials with micro-structure and couple-stress effects.
- Experiments and theory in strain gradient elasticity.
- Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
- Eringen's nonlocal theories of beams accounting for moderate rotations
- Boundary element formulation for steady state plane problems in size-dependent thermoelasticity
- A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model
- A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity
- A computational framework for polyconvex large strain elasticity
- Size-dependent piezoelectricity: a 2D finite element formulation for electric field-mean curvature coupling in dielectrics
- Invariant formulation of the electromechanical enthalpy function on transversely isotropic piezoelectric materials
- Couple stress based strain gradient theory for elasticity
- Micropolar hyperelasticity: constitutive model, consistent linearization and simulation of 3D scale effects
- A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics
- A level-set based IGA formulation for topology optimization of flexoelectric materials
- A curvilinear high order finite element framework for electromechanics: from linearised electro-elasticity to massively deformable dielectric elastomers
- Polarization in dielectrics modeled as micromorphic continua
- Theories of elasticity with couple-stress
- 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
- Finite element Lagrange multiplier formulation for size-dependent skew-symmetric couple-stress planar elasticity
- Polarization gradient in elastic dielectrics
- On first strain-gradient theories in linear elasticity
- Nonlocal polar elastic continua
- Linear theory of nonlocal elasticity and dispersion of plane waves
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- Axisymmetric couple stress elasticity and its finite element formulation with penalty terms
- Finite element modelling of hybrid active–passive vibration damping of multilayer piezoelectric sandwich beams—part I: Formulation
- The inf-sup test
- Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
- The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
- Linear Elasticity with Couple Stresses
- A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
- ON THE SELECTION OF A LOCKING-FREEhp ELEMENT FOR ELASTICITY PROBLEMS
- A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
- A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions
- A variationally consistent fractional time-step integration method for incompressible and nearly incompressible Lagrangian dynamics
