A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation
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Publication:2679445
DOI10.1016/j.cma.2022.115695OpenAlexW4226213782MaRDI QIDQ2679445
Martin Kružík, Martin Horák, Antonio J. Gil, Rogelio Ortigosa
Publication date: 20 January 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05095
Related Items (3)
Variational schemes and mixed finite elements for large strain isotropic elasticity in principal stretches: Closed‐form tangent eigensystems, convexity conditions, and stabilised elasticity ⋮ Model-driven identification framework for optimal constitutive modeling from kinematics and rheological arrangement ⋮ Adversarial deep energy method for solving saddle point problems involving dielectric elastomers
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Cites Work
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- On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics
- Dielectric elastomer composites
- Instabilities in multilayered soft dielectrics
- A 2-D coupled BEM-FEM simulation of electro-elastostatics at large strain
- Stability of anisotropic electroactive polymers with application to layered media
- On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers
- A nonlinear field theory of deformable dielectrics
- Transversely isotropic nonlinear electro-active elastomers
- Convexity conditions and existence theorems in nonlinear elasticity
- Voltage-driven torsion of electroactive thick tubes reinforced with helical fibers
- Electromechanical macroscopic instabilities in soft dielectric elastomer composites with periodic microstructures
- A computational framework for polyconvex large strain elasticity
- Invariant formulation of the electromechanical enthalpy function on transversely isotropic piezoelectric materials
- Nonlinear electroelasticity
- Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
- On representations of anisotropic invariants
- A convex multi-variable based computational framework for multilayered electro-active polymers
- Viscoelastic up-scaling rank-one effects in in-silico modelling of electro-active polymers
- A mixed variational framework for the design of energy-momentum integration schemes based on convex multi-variable electro-elastodynamics
- An introduction to continuum mechanics
- 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
- Neo-Hookean fiber-reinforced composites in finite elasticity
- Nonlinear electroelastic deformations
- Stress tensors in elastic dielectrics
- Loss of polyconvexity by homogenization: a new example
- Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials
- Continuum Mechanics and Thermodynamics
- 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
- Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading
- Numerical modelling of non-linear electroelasticity
- A note on locking materials and gradient polyconvexity
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- 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 Theory of Electroelastic and Magnetoelastic Interactions
- Nonlinear Solid Mechanics for Finite Element Analysis: Statics
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