A quasi-incompressible and quasi-inextensible element formulation for transversely isotropic materials

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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Updated Lagrangian mixed finite element formulation for quasi and fully incompressible fluids
Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space
Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
On non-physical response in models for fiber-reinforced hyperelastic materials
Bergström-Boyce model for nonlinear finite rubber viscoelasticity: theoretical aspects and algorithmic treatment for the FE method
Hourglass control in linear and nonlinear problems
Applications of tensor functions in solid mechanics
Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
The simple tension problem at large volumetric strains computed from finite hyperelastic material laws
A note on enhanced strain methods for large deformations
Finite element implementation of incompressible, transversely isotropic hyperelasticity
Design of simple low order finite elements for large strain analysis of nearly incompressible solids
Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids
Loss of ellipticity in plane deformation of a simple directionally reinforced incompressible nonlinearly elastic solid
Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
A novel computational formulation for nearly incompressible and nearly inextensible finite hyperelasticity
Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
On numerically accurate finite element solutions in the fully plastic range
Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
A five-field finite element formulation for nearly inextensible and nearly incompressible finite hyperelasticity
A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy
Assumed strain stabilization of the eight node hexahedral element
On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy
A stability study of some mixed finite elements for large deformation elasticity problems
The finite element method with Lagrangian multipliers
On the formulation of enhanced strain finite elements in finite deformations
Mixed variational principles and robust finite element implementations of gradient plasticity at small strains
Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization
A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
Large elastic deformations of isotropic materials X. Reinforcement by inextensible cords
Rational approach for assumed stress finite elements
On the Variational Foundations of Assumed Strain Methods
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
Generalization of selective integration procedures to anisotropic and nonlinear media
Alternative ways for formulation of hybrid stress elements
Mixed and Hybrid Finite Element Methods
Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
A new stabilization technique for finite elements in non-linear elasticity
Aspects of the formulation and finite element implementation of large strain isotropic elasticity
A stabilization technique to avoid hourglassing in finite elasticity
A class of mixed assumed strain methods and the method of incompatible modes
Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
Reduced integration technique in general analysis of plates and shells
An Eulerian finite element formulation for modelling stationary finite strain elastic deformation processes
A new constitutive framework for arterial wall mechanics and a comparative study of material models