A virtual element method for transversely isotropic hyperelasticity
From MaRDI portal
Publication:2246310
DOI10.1016/j.cma.2021.114108OpenAlexW3197077346MaRDI QIDQ2246310
Daniel van Huyssteen, Reddy, B. Daya
Publication date: 16 November 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2021.114108
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Alternative Approaches to the Stabilization of Virtual Element Formulations for Hyperelasticity ⋮ The incorporation of mesh quality in the stabilization of virtual element methods for nonlinear elasticity ⋮ On mesh refinement procedures for the virtual element method for two-dimensional elastic problems ⋮ On adaptive mesh coarsening procedures for the virtual element method for two-dimensional elastic problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Serendipity face and edge VEM spaces
- Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Serendipity nodal VEM spaces
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Fiber-reinforced materials: finite elements for the treatment of the inextensibility constraint
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Efficient virtual element formulations for compressible and incompressible finite deformations
- Serendipity virtual elements for general elliptic equations in three dimensions
- Algorithms for the decomposition of a polygon into convex polygons
- A mixed finite element formulation for compressible finite hyperelasticity with two fibre family reinforcement
- A virtual element method for isotropic hyperelasticity
- Some basic formulations of the virtual element method (VEM) for finite deformations
- A virtual element method for transversely isotropic elasticity
- \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
- Mean-strain eight-node hexahedron with optimized energy-sampling stabilization for large-strain deformation
- Automation of Finite Element Methods
- Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity
- Equivalence between mixed models and displacement models sing reduced integration
- Reduced integration and the shear-flexible beam element
- A non-conforming element for stress analysis
- Development of shear locking-free shell elements using an enhanced assumed strain formulation
- An Introduction to Nonlinear Finite Element Analysis
- Stability and Convergence of a Class of Enhanced Strain Methods
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Mixed Finite Element Methods and Applications
- Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains
- The Hitchhiker's Guide to the Virtual Element Method
- A class of mixed assumed strain methods and the method of incompatible modes
- Classical and Computational Solid Mechanics
- A new constitutive framework for arterial wall mechanics and a comparative study of material models