The virtual element method in nonlinear and fracture solid mechanics
DOI10.1007/978-3-030-95319-5_11zbMath1503.65217OpenAlexW4312337730MaRDI QIDQ2106430
Elio Sacco, Edoardo Artioli, Sonia Marfia
Publication date: 14 December 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-95319-5_11
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Random materials and composite materials (74A40) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Computational inelasticity
- Three-dimensional model for solids undergoing stress-induced phase transformations
- Plasticity. Mathematical theory and numerical analysis
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A virtual element method for contact
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem
- Asymptotic homogenization of fibre-reinforced composites: a virtual element method approach
- A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes
- Virtual elements and zero thickness interface-based approach for fracture analysis of heterogeneous materials
- A virtual element method for 2D linear elastic fracture analysis
- High-order virtual element method for the homogenization of long fiber nonlinear composites
- An enhanced VEM formulation for plane elasticity
- Extended virtual element method for the Laplace problem with singularities and discontinuities
- Curvilinear virtual elements for 2D solid mechanics applications
- VEM-based tracking algorithm for cohesive/frictional 2D fracture
- A low order virtual element formulation for finite elasto-plastic deformations
- Rate-independent systems. Theory and application
- Phenomenological 3D and 1D consistent models for shape-memory alloy materials
- A virtual element method for elastic and inelastic problems on polytope meshes
- Virtual Elements for Linear Elasticity Problems
- A nonlinear plate finite element formulation for shape memory alloy applications
- An incremental energy minimization state update algorithm for 3D phenomenological internal-variable SMA constitutive models based on isotropic flow potentials
- Interface Elements for the Analysis of Masonry Structures
- A 3D SMA constitutive model in the framework of finite strain
- Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- VEM for Inelastic Solids
- The Hitchhiker's Guide to the Virtual Element Method
- Combining interface damage and friction in a cohesive‐zone model
- On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
This page was built for publication: The virtual element method in nonlinear and fracture solid mechanics
