High-order virtual element method for the homogenization of long fiber nonlinear composites

DOI10.1016/j.cma.2018.07.012zbMath1440.74338OpenAlexW2883186548MaRDI QIDQ1986641

Elio Sacco, Sonia Marfia, Edoardo Artioli

Publication date: 9 April 2020

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.2018.07.012

zbMATH Keywords

fiber-reinforced compositematerial nonlinearitypolygonhigh-order methodcomputational homogenizationvirtual element method

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Finite element methods applied to problems in solid mechanics (74S05) Homogenization in equilibrium problems of solid mechanics (74Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (16)

VEM Approach for Homogenization of Fibre-Reinforced Composites with Curvilinear Inclusions ⋮ On mesh refinement procedures for the virtual element method for two-dimensional elastic problems ⋮ Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems ⋮ Curvilinear virtual elements for 2D solid mechanics applications ⋮ VEM-based tracking algorithm for cohesive/frictional 2D fracture ⋮ Virtual element method for phase field modeling of dynamic fracture ⋮ Mixed virtual element formulations for incompressible and inextensible problems ⋮ Electro-magneto-mechanically response of polycrystalline materials: computational homogenization via the virtual element method ⋮ Virtual elements and zero thickness interface-based approach for fracture analysis of heterogeneous materials ⋮ Computational homogenization of polycrystalline materials with the virtual element method ⋮ An enhanced VEM formulation for plane elasticity ⋮ Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains ⋮ The Stokes complex for virtual elements with application to Navier-Stokes flows ⋮ Some virtual element methods for infinitesimal elasticity problems ⋮ The virtual element method in nonlinear and fracture solid mechanics ⋮ Virtual elements for sound propagation in complex poroelastic media

Uses Software

• HYPLAS

Cites Work

• Unnamed Item
• Homogenization techniques for the analysis of porous SMA
• Equivalent projectors for virtual element methods
• Effective longitudinal shear moduli of periodic fibre-reinforced composites with radially-graded fibres
• Heterogeneous crystal and poly-crystal plasticity modeling from a transformation field analysis within a regularized Schmid law
• New variational principles in plasticity and their application to composite materials
• Nonuniform transformation field analysis
• A micromechanical model for the analysis of unidirectional elastoplastic composites subjected to 3D stresses
• \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
• 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
• Homogenization of elastic-viscoplastic composites by the mixed TFA
• A low order virtual element formulation for finite elasto-plastic deformations
• Computational homogenization of composites experiencing plasticity, cracking and debonding phenomena
• Reduced basis hybrid computational homogenization based on a mixed incremental formulation
• A virtual element method for elastic and inelastic problems on polytope meshes
• Virtual Elements for Linear Elasticity Problems
• Micromechanics and Homogenization of SMA-Wire-Reinforced Materials
• Transformation field analysis of inelastic composite materials
• An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• VEM for Inelastic Solids
• Towards a micromechanics-based inelastic and damage modeling of composites

This page was built for publication: High-order virtual element method for the homogenization of long fiber nonlinear composites