A variational discrete element method for quasistatic and dynamic elastoplasticity

DOI10.1002/nme.6460zbMATH Open1548.74851MaRDI QIDQ6554348

Frédéric Marazzato, Laurent Monasse, Alexandre Ern

Publication date: 12 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

nonlinear dynamicstime integrationplasticitysolidsdiscrete element methodexplicit

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) 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

• Consistent tangent operators for rate-independent elastoplasticity
• The gradient discretisation method
• Accurate modelling of the elastic behavior of a continuum with the discrete element method
• Combining the modified discrete element method with the virtual element method for fracturing of porous media
• Numerical analysis of the primal problem of elastoplasticity with hardening
• A finite volume scheme for anisotropic diffusion problems
• An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
• A novel DEM approach for modeling brittle elastic media based on distinct lattice spring model
• Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter
• An energy-preserving Discrete Element Method for elastodynamics
• Cell centered Galerkin methods for diffusive problems
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• High-density sphere packing for discrete element method simulations
• An Interior Penalty Finite Element Method with Discontinuous Elements
• On the elastic plastic initial-boundary value problem and its numerical integration
• Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
• Error analysis of the reproducing kernel particle method

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