Energy-Conserving Time Discretization of Abstract Dynamic Problems with Applications in Continuum Mechanics of Solids

DOI10.1080/01630563.2017.1318915zbMath1375.35546arXiv1605.09762OpenAlexW2963266376MaRDI QIDQ5365294

Tomáš Roubíček, Christos G. Panagiotopoulos

Publication date: 6 October 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09762

zbMATH Keywords

damageplasticityinertianumerical approximationevolution variational inequalitiescomputational simulationsinelastic processesCrank Nicolson formulafractional-step splittingstandard solids with internal parameters

Mathematics Subject Classification ID

Quadratic programming (90C20) Friction in solid mechanics (74M10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Dynamical systems in solid mechanics (37N15) Partial differential inequalities and systems of partial differential inequalities (35R45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Brittle damage (74R05) Waves in solid mechanics (74J99) Problems involving hysteresis in solids (74N30) PDEs in connection with mechanics of deformable solids (35Q74) Numerical problems in dynamical systems (65P99) Numerical methods for variational inequalities and related problems (65K15)

Related Items (4)

A Mixed Finite Element-Based Numerical Method for Elastodynamics Considering Adhesive Interface Damage for Dynamic Fracture ⋮ Models of Dynamic Damage and Phase-field Fracture, and their Various Time Discretisations ⋮ Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables ⋮ A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains

This page was built for publication: Energy-Conserving Time Discretization of Abstract Dynamic Problems with Applications in Continuum Mechanics of Solids