On configurational forces in the context of the finite element method

DOI10.1002/nme.351zbMath1114.74489OpenAlexW2107320300MaRDI QIDQ4329158

S. Kolling, Ralf Mueller, Dietmar Gross

Publication date: 29 April 2002

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

Full work available at URL: https://doi.org/10.1002/nme.351

zbMATH Keywords

finite elements configurational forces inhomogeneity \(J\)-integral material forces energy-momentum tensor (Eshelby)

Mathematics Subject Classification ID

Brittle fracture (74R10) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (40)

Numerical simulation of fracking in shale rocks: current state and future approaches ⋮ On a solution strategy for energy-based mesh optimization in finite hyperelastostatics ⋮ Long time existence for the wave equation with a noise term ⋮ Simultaneous solution of 1D momentum and canonical momentum equations ⋮ An integrated approach to shape optimization and mesh adaptivity based on material residual forces ⋮ Material forces and phase transitions in elasticity ⋮ Configurational-force interface model for brittle fracture propagation ⋮ A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization ⋮ Inhomogeneity and material configurational forces in three-dimensional ferroelectric polycrystals ⋮ An implicit adaptive node-splitting algorithm to assess the failure mechanism of inelastic elastomeric continua ⋮ A comparison of different approaches in the multi-scale computation of configurational forces ⋮ A configurational force driven cracking particle method for modelling crack propagation in 2D ⋮ Material forces in continuum damage material ⋮ Interaction between a crack and 180°-domain wall in piezoelectric materials ⋮ Material Forces in Finite Element Discretizations ⋮ Equivalent configurational stress to predict material yielding and crack propagation ⋮ Configurational forces in ferroelectric structures analyzed by a macromechanical switching model ⋮ Configurational forces and their application in solid mechanics ⋮ Crack tip shielding or anti-shielding due to smooth and discontinuous material inhomogeneities ⋮ A computational framework of three-dimensional configurational-force-driven brittle crack propagation ⋮ Three-dimensional finite elements with embedded strong discontinuities to model failure in electromechanical coupled materials ⋮ Numerical homogenization of the Eshelby tensor at small strains ⋮ Energy-based r-adaptivity: a solution strategy and applications to fracture mechanics ⋮ Phase field simulation of domain structures in ferroelectric materials within the context of inhomogeneity evolution ⋮ Dislocation tri-material solution in the analysis of bridged crack in anisotropic bimaterial half-space ⋮ Combination of the material force concept and the extended finite element method for mixed mode crack growth simulations ⋮ Material forces in open system mechanics ⋮ Application of the material force method to thermo-hyperelasticity ⋮ Phase field simulation of domain structures in cracked ferroelectrics ⋮ A numerical strategy for investigating the kinetic response of stimulus-responsive hydrogels ⋮ On configurational forces in short-time dynamics and their computation with an explicit solver ⋮ \(J\)-integral and crack driving force in elastic-plastic materials ⋮ A framework for fracture modelling based on the material forces concept with XFEM kinematics ⋮ A Performance Study on Configurational Force and Spring-Analogy Based Mesh Optimization Schemes ⋮ Material forces for inelastic models at large strains: Application to fracture mechanics ⋮ A combined \(r-h\) adaptive strategy based on material forces and error assessment for plane problems and bimaterial interfaces ⋮ On variational sensitivity analysis and configurational mechanics ⋮ The equilibrium of material forces in a 1D phase transition problem ⋮ Energy Based Adaptive Strategy for Plates and Laminates ⋮ Investigation on thermomechanical fracture in the framework of configurational forces

Cites Work

This page was built for publication: On configurational forces in the context of the finite element method