An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method

DOI10.1007/s00466-011-0643-0zbMath1355.74072OpenAlexW1995509713MaRDI QIDQ424913

Shaofan Li, Ming-hua He

Publication date: 7 June 2012

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0643-0

zbMATH Keywords

dynamic fracturecrack propagationgeneralized Cauchy-Born rule

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (7)

A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids ⋮ Coarse-grained modeling and simulation of graphene sheets based on a discrete hyperelastic approach ⋮ Multiscale cohesive zone modeling of crack propagations in polycrystalline solids ⋮ Multiscale crystal defect dynamics: a coarse-grained lattice defect model based on crystal microstructure ⋮ Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives ⋮ Verification of a multiscale surface stress model near voids in copper under the load induced by external high electric field ⋮ An atomistic-based interphase zone model for crystalline solids

Cites Work

• Unnamed Item
• A multiscale cohesive zone model and simulations of fractures
• Molecular modeling and simulation. An interdisciplinary guide
• Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behavior
• Multi-scale cohesive laws in hierarchical materials
• A cohesive finite element for quasi-continua
• Numerical simulations of fast crack growth in brittle solids
• Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds
• Effective cohesive behavior of layers of interatomic planes
• Coupled multi-scale cohesive modeling of failure in heterogeneous adhesives
• Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis
• The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks
• A finite element method for crack growth without remeshing
• On the Cauchy—Born Rule

This page was built for publication: An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method