Phase-field elasticity model based on mechanical jump conditions

2015 ◽  
Vol 55 (5) ◽  
pp. 887-901 ◽  
Author(s):  
Daniel Schneider ◽  
Oleg Tschukin ◽  
Abhik Choudhury ◽  
Michael Selzer ◽  
Thomas Böhlke ◽  
...  
Keyword(s):  
Phase Field ◽  
Jump Conditions ◽  
Model Based ◽  
Mechanical Jump Conditions

scholarly journals Phase-field modeling of fracture in heterogeneous materials: jump conditions, convergence and crack propagation

2020 ◽  
Author(s):  
Arne Claus Hansen-Dörr ◽  
Jörg Brummund ◽  
Markus Kästner
Keyword(s):  
Crack Propagation ◽  
Phase Field ◽  
Strain Energy ◽  
Heterogeneous Media ◽  
Phase Field Model ◽  
Diffuse Interface ◽  
Jump Conditions ◽  
Modeling Framework ◽  
Material Interfaces ◽  
Mechanical Jump Conditions

Abstract In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the regularized crack. The key novelty is the combination of a strain energy split with a partial rank-I relaxation in the vicinity of the diffuse interface. The former is necessary to account for physically meaningful crack kinematics like crack closure, the latter ensures the mechanical jump conditions throughout the diffuse region. The model is verified by a convergence study, where a circular bi-material disc with and without a crack is subjected to radial loads. For the uncracked case, analytical solutions are taken as reference. In a second step, the model is applied to crack propagation, where a meaningful influence on crack branching is observed, that underlines the necessity of a reasonable homogenization scheme. The presented model is particularly relevant for the combination of any variational strain energy split in the fracture phase-field model with a diffuse modeling approach for material heterogeneities.

scholarly journals Correction to: Small strain multiphase-field model accounting for configurational forces and mechanical jump conditions

2017 ◽  
Vol 61 (3) ◽  
pp. 297-297
Author(s):  
Daniel Schneider ◽  
Ephraim Schoof ◽  
Oleg Tschukin ◽  
Andreas Reiter ◽  
Christoph Herrmann ◽  
...  
Keyword(s):  
Field Model ◽  
Small Strain ◽  
Configurational Forces ◽  
Jump Conditions ◽  
Mechanical Jump Conditions

scholarly journals A conserved phase-field model based on type II heat conduction

2018 ◽  
Vol 3 (2) ◽  
pp. 288-297
Author(s):  
Franck Davhys Reval Langa ◽  
◽  
Armel Judice Ntsokongo
Keyword(s):  
Heat Conduction ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Type Ii ◽  
Model Based
Sign in / Sign up

Export Citation Format

Share Document