Abstract
AbstractIn this contribution, a variational framework for diffuse modeling of cracks in heterogeneous media is analyzed. 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 applied to crack propagation, where a significant influence on crack branching is observed, that underlines the necessity of a reasonable homogenization scheme for the diffuse interface region.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
