Discrete Description of Crack Kinematics in Regularized Free Discontinuities of Crack Faces

Research output: Contribution to book/conference proceedings/anthology/reportChapter in book/anthology/reportContributedpeer-review

Contributors

Abstract

The fracture mechanical free discontinuity problem can be associated with a generalized, variational approach of GRIFFITH’s fracture theory. By introducing a regularization for the sharp displacement discontinuity at cracks and crack surfaces, stable computational fracture models are developed, e.g., the phase-field fracture formulation and the eigenfracture approach. The presented work summarizes recent findings regarding unrealistic deformation kinematics at cracks predicted by conventional formulations of both models and introduces the variational framework of Representative Crack Element to overcome these discrepancies. Illustrative examples for crack propagation and post-fracture behavior at small and finite deformations, brittle and cohesive failure as well as for rate-dependent materials frictional crack contact demonstrate the flexibility and the generality of the introduced Representative Crack Element.

Details

Original languageEnglish
Title of host publicationMaterial Modeling and Structural Mechanics
PublisherSpringer, Cham
Pages271-310
Number of pages40
ISBN (electronic)978-3-030-97675-0
Publication statusPublished - 30 Mar 2022
Peer-reviewedYes

Publication series

SeriesAdvanced structured materials
Volume161
ISSN1869-8433

External IDs

Scopus 85127635142
unpaywall 10.1007/978-3-030-97675-0_11
Mendeley 74566514-1a9d-3004-9144-10465e74b084
ORCID /0000-0002-6115-6493/work/142250894

Keywords

ASJC Scopus subject areas

Keywords

  • Representative crack element, Free discontinuity, Phase-field fracture, Eigenfracture