Phase-field simulation and coupled criterion link echelon cracks to internal length in antiplane shear

Gergely Molnár, Aurélien Doitrand, Véronique Lazarus

Research output: Contribution to journalArticlepeer-review

Abstract

This paper provides a comprehensive numerical analysis of daughter crack localization in pure antiplane shear. Although antiplane shear fracture is important in various industrial applications, understanding the morphology of the resulting fragmentation remains challenging. The paper develops innovative phase-field models to induce the facets using a small spatial variation in the toughness field and examines the impact of numerical and material parameters on the newly formed daughter cracks’ shape and spacing. Through meticulous comparison to the coupled criterion, the paper reveals a compelling connection between the internal length-scale of damage regularization, Irwin's length and the facet crack spacing. Furthermore, the effect of Poisson's ratio on the crack form and spacing is investigated: the results reveal a significant influence and showcase comparable initiation distances between the numerical simulations and experimental measurements in pure antiplane loading.

Original languageEnglish
Article number105675
JournalJournal of the Mechanics and Physics of Solids
Volume188
DOIs
Publication statusPublished - 1 Jul 2024

Keywords

  • Antiplane shear
  • Coupled criterion
  • Echelon cracks
  • Internal length
  • Mode III loading
  • Phase-field fracture

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