On fracture criteria for dynamic crack propagation in elastic materials with couple stresses

L. Morini*, A. Piccolroaz, G. Mishuris, E. Radi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Citations (SciVal)
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Abstract

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is considered. The micropolar behavior of the material is described by the theory of couple-stress elasticity developed by Koiter. This constitutive model includes the characteristic lengths in bending and torsion, and thus it is able to account for the underlying microstructures of the material. Both translational and micro-rotational inertial terms are included in the balance equations, and the behavior of the solution near to the crack tip is investigated by means of an asymptotic analysis. The asymptotic fields are used to evaluate the dynamic J-integral for a couple-stress material, and the energy release rate is derived by the corresponding conservation law. The propagation stability is studied according to the energy-based Griffith criterion and the obtained results are compared to those derived by the application of the maximum total shear stress criterion.
Original languageEnglish
Pages (from-to)45-61
Number of pages17
JournalInternational Journal of Engineering Science
Volume71
Early online date10 Jul 2013
DOIs
Publication statusPublished - Oct 2013

Keywords

  • Couple stress elasticity
  • Dynamic fracture
  • Steady-state propagation
  • Energy release rate
  • Fracture criterion
  • MODE-III CRACK
  • GRADIENT ELASTICITY
  • T-STRESS
  • SOLIDS
  • GROWTH
  • LENGTHS
  • MODULI
  • TIP

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