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

Morini, Lorenzo ORCID: https://orcid.org/0000-0001-7155-5036, Piccolroaz, A., Mishuris, G. and Radi, E. 2013. On fracture criteria for dynamic crack propagation in elastic materials with couple stresses. International Journal of Engineering Science 71 , pp. 45-61. 10.1016/j.ijengsci.2013.05.005

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Couple stress elasticity; Dynamic fracture; Steady-state propagation; Energy release rate; Fracture criterion
Publisher:	Elsevier
ISSN:	0020-7225
Last Modified:	21 Oct 2022 06:54
URI:	https://orca.cardiff.ac.uk/id/eprint/98731

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