Steady-state propagation of a Mode III crack in couple stress elastic materials

Gennady Mishuris, Enrico Radi, Andrea Piccolroaz

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

47 Dyfyniadau(SciVal)
129 Wedi eu Llwytho i Lawr (Pure)


This paper is concerned with the problem of a semi-infinite crack steadily propagating in an elastic solid with microstructures subject to antiplane loading applied on the crack surfaces. The loading is moving with the same constant velocity as that of the crack tip. We assume subsonic regime, that is the crack velocity is smaller than the shear wave velocity. The material behaviour is described by the indeterminate 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 microstructure of the material as well as for the strong size effects arising at small scales and observed when the representative scale of the deformation field becomes comparable with the length scale of the microstructure, such as the grain size in a polycrystalline or granular aggregate. The present analysis confirms and extends earlier results on the static case by including the effects of crack velocity and rotational inertia. By adopting the criterion of maximum total shear stress, we discuss the effects of microstructural parameters on the stability of crack propagation.
Iaith wreiddiolSaesneg
Tudalennau (o-i)112-128
Nifer y tudalennau17
CyfnodolynInternational Journal of Engineering Science
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - Rhag 2012

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