TY - JOUR

T1 - Steady-state propagation of a Mode III crack in couple stress elastic materials

AU - Mishuris, Gennady

AU - Radi, Enrico

AU - Piccolroaz, Andrea

N1 - Mishuris, G., Piccolroaz, A., Radi, E.(2012). Steady-state propagation of a Mode III crack in couple stress elastic materials. International Journal of Engineering Science, 61, 112-128

PY - 2012/12

Y1 - 2012/12

N2 - 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.

AB - 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.

U2 - 10.1016/j.ijengsci.2012.06.015

DO - 10.1016/j.ijengsci.2012.06.015

M3 - Article

VL - 61

SP - 112

EP - 128

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

ER -