Vol. 13, No. 3, 2018

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Interaction of shear cracks in microstructured materials modeled by couple-stress elasticity

Panos A. Gourgiotis

Vol. 13 (2018), No. 3, 401–419
Abstract

The interaction of two colinear in-plane shear cracks is investigated within the context of couple-stress elasticity. This theory introduces characteristic material length scales that emerge from the underlying microstructure and has proved to be very effective for modeling complex microstructured materials. An exact solution of the boundary value problem is obtained through integral transforms and singular integral equations. The main goal is to explain the size effects that are experimentally observed in fracture of brittle microstructured materials. Two basic configurations are considered: a micro-macrocrack interaction, and a micro-microcrack interaction. Numerical results are presented illustrating the effects of couple-stresses on the stress intensity factor and the energy release rate. It is shown that significant deviations from the predictions of the standard LEFM occur when the geometrical lengths of the problem become comparable to the characteristic material length of the couple-stress theory revealing that in such cases it is inadequate to analyze fracture problems employing only classical elasticity considerations.

Keywords
Cosserat media, energy release rate, micro-macrocrack interaction, crack shielding, microstructure
Milestones
Received: 12 April 2018
Accepted: 20 April 2018
Published: 31 August 2018
Authors
Panos A. Gourgiotis
Department of Engineering
Durham University
Durham
United Kingdom