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Interaction of cracks with dislocations in couple-stress elasticity
conference contribution
posted on 2018-10-25, 10:30 authored by Konstantinos BaxevanakisKonstantinos Baxevanakis, P.A. Gourgiotis, H.G. GeorgiadisIn the present work we study the interaction of a finite-length crack with a climb dislocation within the framework of the generalized continuum theory of couple-stress elasticity. Our approach is based on the
distributed dislocation technique. Due to the nature of the boundary conditions that arise in couple-stress elasticity, the crack is modeled by a continuous distribution of climb dislocations and constrained wedge disclinations. These distributions produce both standard stresses and couple stresses in the body. The final results are obtained by numerically solving a system of coupled singular integral equations with both Cauchy and logarithmic kernels. The results for the near-tip fields differ in several respects from the predictions of the classical fracture mechanics. In particular, the present results indicate that a cracked solid governed by couple-stress elasticity behaves in a more rigid way (having increased stiffness) as compared to a solid governed by classical elasticity. Also, the stress level at the crack tip region is appreciably higher, within a small zone adjacent to the tip, than the one predicted by classical elasticity while the crack-face displacements and rotations are significantly smaller that the respective ones in classical elasticity.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
10th HSTAM International Congress on MechanicsCitation
BAXEVANAKIS, K.P., GOURGIOTIS, P.A. and GEORGIADIS, H.G., 2013. Interaction of cracks with dislocations in couple-stress elasticity. Presented at the 10th HSTAM 2013 International Congress on Mechanics, Chania, Crete, Greece, 25-27 May 2013.Publisher
Technical University of Crete Publishing HouseVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2013Notes
This is a conference paper.Publisher version
Language
- en