KPB et al_2017_shear.pdf (652.8 kB)
Interaction of cracks with dislocations in couple-stress elasticity. Part II: Shear modes
journal contribution
posted on 2017-05-22, 11:00 authored by Konstantinos BaxevanakisKonstantinos Baxevanakis, P.A. Gourgiotis, H.G. GeorgiadisIn the second part of this study, the interaction of a finite-length crack with a glide and a screw dislocation is examined within the framework of couple-stress elasticity. The loading from the two defects on the crack results to plane and antiplane shear modes of fracture, respectively. Both problems are attacked using the distributed dislocation technique and the cracks are modeled using distributions of discrete glide or screw dislocations. The antiplane strain case is governed by a single hyper-singular integral equation with a cubic singularity, whereas the plane strain case by a singular integral equation. In both cases, the
integral equations are numerically solved using appropriate collocation techniques. The
results obtained herein show that a crack under antiplane conditions closes in a smoother way as compared to the classical elasticity result. Further, the evaluation of the energy release rate in the crack tips reveals an ‘alternating’ behavior between strengthening and weakening effects in the plane strain case, depending on the defect’s distance from the crack tip and the
magnitude of the characteristic material length. On the other hand, the energy release rate in the antiplane mode shows a strengthening effect when couple-stresses are considered.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
International Journal of Solids and StructuresVolume
118-9Pages
192-203Citation
BAXEVANAKIS, K.P., GOURGIOTIS, P.A. and GEORGIADIS, H.G., 2017. Interaction of cracks with dislocations in couple-stress elasticity. Part II: Shear modes. International Journal of Solids and Structures, 118-119, pp. 192-203.Publisher
© ElsevierVersion
- 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/Acceptance date
2017-03-18Publication date
2017-03-20Copyright date
2017Notes
This paper was published in the journal International Journal of Solids and Structures and the definitive published version is available at https://doi.org/10.1016/j.ijsolstr.2017.03.021.ISSN
0020-7683Publisher version
Language
- es