Gradient Elasticity with Surface Energy: Mode-III Crack Problem

Authors

I. Vardoulakis, National Technical University of Athens
G. Exadaktylos, Technical University of Crete
Elias C. Aifantis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

12-1996

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

In this paper an anisotropic strain-gradient dependent theory of elasticity is exploited, which contains both volumetric and surface energy gradient dependent terms. The theory is applied to the solution of the mode-III crack problem and is extending previous results by Aifantis and coworkers. The two boundary value problems corresponding to the "unclamped" and "clamped" crack tips, respectively, are solved analytically. It turns out that the first problem is physically questionable for some values of the surface energy parameter, whereas the second boundary value problem is leading to a cusping crack, which is consistent with Barenblatt's theory without the incorporation of artificial assumptions.

Publisher's Statement

© 1996

Publication Title

International Journal of Solids and Structures

Recommended Citation

Vardoulakis, I., Exadaktylos, G., & Aifantis, E. C. (1996). Gradient Elasticity with Surface Energy: Mode-III Crack Problem. International Journal of Solids and Structures, 33(30), 4531-4559. http://doi.org/10.1016/0020-7683(95)00277-4
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5311