Strain gradient elasticity theory for antiplane shear cracks. Part II: Monotonic displacements
Document Type
Article
Publication Date
1-1-2000
Abstract
Solutions of crack problems for a strain gradient elastic theory whose crack opening displacements are monotonic rather than oscillatory in profile are examined in this (portion of a two-part) paper. A new analytical solution having a simple form is also obtained through the introduction of parabolic cylindrical coordinates and expansion of the imposed displacement along the crack surfaces in terms of orthogonal polynomials. Uniqueness of solution is also discussed, as well as finite-difference approximations of the governing equations for use in numerical solutions of boundary value problems.
Publication Title
Theoretical and Applied Fracture Mechanics
Recommended Citation
Unger, D.,
&
Aifantis, E.
(2000).
Strain gradient elasticity theory for antiplane shear cracks. Part II: Monotonic displacements.
Theoretical and Applied Fracture Mechanics,
34(3), 253-265.
http://doi.org/10.1016/S0167-8442(00)00042-2
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/7436