Gradient elasticity applied to a crack

Abstract

The aim of this paper is to investigate the stress and the displacement field of a crack within a robust version of gradient elasticity, focusing at the standard Mode I, II, III problems. Special treatment is attributed to the crack configuration near its tip, deriving the gradient elasticity results that are analogous to the classical asymptotical solutions near the crack tip.

Keywords

• generalized functions
• gradient elasticity
• helmholtz equation
• non-singular crack fields