
Accession Number : ADA134868
Title : Plane Stress CrackLine Fields for Crack Growth in an Elastic PerfectlyPlastic Material.
Descriptive Note : Interim rept.,
Corporate Author : NORTHWESTERN UNIV EVANSTON IL STRUCTURAL MECHANICS LAB
Personal Author(s) : Achenbach,J D ; Li,Z L
PDF Url : ADA134868
Report Date : 01 Sep 1983
Pagination or Media Count : 26
Abstract : ModeI crack growth in an elastic perfectlyplastic material under conditions of generalized plane stress has been investigated. In the plastic loading zone, near the plane of the crack, the stresses and strains have been expanded in powers of the distance, y, to the crack line. Substitution of the expansions in the equilibrium equations, the yield condition and the constitutive equations yields a system of simple ordinary differential equations for the coefficients of the expansions. This system is solvable if it is assumed that the cleavage stress is uniform on the crack line. By matching the relevant stress components and particle velocities to the dominant terms of appropriate elastic fields at the elasticplastic boundary, a complete solution has been obtained for epsilon sub y in the plane of the crack. The solution depends on crackline position and time, and applies from the propagating crack tip up to the moving elasticplastic boundary. Numerical results are presented for the edge crack geometry.
Descriptors : *Plastics, *Stresses, *Crack propagation, Theory, Cracks, Geometry, Edges, Elastic properties, Plastic properties, Mathematical analysis
Subject Categories : Plastics
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE