Accession Number : ADA134868

Title :   Plane Stress Crack-Line Fields for Crack Growth in an Elastic Perfectly-Plastic 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 : Mode-I crack growth in an elastic perfectly-plastic 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 elastic-plastic boundary, a complete solution has been obtained for epsilon sub y in the plane of the crack. The solution depends on crack-line position and time, and applies from the propagating crack tip up to the moving elastic-plastic 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