Accession Number:

AD0659300

Title:

PLANE STRAIN DEFORMATION NEAR A CRACK TIP IN A POWER LAW HARDENING MATERIAL

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING

Personal Author(s):

Report Date:

1967-07-01

Pagination or Media Count:

25.0

Abstract:

Crack tip strain singularities are investigated with the aid of an energy line integral exhibiting path independence for all contours surrounding a crack tip in a two dimensional deformation field of an elastic material or elastic-plastic material treated by a deformation theory. It is argued that the product of stress and strain exhibits a singularity varying inversely with distance from the tip in all materials. Corresponding near crack tip stress and strain fields are obtained for the plane straining of an incompressible elastic- plastic material hardening according to a power law. A noteworthy feature of the solution is the rapid rise of triaxial stress concentration above the flow stress with increasing values of the hardening exponent. Results are presented graphically for a range of hardening exponents, and the interpretation of the solution is aided by a discussion of analogous results in the better understood anti-plane strain case.

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE