SYMPOSIA PAPER Published: 01 January 1985
STP36219S

Crack Separation Energy Rates for Inclined Cracks in a Biaxial Stress Field of an Elastic-Plastic Material

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Elastic-plastic finite element analyses are described for plates containing inclined cracks and subjected to biaxial loads given by λ equal to σQP where σP is the main principal tensile stress and σQ is the second in-plane principal stress. Three loading modes, λ equal to −0.5, −1, and 0.5 are considered and are compared also with previous results for the uniaxial mode λ = 0 and the equibiaxial mode λ = 1. Qualitative and quantitative information is presented on crack-tip opening displacements, on plastic strains and on maximum stresses near the crack tip. The analyses include calculations of J contour integrals and of crack separation energy rates GΔ for coplanar crack extension. Estimates of GΔ for nonplanar crack growth applicable to cases where the plastic flow is small are also made and used in conjunction with a fracture criterion based on maximum GΔ. The implications of these analyses for fatigue crack growth, in terms of plastic zone sizes, shapes, and orientation, are discussed with regard to (a) modes of cracking, (b) stress biaxiality, and (c) crack inclinations, and are then related to experimental results under mixed mode (I and II) loading conditions in stainless steel.

Author Information

Kfouri, AP
University of Sheffield, Sheffield, U.K.
Miller, KJ
University of Sheffield, Sheffield, U.K.
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Details
Developed by Committee: E08
Pages: 88–107
DOI: 10.1520/STP36219S
ISBN-EB: 978-0-8031-4921-2
ISBN-13: 978-0-8031-0444-0