Elastic-Plastic Analysis for Cracked Members

[+] Author and Article Information
P. D. Hilton

Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, Pa.

J. Pressure Vessel Technol 98(1), 47-55 (Feb 01, 1976) (9 pages) doi:10.1115/1.3454325 History: Received March 28, 1975; Online October 25, 2010


Elastic-plastic finite element analyses are performed for cracked specimens of various geometries and material properties. The calculations are based on the small strain, J2 -deformation theory of plasticity; employing a power hardening model for the material behavior under uniaxial tensile loading. The finite element procedure includes the use of a specialized plastic, crack tip singularity element; and, it is applicable to the geometric idealizations of plane stress, plane strain, and axial symmetry. Results are presented for tensile and bending specimens containing exterior cracks and for a hollow cylindrical specimen with a circumferential crack subjected to tensile and pressure loading. Numerical values are reported for the plastic intensity factor, the crack face separation at the exterior surface, and the J-integral. Both the implications of these results to fracture prediction and the limitations on their applicability as a consequence of geometric and material modeling idealizations are discussed.

Copyright © 1976 by ASME
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