A Comparison of Elastic-Plastic Fracture Parameters in Biaxial Stress States

    Published: Jan 1979

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    Parameters used in fracture predictions in elastic-plastic materials will differ from those used when the material is elastic. However, the first set of parameters may reduce to the latter in the limiting case of brittle behavior involving minimal plasticity. Analyses of the stress and plastic strain fields in the region of the crack tip and evaluations of energy release rates are therefore relevant to studies on fracture processes in engineering materials. It is becoming generally recognized that more than one parameter is needed in the formulation of a realistic fracture criterion applicable to elastic-plastic materials. In particular, such a criterion must take into account the possible biaxial nature of the applied stress.

    This paper presents some of the results of extensive elastic-plastic finite-element analyses on a center-cracked plate. Information is provided, and comparisons made, on such features as crack-tip plastic zone sizes, intensities of plastic strain near the tip, the major principal stress in the crack-tip region, crack opening displacements, values of the J contour integral, and crack separation energy rates GΔ—all corresponding to different biaxial stress states.


    biaxiality, center-cracked plate, compact tension specimen, crack growth step, crack-tip opening displacement, crack-tip plasticity, crack tip plastic zone sizes, crack-tip stresses and strains, crack separation energy rate, elastic-plastic fracture mechanics, finite-element method, Griffith's energy release rate, incremental-load initial-stress elastic-plastic finite-element analysis, J, contour integral, small-scale yielding, crack propagation

    Author Information:

    Miller, KJ
    Professor and research fellow, Faculty of Engineering, University of Sheffield, Sheffield, U. K.

    Kfouri, AP
    Professor and research fellow, Faculty of Engineering, University of Sheffield, Sheffield, U. K.

    Committee/Subcommittee: E08.08

    DOI: 10.1520/STP35832S

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