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    Bounds for Fully Plastic Crack Problems for Infinite Bodies

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    For cracks in infinite bodies it is shown that modified principles of complementary potential energy and potential energy can be used to generate upper and lower bounds to the J-integral of the deformation theory of plasticity. These principles are used to obtain relatively tight numerical bounds on J for two basic plane strain problems: the finite crack in an infinite plane and the edge-crack in a semi-infinite plane. In both problems the material is incompressible with a pure power relation between stress and strain. Upper bounds for the plane stress problems are also given.


    nonlinear fracture mechanics, fully plastic crack problems, J-integral, bounds, elastic-plastic fracture

    Author Information:

    He, MY
    Researcher, Institute of Mechanics, Chinese Academy of Sciences, Beijing,

    Hutchinson, JW
    Professor of applied mechanics, Division of Applied Sciences, Harvard University, Cambridge, Mass.

    Committee/Subcommittee: E08.08

    DOI: 10.1520/STP37300S