The problem of a semi-infinite work-hardening material with a finite length asymmetric edge crack subjected to uniform remote longitudinal shear is solved exactly by the use of hodograph transformation and the Wiener-Hopf technique. The material behavior is governed by a pure power-hardening stress-strain relation and for monotone loading the results are valid for both deformation and flow theories of plasticity. Numerical values are obtained for the path independent J integral for several values of both the angle of asymmetry and the power-hardening exponent.
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Fully Plastic Asymmetric Edge Crack Under Longitudinal Shear
J. C. Amazigo
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, N. Y.
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Amazigo, J. C. (June 1, 1977). "Fully Plastic Asymmetric Edge Crack Under Longitudinal Shear." ASME. J. Appl. Mech. June 1977; 44(2): 255–258. https://doi.org/10.1115/1.3424034
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