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asymptotic boundary condition Cartesian coordinates Cherepanov cohesive force constant coordinate system crack growth crack length crack problem crack propagation crack tip opening crack velocity curve D. J. Unger defined deformation theory Dugdale model elastic stresses elastic-plastic boundary elastoplastic problem elastoplastic solution elliptic equilibrium FIGURE fracture mechanics hardening Headington Hill Hall Hult-McClintock hydrogen increment infinite plate initial value problem integral linear elastic linear elastic solution Mech Mises yield condition mode III problem modes of fracture Monge-Ampere equation obtain parabolic parameter partial derivatives partial differential equation perfectly plastic material permission from Pergamon plane strain plane stress plastic region plastic strain plastic stress function plastic strip model plastic zone polar coordinates Prandtl principal stresses relationship shear stress shown in Fig slip line small-scale yielding solution solved stress field stress intensity factor substituting tensile tion tip opening displacement traction Tresca yield condition yield stress yield surface zero
Page 301 - On Discontinuous Plastic States, with Special Reference to Localized Necking in Thin Sheets", J.
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