BRIEF NOTES A Flow Potential Function for Hyperbolic Sine Creep

Abstract

Table 1 p|q, 2 The distribution of hydrostatic stress p along the v-axis of symmetry "f ihe nlastlc field, for elliptical holes of aspect ratio a/b > 1 of the plastic f dx ay __ d£ x H . d0 (4a) (46) On substituting (4) into the expressions for xp and yp, and carrying out an integration by parts, we obtain the following set of equations for the moving coordinates These equations can now be rewritten in a form suitable for numerical integration, with the aid of (3), as follows: In the present application of (6) the argument Z of the Bessel functions is complex; thus the modified Bessel functions h(Z) = -iJ\(iZ) and h(Z) = Jo(iZ) are used in the numerical quadrature of the line integrals. The Solution of the Elliptical-Hole Problem Equations . + sin 0 w the application of the present solution to the problem of the stapihty of incompressible plasticity in the presence of microvoids Reference