A series-method for constructing plastic slipline fields

Abstract A power-series method is developed for the numerical computer construction of any rigid/plastic plane-strain slipline field defined by two suitably smooth orthogonal slipline segments. Extensions to other slipline problems are examined and as an example the stress-free surface starting from an initial known slipline is determined. The radii of curvature, cartesian coordinates, tractions and moments acting on line-segments for the field defined by two equal circular arcs are tabulated at 10° intervals of net angle turned through up to 90°.