Computation of the collapse state in limit analysis using the LP primal affine scaling algorithm

Abstract

The object of this work is twofold. The first goal is to demonstrate that for the duality problem of limit analysis with linearized yield condition the LP primal affine scaling algorithm shows properties, which are significantly different from those of the Simplex Method, and that, as a consequence of this, better results can be obtained. The second goal is to compute the collapse state for a classical and hard problem in plane strain: tension of a rectangular bar with symmetric thin cuts. Both the collapse multiplier and collapse fields are computed to a better accuracy and detail than previously.