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

E. Christiansen; K.O. Kortanek

doi:10.1016/0377-0427(91)90147-C

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

Journal article

Open access

Peer reviewed

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

E. Christiansen and K.O. Kortanek

Journal of computational and applied mathematics, Vol.34(1), pp.47-63

02/10/1991

DOI: 10.1016/0377-0427(91)90147-C

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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.

finite elements

limit analysis

Plasticity

primal affine scaling

Details

Title: Subtitle: Computation of the collapse state in limit analysis using the LP primal affine scaling algorithm
Creators: E. Christiansen - Department of Mathematics and Computer Science, Odense University, Compusvej 55, DK-5230, Odense, Denmark
K.O. Kortanek - University of Iowa
Resource Type: Journal article
Publication Details: Journal of computational and applied mathematics, Vol.34(1), pp.47-63
DOI: 10.1016/0377-0427(91)90147-C
ISSN: 0377-0427
eISSN: 1879-1778
Publisher: Elsevier B.V
Number of pages: 17
Language: English
Date published: 02/10/1991
Academic Unit: Business Analytics
Record Identifier: 9984963200902771

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