caa a22 4500 465774210 CHVBK 20180323111937.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02023060 doi (NATIONALLICENCE)springer-10.1007/BF02023060 Computing material collapse displacement fields on a cray X-MP/48 by the LP primal affine scaling algorithm [Elektronische Daten] [E. Christiansen, K. Kortanek] A pair of dual, highly degenerate linear programs modeling the static and kinematic principles of limit analysis are studied. They arise from mixed finite element discretizations of the continuous saddle point problem and piecewise linear approximations of the convex unbounded Mises set of admissible stresses. We use piecewise constant stresses and piecewise bilinear displacements, and present computational results with the Affine Scaling Algorithm a la Dikin (1967) and Karmarker (1984). Graphical displays are presented for material collapse fields of a rectangular solid with thin cuts under tension, in problem sizes up to 9000 variables and 7700 equations. To our knowledge, these stress fields have not been computed before. J.C. Baltzer AG, Scientific Publishing Company, 1990 Christiansen E. Department of Mathematics, Odense University, DK-5230, Odense, Denmark aut Kortanek K. Department of Management Science, College of Business Administration, The University of Iowa, 52242, Iowa City, Iowa, USA aut Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 22/1(1990-12-01), 355-376 0254-5330 22:1<355 1990 22 10479 https://doi.org/10.1007/BF02023060 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02023060 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Christiansen E. Department of Mathematics, Odense University, DK-5230, Odense, Denmark aut NATIONALLICENCE 700 1- Kortanek K. Department of Management Science, College of Business Administration, The University of Iowa, 52242, Iowa City, Iowa, USA aut NATIONALLICENCE 773 0- Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 22/1(1990-12-01), 355-376 0254-5330 22:1<355 1990 22 10479 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer