The Earthquake Engineering Online ArchiveA Modified Cap Model: Closed Point Solution AlgorithmsHofstetter, G.; Simo, Juan C.; Taylor, Robert L. UCB/SEMM-1989/24, Dept. of Civil Engineering, University of California, Berkeley, 1989-12, 27 pages (500 C23 89/24) An application of the return mapping algorithm for the inviscid two invariant cap model, originally proposed by DiMaggio and Sandler, is presented. It is shown that the original cap model does not obey the principle of maximum plastic dissipation, because the hardening law for the cap is nonassociative, which leads to the undesirable feature of unsymmetric consistent tangent moduli. To overcome this drawback an associative hardening law is proposed for a restricted class of problems. Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-89-24.pdf (1 MB) |