A new discontinuous upper bound limit analysis formulation

Title: A new discontinuous upper bound limit analysis formulation
Creator: Krabbenhoft, Kristian; Lyamin, Andrei V.; Hjiaj, Mohammed; Sloan, Scott W.
Relation: International Journal for Numerical Methods in Engineering Vol. 63, Issue 7, p. 1069-1088
Publisher Link: http://dx.doi.org/10.1002/nme.1314
Publisher: John Wiley & Sons, Ltd.
Resource Type: journal article
Date: 2005
Description: A new upper bound formulation of limit analysis of two- and three-dimensional solids is presented. In contrast to most discrete upper bound methods the present one is formulated in terms of stresses rather than velocities and plastic multipliers. However, by means of duality theory it is shown that the formulation does indeed result in rigorous upper bound solutions. Also, kinematically admissible discontinuities, which have previously been shown to be very efficient, are given an interpretation in terms of stresses. This allows for a much simpler implementation and, in contrast to existing formulations, extension to arbitrary yield criteria in two and three dimensions is straightforward. Finally, the capabilities of the new method are demonstrated through a number of examples.
Subject: limit analysis; plasticity; duality; upper bound; discontinuous; finite element
Identifier: uon:1745
Identifier: http://hdl.handle.net/1959.13/27511
Identifier: ISSN:1097-0207
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