An r-h adaptive kinematic approach for 3D limit analysis

Title: An r-h adaptive kinematic approach for 3D limit analysis
Creator: Shi, Zhenhao; Hambleton, James P.
Relation: ARC.DE160100328 http://purl.org/au-research/grants/arc/DE160100328
Relation: Computers and Geotechnics Vol. 124, Issue August 2020, no. 103531
Publisher Link: http://dx.doi.org/10.1016/j.compgeo.2020.103531
Publisher: Elsevier
Resource Type: journal article
Date: 2020
Description: This paper explores a pathway for increasing efficiency in numerical 3D limit analysis through r-h adaptivity, wherein nodal positions (r) and element lengths (h) are successively refined. The approach uses an iterative, nested optimization procedure involving three components: (1) determination of velocities for a fixed mesh of rigid, translational elements (blocks) using second-order cone programming; (2) adaptation of nodal positions using non-linear optimization (r adaptivity); and (3) subdivision of elements based on the magnitude of the velocity jumps (h adaptivity). Examples show that the method can compute reasonably accurate limit loads at relatively low computational cost.
Subject: limit analysis; 3D; kinematic method; upper bound; adaptivity
Identifier: http://hdl.handle.net/1959.13/1426940
Identifier: uon:38493
Identifier: ISSN:0266-352X
Language: eng
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