Adaptive extended isogeometric upper-bound limit analysis of cracked structures

Published on Aug 1, 2020in Engineering Fracture Mechanics3.426
· DOI :10.1016/J.ENGFRACMECH.2020.107131
Keke Li1
Estimated H-index: 1
(Hohai University),
Tiantang Yu32
Estimated H-index: 32
(Hohai University),
Tinh Quoc Bui54
Estimated H-index: 54
(TITech: Tokyo Institute of Technology)
Sources
Abstract
Abstract Limit analysis, without the complicated elasto-plastic computation, is an efficient method for estimating safety load of engineering structures. This paper develops a novel computational approach by integrating second-order cone programming (SOCP) into adaptive extended isogemetric elements (XIGA) for upper-bound limit analysis of cracked structures. The advantage of XIGA is to model cracks without considering the location of crack faces by introducing enrichment functions. The local refined (LR) B-splines, which have versatile and flexible local refinement ability, are adopted as basis functions in the XIGA. We use structured mesh refinement strategy to implement local refinement based on the indicator of L 2 -norm of plastic strain rates. Cracked structures are assumed under plane stress condition, and the von Mises yield criterion is used. Kinematic formulation of the limit analysis is translated into the form of SOCP, then is solved by the Mosek tool. The developed model is implemented and its accuracy and effectiveness are illustrated through several numerical examples. In addition, numerical results illustrate that the convergence rate of adaptive XIGA is faster than that of traditional XIGA.
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