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H. Nguyen-Xuan, Loc V. Tran, Chien H. Thai, Canh V. Le; Plastic collapse analysis of cracked structures using extended isogeometric elements and second-order cone programming; Theoretical and Applied Fracture Mechanics, Vol. 72 (2014), pp. 13 – 27 (SCIE).

Abstract

We investigate a numerical procedure based on extended isogeometric elements in combination with second-order cone programming (SOCP) for assessing collapse limit loads of cracked structures. We exploit alternative basis functions, namely B-splines or non-uniform rational B-splines (NURBS) in the context of limit analysis. The optimization formulation of limit analysis is rewritten in the form of second-order cone programming (SOCP) such that interior-point solvers can be exploited efficiently. Numerical examples are given to demonstrate reliability and effectiveness of the present method.

Keywords
  • Rigid-perfect plasticity;
  • Cracked structure;
  • Limit analysis;
  • Isogeometric analysis;
  • Second-order cone programming