Limit analysis for plane stress problem by using nurbs based on bézier extraction in combination with second order cone program
Corressponding author's email:
hiendv@hcmute.edu.vnKeywords:
NURBS, IGA, Limit analysis, Bézier extraction, SOCP, Upper boundAbstract
This paper presents a new approach to estimate limit load factor by using Non-Uniform Rational Basis Spline (NURBS) based on Bézier extraction in combination with Second-order Cone Programming (SOCP) for plane stress problem. This approach based on an upper bound method with rigid-perfectly plastic material model. A NURBS basis functions are used for both geometry and field approximation. Limit analysis problem is transformed into the form of a SOCP problem which can be solved by efficient primal-dual interior point algorithm. The numerical results show that the effectiveness and accuracy of the present approach by comparing its performance with other methods reported in the available literature. Based on the results, the present an approach is a promising tool for computing of structure limit analysis.
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