Upper bound limit analysis of plates using a rotation-free isogeometric approach

Hung Nguyen-Xuan, Chien Hoang Thai, Jeremy Bleyer, Vinh Phu Nguyen

Research output: Contribution to journalArticleResearchpeer-review


This paper presents a simple and effective formulation based on a rotation-free isogeometric approach for the assessment of collapse limit loads of plastic thin plates in bending.

The formulation relies on the kinematic (or upper bound) theorem and namely B-splines or non-uniform rational B-splines (NURBS), resulting in both exactly geometric representation and high-order approximations. Only one deflection variable (without rotational degrees of freedom) is used for each control point. This allows us to design the resulting optimization problem with a minimum size that is very useful to solve large-scale plate problems. The optimization formulation of limit analysis is transformed into the form of a second-order cone programming problem so that it can be solved using highly efficient interior-point solvers.

Results and conclusions
Several numerical examples are given to demonstrate reliability and effectiveness of the present method in comparison with other published methods.
Original languageEnglish
Article number12
Number of pages29
JournalAsia Pacific Journal on Computational Engineering
Publication statusPublished - 27 Aug 2014
Externally publishedYes

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