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

Abstract : 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. Several numerical examples are given to demonstrate reliability and effectiveness of the present method in comparison with other published methods.
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https://hal-enpc.archives-ouvertes.fr/hal-01073384
Contributeur : Jérémy Bleyer <>
Soumis le : samedi 8 novembre 2014 - 15:08:21
Dernière modification le : vendredi 17 juillet 2020 - 17:08:36
Archivage à long terme le : : lundi 9 février 2015 - 10:05:19

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Hung Nguyen-Xuan, Hoang Chien, Jérémy Bleyer, Phu Nguyen. Upper bound limit analysis of plates using a rotation-free isogeometric approach. Asia Pacific Journal on Computational Engineering, 2014, 1 (1), pp.12. ⟨10.1186/s40540-014-0012-5⟩. ⟨hal-01073384⟩

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