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Article Dans Une Revue Asia Pacific Journal on Computational Engineering Année : 2014

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

Hung Nguyen-Xuan
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Hoang Thai Chien
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Jérémy Bleyer

Résumé

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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Dates et versions

hal-01073384 , version 1 (08-11-2014)

Identifiants

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