Limit and shakedown isogeometric analysis of structures based on Bezier extraction

作者：Do Hien V; Nguyen Xuan H

来源：European Journal of Mechanics - A: Solids , 2017, 63: 149-164.

DOI：10.1016/j.euromechsol.2017.01.004

• Limit and shakedown analysis
• Primal-dual algorithm
• Isogeometric analysis
• Maier extraction

An effective numerical approach is proposed for calculating limit and shakedown load multipliers of structures. The key idea is to integrate isogeometric analysis (IGA) based on Bezier extraction into an associated primal-dual algorithm. Such an associated primal-dual algorithm based upon the vonMises yield criterion and a Newton-like iteration is used to compute simultaneously both quasi-lower and upper bounds of the collapse multiplier. The method requires a low number of degrees of freedom for the desired accuracy of solutions. Numerical results of this method demonstrate the efficiency, and show the better accuracy and convergence than several finite element solutions.

• 出版日期2017-6