Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method. Trần, T. N. & Staat, M. In Proceedings ECCM 2010, IV European Conference on Computational Mechanics, Paris, France, May 16-21, 2010, 2010. European Conference on Computational Mechanics. ZSCC: NoCitationData[s0]
Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method [pdf]Paper  abstract   bibtex   
.An edge-based smoothed finite element method (ES-FEM) is extended for limit and shakedown analysis of structures. A primal-dual algorithm which is based upon the von Mises yield criterion and a nonlinear optimization procedure is used to calculate both the upper and lower bounds of the plastic collapse limit and the shakedown limit. Using a constant smoothing function which leads to local constant smoothing domains constructed on edges of elements, only one Gaussian point is required for each domain ensuring that the total number of variables in the resulting optimization problem is kept to a minimum compared with standard finite element formulation. Numerical examples are presented to show that stable and accurate solutions are obtained by the present method.

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