ACM Transactions on Mathematical Software (TOMS)
`` Direct Search'' Solution of Numerical and Statistical Problems
Journal of the ACM (JACM)
Direct search methods: then and now
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Structural Optimization with FEM-based Shakedown Analyses
Journal of Global Optimization
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In this paper, a mathematical programming formulation is presented for the structural optimization with respect to the shakedown analysis of 3-D perfectly plastic structures on basis of a finite element discretization. A new direct algorithm using plastic sensitivities is employed in solving this optimization formulation. The numerical procedure has been applied to carry out the shakedown analysis of pipe junctions under multi-loading systems. The computational effort of the new approach is much lower compared to so called derivative-free search methods.