Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
`` 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
On the Convergence of Pattern Search Algorithms
SIAM Journal on Optimization
Basis Reduction for the Shakedown Problem for Bounded Kinematic Hardening Material
Journal of Global Optimization
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
FEM-Based Structural Optimization with Respect to Shakedown Constraints
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
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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 new approach is compared to so-called derivative-free direct search methods. The computational effort of the proposed method is much lower compared to this methods.