Simulation of phase combinations in shape memory alloys patches by hybrid optimization methods

摘要: In this paper, phase combinations among martensitic variants in shape memory alloys patches and bars are simulated by a hybrid optimization methodology. The mathematical model is based on the Landau theory of transformations. Each stable associated with local minimum free energy function, minimizing bulk energy. At low temperature, function has double potential wells leading to non-convexity problem. methodology proposed present paper an initial estimate global solution genetic algorithm, followed refined quasi-Newton procedure locally refine optimum. By combining search algorithms, successfully simulated. Numerical experiments presented for SMA patch under several typical mechanical loadings.