Multi-Objective Shape Design Optimization Into an Extended Finite Element Method (Xfem) Framework

Abstract eng:
Almost every real world problem involves simultaneous optimization of several incommensurable and often competing objectives which constitutes a multi-objective optimization problem. In multi-objective optimization problems the optimal solution is not unique as in single-objective optimization problems. In this paper, a multi-objective shape design optimization is implemented within the context of Extended Finite Element Method (XFEM). Two objective functions dealing with maximum service life (represented by maximizing the number of fatigue cycles), and minimum weight subjected to specified minimum service life and an upper limit on volume are considered. Structural performance entities are selected as constraints and geometrical data are employed as shape design variables. Nature inspired optimization techniques have been proven to be quantitatively appealing, since they have been proved to be robust and efficient even for the most complex problems examined. These methods, also known as metaheuristics, are used for combinatorial optimization problems. Special techniques with parallel processing for solving nested XFEM propagation problem are considered, in order to reduce the total computational cost.

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