The objective of this research is to optimally design both the topology and material distribution of functionally gradient material objects while considering more than one objective. Many techniques exist for both topology optimization and optimal placement of functionally gradient material within a single object, but combining the two is challenging. In addition, gradient materials allow customization of individual regions of a single part in order to achieve conflicting objectives or constraints. This paper shows a technique for concurrent topology and material gradient optimization within a single part while considering two conflicting objectives. The algorithm is applied to a standard topology optimization problem. The resulting gradient material designs have regions with distinct functionality and the material in these regions is chosen based on the regions function. In addition, a comparison of the gradient material design and a corresponding homogenous material design shows a significant improvement in the objective value for the gradient material design.

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