Abstract

Inlaid structures consisting of different materials have excellent designability and mechanical properties, while not obtained from the structure consisting of a material. This paper describes an optimization method for designing the interface shape of inlaid structures. The interface boundary is assumed to be movable in the tangential directions to the plate surface. As an application of this solution, the compliance minimization problem subject to area or perimeter constraint is formulated as a distributed-parameter shape optimization problem, and the shape gradient function is derived using the material derivative method. The optimal shape and position is determined by the H^1 gradient method for shell. Design example shows that the effectiveness of this approach for designing the interface shape of inlaid structures.

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