Shape Optimal Design of Elastic Structures,
IOWA UNIV IOWA CITY COLL OF ENGINEERING
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This paper investigates a relatively new class of structural optimization problems that are expected to be important in future applications. Instead of selecting explicit design parameters or functions defining dimensions of a distributed parameter structure over one or two space dimensions, as is normally done in structural optimization, the shape of the elastic solid under consideration plays the role of the design variable. The shape design formulation, for two and three dimensional elastic structures, is essential when load and support conditions lead to fully planar or three dimensional displacement fields that can not adequately be modeled by assumptions arising in beam, plate, or shell theory.