Design of Functionally Graded Structures Using Topology Optimization
The concept of functionally graded materials (FGMs) is closely related to the concept of topology optimization, which consists in a design method that seeks a continuum optimum material distribution in a design domain. Thus, in this work, topology optimization is applied to design FGM structures considering a minimum compliance criterion. The present approach applies the so-called “continuous topology optimization” formulation where a continuous change of material properties is considered inside the design domain by using the graded finite element concept. A new design is obtained where distribution of the graded material itself is considered in the design domain, and the material properties change in a certain direction according to a specified variation, leading to a structure with asymmetric stiffness properties.
Omer Van der Biest, Michael Gasik, Jozef Vleugels
G. H. Paulino and E. C. N. Silva, "Design of Functionally Graded Structures Using Topology Optimization", Materials Science Forum, Vols. 492-493, pp. 435-440, 2005