Gang-Won Jang
The Journal of Mechanical Science and Technology, vol. 23, no. 2, pp.442-451, 2009

Abstract : This investigation is concerned with the topology optimization using displacement-based nonconforming finite elements for problems involving incompressible materials. Although the topology optimization with mixed displacementpressure elements was performed, a displacement-based approach can be an efficient alternative because it interpolates displacement only. After demonstrating the Poisson locking-free characteristics of the employed nonconforming finite elements by a simple patch test, the developed method is applied to solve the design problems of mounts involving incompressible solid or fluid. The numerical performance of the nonconforming elements in topology optimization was examined also with existing incompressible problems.

Keyword : Topology optimization; Nonconforming finite element; Incompressible material; Locking