Topology optimization using Bernstein basis polynomials

Abstract eng:
A new method for density-based topology optimization is presented in which the density field is parametrized using Bernstein polynomial basis functions on a finite-element mesh. This parametrization permits a continuous variation of the density between mesh elements to suppress checkerboards without a filter. In addition, rather than refining the design variable mesh, the material boundary is more accurately captured by elevating the order of the basis functions. Standard meshing techniques may be used to define the design variable mesh, even with complex domain shapes, and different meshes may be used to define the design variables and the finite element analysis. Results are presented for two structural topology design problems.

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