Analytical relationships for imposing minimum length scale in the robust Topology Optimization formulation

no code implementations • 21 Jan 2021 • Denis Trillet, Pierre Duysinx, Eduardo Fernández

As a side finding, this paper shows that to obtain simultaneous control over the minimum size of the solid and void phases, it is necessary to involve the 3 fields (eroded, intermediate and dilated) in the topology optimization problem.

Optimization and Control Numerical Analysis Numerical Analysis

A numerical scheme for filter boundary conditions in topology optimization on regular and irregular meshes

no code implementations • 4 Jan 2021 • Prabhat Kumar, Eduardo Fernández

In density-based topology optimization, design variables associated to the boundaries of the design domain require unique treatment to negate boundary effects arising from the filtering technique.

Numerical Analysis Numerical Analysis Optimization and Control