Topology optimization with implicit functions and regularization

@inproceedings{Belytschko2003TopologyOW,
  title={Topology optimization with implicit functions and regularization},
  author={Ted Belytschko and S. P. Xiao and C. Parimi},
  year={2003}
}
Topology optimization is formulated in terms of the nodal variables that control an implicit function description of the shape. The implicit function is constrained by upper and lower bounds, so that only a band of nodal variables needs to be considered in each step of the optimization. The weak form of the equilibrium equation is expressed as a Heaviside function of the implicit function; the Heaviside function is regularized to permit the evaluation of sensitivities. We show that the method… CONTINUE READING
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