  The paper presents a novel, parameter free, density evaluation method for
topology optimization based on normalized product of a scalar field. The
approach imposes length scale on solid phase implicitly and allows for pure 0-1
singularity free solutions to exist within the design space. The density
formulation proposed herein is independent of user specified parameters, other
then the length scale. Sensitivity analysis for the formulation obtained by
combining the proposed density evaluation with the SIMP material model reveal
that for compliance minimization and small deformation compliant mechanism
problems, objective gradients vanish at pure 0-1 topologies. The methodology is
implemented to solve well known examples in literature for different mesh
refinements presenting mesh independent and close to binary solutions without
the use of heuristics or continuation methods.
