Interior value extrapolation: a new method for stress evaluation during topology optimization

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Topology optimization of continuum structures with stress constraints and uncertainties in loading (2018, methodology): “As presented in Sigmund,(52) instead of directly using the pseudo-densities ρ in the topology optimization, one can modify the physical space of design variables by applying a Heaviside projection function on the pseudodensity of each element e, as ?̄?e = 1 − e−δ?̃?e + ?̃?ee, (34) where the paramete”
Topology optimization for minimum weight with compliance and simplified nominal stress constraints for fatigue resistance (2017, methodology): “As extensively pointed out in Svärd (2015), numerical inaccuracy in the evaluation of the stress field is also due to the jagged nature of the optimal structure arising in the fixed finite element mesh used to handle the design domain.”