Dual topological derivatives plus interface-enriched FEM let 3-D level-set topology optimization minimize aggregated boundary energy release rates from a single uncracked analysis while nucleating holes.
An interface-enriched generalized FEM for problems with discontinuous gradient fields , url =
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$\partial^2 ( \mathrm{TO} ) $: A Dual Topological Derivative-Based Enriched Topology Optimization for Fracture Mitigation in 3-D Brittle Solids
Dual topological derivatives plus interface-enriched FEM let 3-D level-set topology optimization minimize aggregated boundary energy release rates from a single uncracked analysis while nucleating holes.