Print Email Facebook Twitter On tailoring fracture resistance of brittle structures Title On tailoring fracture resistance of brittle structures: A level set interface-enriched topology optimization approach Author Zhang, J. (TU Delft Computational Design and Mechanics) van Keulen, A. (TU Delft Computational Design and Mechanics) Aragon, A.M. (TU Delft Computational Design and Mechanics) Date 2022 Abstract We propose a fully immersed topology optimization procedure to design structures with tailored fracture resistance under linear elastic fracture mechanics assumptions for brittle materials. We use a level set function discretized by radial basis functions to represent the topology and the Interface-enriched Generalized Finite Element Method (IGFEM) to obtain an accurate structural response. The technique assumes that cracks can nucleate at right angles from the boundary, at the location of enriched nodes that are added to enhance the finite element approximation. Instead of performing multiple finite element analyses to evaluate the energy release rates (ERRs) of all potential cracks—a procedure that would be computationally intractable—we approximate them by means of topological derivatives after a single enriched finite element analysis of the uncracked domain. ERRs are then aggregated to construct the objective function, and the corresponding sensitivity formulation is derived analytically by means of an adjoint formulation. Several numerical examples demonstrate the technique's ability to tailor fracture resistance, including the well-known benchmark L-shaped bracket and a multiple-loading optimization problem for obtaining a structure with fracture resistance anisotropy. Subject Enriched finite element analysisInterface-enriched generalized finite element method (IGFEM)Level setLinear elastic fracture mechanicsStress recovery techniqueTopological derivatives To reference this document use: http://resolver.tudelft.nl/uuid:eb65ef6d-b2da-4aa7-b52d-0cad956218d6 DOI https://doi.org/10.1016/j.cma.2021.114189 ISSN 0045-7825 Source Computer Methods in Applied Mechanics and Engineering, 388 Part of collection Institutional Repository Document type journal article Rights © 2022 J. Zhang, A. van Keulen, A.M. Aragon Files PDF 1_s2.0_S004578252100520X_main.pdf 3.88 MB Close viewer /islandora/object/uuid:eb65ef6d-b2da-4aa7-b52d-0cad956218d6/datastream/OBJ/view