SIMP-ALL: a generalized SIMP method based on the topological derivative concept
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Cita com:
hdl:2117/168040
Tipus de documentArticle
Data publicació2019-10-19
EditorJohn Wiley & sons
Condicions d'accésAccés obert
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Reconeixement 3.0 Espanya
Abstract
Topology optimization has emerged in the last years as a promising research fieldwith a wide range of applications. One of the most successful approaches, theSIMP method, is based on regularizing the problem and proposing a penaliza-tion interpolation function. In this work, we propose an alternative interpolationfunction, the SIMP-ALL method that is based on the topological derivative con-cept. First, we show the strong relation in plane linear elasticity between theHashin-Shtrikman (H-S) bounds and the topological derivative, providing anew interpretation of the last one. Then, we show that the SIMP-ALL interpo-lation remains always in between the H-S bounds regardless the materials tobe interpolated. This result allows us to interpret intermediate values as realmicrostructures. Finally, we verify numerically this result and we show the con-venience of the proposed SIMP-ALL interpolation for obtaining auto-penalizedoptimal design in a wider range of cases. A MATLAB code of the SIMP-ALLinterpolation function is also provided
CitacióFerrer, A. SIMP-ALL: a generalized SIMP method based on the topological derivative concept. "International journal for numerical methods in engineering", 19 Octubre 2019, vol. 120, núm. 3, p. 361-381.
ISSN0029-5981
Versió de l'editorhttps://onlinelibrary.wiley.com/doi/full/10.1002/nme.6140
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