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Erschienen in: Structural and Multidisciplinary Optimization 2/2017

21.03.2017 | RESEARCH PAPER

Topology optimization of structures with gradient elastic material

verfasst von: Lei Li, Guodong Zhang, Kapil Khandelwal

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2017

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Abstract

Topology optimization of structures and mechanisms with microstructural length-scale effect is investigated based on gradient elasticity theory. To meet the higher-order continuity requirement in gradient elasticity theory, Hermite finite elements are used in the finite element implementation. As an alternative to the gradient elasticity, the staggered gradient elasticity that requires C 0-continuity, is also presented. The solid isotropic material with penalization (SIMP) like material interpolation schemes are adopted to connect the element density with the constitutive parameters of the gradient elastic solid. The effectiveness of the proposed formulations is demonstrated via numerical examples, where remarkable length-scale effects can be found in the optimized topologies of gradient elastic solids as compared with linear elastic solids.

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Metadaten
Titel
Topology optimization of structures with gradient elastic material
verfasst von
Lei Li
Guodong Zhang
Kapil Khandelwal
Publikationsdatum
21.03.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 2/2017
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-017-1670-z

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