Authors: | Witt, Carina Kaiser, Tobias Menzel, Andreas |
Title: | On the incorporation of curvature effects into the isogeometric analysis of fibre-reinforced solids |
Language (ISO): | en |
Abstract: | In the context of engineering on the micro- and nanoscale, size-dependency is an important characteristic of material behaviour. In order to avoid complex experiments and predict size effects in simulations instead, classic continuum approaches are extended by the introduction of a length scale, e.g. through the consideration of gradient contributions. For the particular case of fibre-reinforced materials, such a gradient-enhanced approach can be achieved by introducing the fibre curvature as an additional kinematic quantity. This implies that basis functions with a global continuity higher than C0 are required for a finite element-based approach which accounts for these fibre curvature effects. The present contribution shows that the isogeometric finite element method can provide a framework for the simulation of the respective higher-gradient continua. |
Subject Headings (RSWK): | Stoffeigenschaft Faserverbundwerkstoff Finite-Elemente-Methode Simulation Biegung |
URI: | http://hdl.handle.net/2003/40805 http://dx.doi.org/10.17877/DE290R-22662 |
Issue Date: | 2021-12-14 |
Rights link: | https://creativecommons.org/licenses/by-nc/4.0/ |
Appears in Collections: | Institut für Mechanik |
Files in This Item:
File | Description | Size | Format | |
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Proc Appl Math Mech - 2021 - Witt - On the incorporation of curvature effects into the isogeometric analysis of.pdf | DNB | 463.84 kB | Adobe PDF | View/Open |
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