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Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters

Weeger, Oliver ; Yeung, Sai-Kit ; Dunn, Martin L. (2022):
Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters. (Postprint)
In: Computer Methods in Applied Mechanics and Engineering, 342, Elsevier, ISSN 0045-7825,
DOI: 10.26083/tuprints-00019863,
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Item Type: Article
Origin: Secondary publication service
Status: Postprint
Title: Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters
Language: English
Abstract:

We present a fully isogeometric modeling and simulation method for geometrically exact, nonlinear 3D beams with spatially varying geometric and material distributions, both along the beam axis and through its cross-section. The approach is based on the modeling of 3D beams using the Cosserat rod theory and the numerical discretization using B-Spline and NURBS parameterizations in an isogeometric collocation method. Transversally varying material constitutions are represented using non-homogeneous, functionally graded beam cross-section definitions such as laminates and continuously graded cross-sections. Furthermore, to model the axial variation of material and geometry, we introduce the parameterization of cross-section properties as spline curves along the beam centerlines. This fully isogeometric modeling and analysis concept, which is based on spline parameterizations of initial beam centerline curves, kinematic unknowns and axially varying material and geometric parameters, has various practical applications enabled by advances in manufacturing technology, including multi-material 3D printing and advanced manufacturing of composites with automated fiber placement. We verify and demonstrate the modeling and simulation approach using several numerical studies and highlight its practical applicability.

Journal or Publication Title: Computer Methods in Applied Mechanics and Engineering
Volume of the journal: 342
Publisher: Elsevier
Collation: 23 Seiten
Classification DDC: 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 05 Jan 2022 14:02
Last Modified: 05 Jan 2022 14:02
DOI: 10.26083/tuprints-00019863
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-198631
Additional Information:

Keywords: Isogeometric analysis, 3D beams, Spatially varying materials, Functionally graded beams, Collocation method

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19863
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