Floating Isogeometric Analysis

Hille, Helge C.; Kumar, Siddhant; De Lorenzis, Laura

doi:10.1016/j.cma.2022.114684

Floating Isogeometric Analysis

Title

Floating Isogeometric Analysis

Author

Hille, Helge C. (ETH Zürich)
Kumar, Siddhant (TU Delft Team Sid Kumar)
De Lorenzis, Laura (ETH Zürich)

Date

2022

Abstract

We propose Floating Isogeometric Analysis (FLIGA), which extends IGA to extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions in one direction of the parametric space. With basis functions “floating” deformation-dependently in this direction, mesh distortion is overcome for problems in which extreme deformations occur predominantly along the associated (possibly curved) physical axis. In doing so, we preserve the numerical advantages of splines over many meshless basis functions, while avoiding remeshing. We employ material point integration for numerical quadrature, thus attributing a Lagrangian character to our technique. The paper introduces the method and reviews the fundamental properties of the FLIGA basis functions, including a numerical patch test. The performance of FLIGA is then numerically investigated on the benchmark of Newtonian and viscoelastic Taylor–Couette flow. Finally, we simulate a viscoelastic extrusion-based additive manufacturing process, which served as the original motivation for the new approach.

Subject

Additive manufacturing
Extreme deformations
Extrusion
Isogeometric analysis
Mesh distortion
Meshless methods

To reference this document use:

http://resolver.tudelft.nl/uuid:06ce4d6a-b41d-4f31-98c2-3cd4f7e5a37c

DOI

https://doi.org/10.1016/j.cma.2022.114684

ISSN

0045-7825

Source

Computer Methods in Applied Mechanics and Engineering, 392

Part of collection

Institutional Repository