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  4. Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
 
research article

Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes

Carraturo, Massimo
•
Giannelli, Carlotta
•
Reali, Alessandro
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May 1, 2019
Computer Methods In Applied Mechanics And Engineering

In the present work we introduce a complete set of algorithms to efficiently perform adaptive refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines) defined on suitably graded isogeometric meshes, that are called admissible mesh configurations. We apply the proposed algorithms to two-dimensional linear heat transfer problems with localized moving heat source, as simplified models for additive manufacturing applications. We first verify the accuracy of the admissible adaptive scheme with respect to an overkilled solution, for then comparing our results with similar schemes which consider different refinement and coarsening algorithms, with or without taking into account grading parameters. This study shows that the THB-spline admissible solution delivers an effective discretization for what concerns not only the accuracy of the approximation, but also the (reduced) number of degrees of freedom per time step. In the last example we investigate the capability of the algorithms to approximate the thermal history of the problem for a more complicated source path. The comparison with uniform and non-admissible hierarchical meshes demonstrates that also in this case our adaptive scheme returns the desired accuracy while strongly improving the computational efficiency. (C) 2019 Elsevier B.V. All rights reserved.

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Type
research article
DOI
10.1016/j.cma.2019.01.044
Web of Science ID

WOS:000462472400025

Author(s)
Carraturo, Massimo
Giannelli, Carlotta
Reali, Alessandro
Vazquez, Rafael  
Date Issued

2019-05-01

Publisher

ELSEVIER SCIENCE SA

Published in
Computer Methods In Applied Mechanics And Engineering
Volume

348

Start page

660

End page

679

Subjects

Engineering, Multidisciplinary

•

Mathematics, Interdisciplinary Applications

•

Mechanics

•

Engineering

•

Mathematics

•

Mechanics

•

isogeometric analysis

•

adaptivity

•

hierarchical splines

•

thb-splines

•

heat transfer analysis

•

additive manufacturing

•

hierarchical splines

•

local refinement

•

finite-element

•

design

•

nurbs

•

implementation

•

model

•

cad

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
MNS  
Available on Infoscience
June 18, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/157913
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