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Isogeometric analysis as a tool for large deformation shape optimization

Kurki, Max LU (2021) In TFHF-5000 FHLM01 20211
Department of Construction Sciences
Solid Mechanics
Abstract
The framework for isogeometric analysis (IGA) is presented, especially the construction
and use of non-uniform rational B-splines (NURBS) to represent geometry, and a
method utilizing IGA for structural optimization both for linear elastic and non-linear
elastic deformations is implemented. Topology optimization of a linear elastic cantilever
is performed, showing that IGA is inecient for topology optimization. Shape
optimization of the same cantilever, as well as two non-linear hyperelastic brackets,
is performed producing promising results. IGA is found to be ecient in representing
geometries using fewer parameters than classic nite elements, allowing for shape
optimization with considerably fewer design variables. A... (More)
The framework for isogeometric analysis (IGA) is presented, especially the construction
and use of non-uniform rational B-splines (NURBS) to represent geometry, and a
method utilizing IGA for structural optimization both for linear elastic and non-linear
elastic deformations is implemented. Topology optimization of a linear elastic cantilever
is performed, showing that IGA is inecient for topology optimization. Shape
optimization of the same cantilever, as well as two non-linear hyperelastic brackets,
is performed producing promising results. IGA is found to be ecient in representing
geometries using fewer parameters than classic nite elements, allowing for shape
optimization with considerably fewer design variables. A pseudo-contact formulation
is implemented, and one of the brackets is optimized using this formulation, the results
of which indicate that IGA shows promise for use with contact problems as well.
Some downsides to IGA are also found, resulting from the more complex geometry
representation that NURBS entail. (Less)
Please use this url to cite or link to this publication:
author
Kurki, Max LU
supervisor
organization
course
FHLM01 20211
year
type
H3 - Professional qualifications (4 Years - )
subject
keywords
IGA, NURBS, Shape optimization, Large deformations, Topology optimization
publication/series
TFHF-5000
report number
TFHF-5243
language
English
id
9055401
date added to LUP
2021-06-17 15:58:15
date last changed
2021-06-17 15:58:15
@misc{9055401,
  abstract     = {{The framework for isogeometric analysis (IGA) is presented, especially the construction
and use of non-uniform rational B-splines (NURBS) to represent geometry, and a
method utilizing IGA for structural optimization both for linear elastic and non-linear
elastic deformations is implemented. Topology optimization of a linear elastic cantilever
is performed, showing that IGA is inecient for topology optimization. Shape
optimization of the same cantilever, as well as two non-linear hyperelastic brackets,
is performed producing promising results. IGA is found to be ecient in representing
geometries using fewer parameters than classic nite elements, allowing for shape
optimization with considerably fewer design variables. A pseudo-contact formulation
is implemented, and one of the brackets is optimized using this formulation, the results
of which indicate that IGA shows promise for use with contact problems as well.
Some downsides to IGA are also found, resulting from the more complex geometry
representation that NURBS entail.}},
  author       = {{Kurki, Max}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{TFHF-5000}},
  title        = {{Isogeometric analysis as a tool for large deformation shape optimization}},
  year         = {{2021}},
}