Isogeometric analysis as a tool for large deformation shape optimization
(2021) In TFHF-5000 FHLM01 20211Department 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:
http://lup.lub.lu.se/student-papers/record/9055401
- author
- Kurki, Max LU
- supervisor
- organization
- course
- FHLM01 20211
- year
- 2021
- 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}}, }