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Topology Optimization Applied to Crack Patterns in Drying Porous Material
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
2008 (English)Manuscript (preprint) (Other academic)
Abstract [en]

Based on topology optimization techniques, a model for crack formation indrying porous materials is developed. The state problem derived representsthe mulitphysic flow of a mixture of fluid (air) and moister. A topologyoptimization problem is defined, where the layout (topology) of cracks andporous material, as well as the length scale of the crack pattern are used asoptimization variables. The problem is solved using a two–stage continuationmethod, labelled phase I and phase II. In phase I, a relaxed version of theproblem is solved to generate“clever”initial guesses for phase II. In the secondphase, the full problem is solved using a ten–step procedure. Two examplesare provided showing the dependence on different problem parameters, and,given the limitations in the model, the results show nature–like trends.

Place, publisher, year, edition, pages
2008.
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:liu:diva-14855OAI: oai:DiVA.org:liu-14855DiVA: diva2:25359
Available from: 2008-09-26 Created: 2008-09-26 Last updated: 2017-05-15
In thesis
1. Optimization in Continuum Flow Problems
Open this publication in new window or tab >>Optimization in Continuum Flow Problems
2008 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The work presented in this dissertation was carried out at the Division ofMechanics, Department of Management and Engineering at Link¨oping University,between 2003 and 2008. It was supervised by Prof. Anders Klarbring,head of the division, and financially supported by the National GraduateSchool of Scientific Computing (NGSSC) and the Swedish Research Council(VR).

There are many people to whom I would like to express my gratitude: firstand foremost I would like to thank my supervisor Prof. Anders Klarbring forhis help, support and endless patience during our discussions, and for alwayshaving time to read and comment on the numerous drafts that eventually ledto the research manuscripts presented in this thesis. I would also like to thankmy co–supervisor Dr. Thomas Borrvall for all his help regarding numericalissues, especially with the implementation of the models. Moreover, I wouldlike to thank present and former colleagues for their inspiration and assistanceduring my time as a graduate student at the division.

Last but not least, I am very grateful for having a family that has alwaysbeen there to support me, and for all my friends who enrich my life outsidethe office walls in more ways then I can say.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2008. 37 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1196
Keyword
Fluid mechanics, Continuum flow problem
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:liu:diva-14857 (URN)978–91–7393–851–8 (ISBN)
Public defence
2008-09-19, C3, C-huset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Opponent
Supervisors
Available from: 2008-09-26 Created: 2008-09-26 Last updated: 2017-05-15Bibliographically approved

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Wiker, NiclasKlarbring, AndersBorrvall, Thomas

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