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Determining the elastic constants of paper with optimization methods
Hunan Normal Univ, Dept Math, Changsha 410081, Hunan Peoples R China.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
SCA.
2002 (English)In: Inverse Problems in Engineering, ISSN 1068-2767, E-ISSN 1029-0281, Vol. 10, no 5, 393-411 p.Article in journal (Refereed) Published
Abstract [en]

In this article we describe a method for determining the elastic constants for paper from a measured displacement field. Our model is based on the finite element method using quadrilateral elements. A method for finding the first and second order derivatives with respect to the unknown parameters plays a crucial role in the optimization process used to solve the inverse problems in this article. To reduce the influence of the noise of the input data, an efficient continuation method is used for the regularization term in the cost function. Some numerical results for synthetic data and measurement will verify the efficiency of our approach.

Place, publisher, year, edition, pages
2002. Vol. 10, no 5, 393-411 p.
Keyword [en]
Gauss-Newton; Newton; continuation method; elastic constants; orthotropic; isotropic
Identifiers
URN: urn:nbn:se:miun:diva-13609DOI: 10.1080/1068276021000003374ISI: 000178510900001OAI: oai:DiVA.org:miun-13609DiVA: diva2:411650
Available from: 2011-04-19 Created: 2011-04-19Bibliographically approved

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Gullikson, Mårten
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CiteExportLink to record
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