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The spectral expansion of the elasticity random field
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-0139-0747
University of Illinois in Urbana-Champaign, USA.
2014 (English)In: AIP Conference Proceedings 1637 / [ed] S. Sivasundaram, 2014, 647-655 p.Conference paper, Published paper (Refereed)
Abstract [en]

We consider a deformable body that occupies a region D in the plane. In our model, the body's elasticity tensor H (x) is the restriction to D of a second-order mean-square continuous random field. Under translation, the expected value and the correlation tensor of the field H (x) do not change. Under action of an arbitrary element k of the orthogonal group O (2), they transform according to the reducible orthogonal representation k bar right arrow S-2 (S-2 (k)) of the above group. We find the spectral expansion of the correlation tensor R (x) of the elasticity field as well as the expansion of the field itself in terms of stochastic integrals with respect to a family of orthogonal scattered random measures.

Place, publisher, year, edition, pages
2014. 647-655 p.
Series
AIP Conference Proceedings, ISSN 0094-243X ; 1637
Keyword [en]
elasticity, random field, spectral expansion
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-27326DOI: 10.1063/1.4904635ISI: 000347812200078ISBN: 978-0-7354-1276-7 (print)OAI: oai:DiVA.org:mdh-27326DiVA: diva2:781985
Conference
10th International Conference on Mathematical problems in Engineering, Aerospace,and Sciences ICNPAA 2014
Available from: 2015-01-19 Created: 2015-01-19 Last updated: 2015-02-20Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf