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A random field formulation of Hooke’s law in all elasticity classes
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-0139-0747
University of Illinois at Urbana-Champaign, USA.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

For each of the 8 isotropy classes of elastic materials, we consider a homogeneous random field taking values in the fixed point set V of the corresponding class, that is isotropic with respect to the natural orthogonal representation of a group lying between the isotropy group of the class and its normaliser. We find the general form of the correlation tensors of orders 1 and 2 of such a field, and the field's spectral expansion.

Keyword [en]
Elasticity class Random field Spectral expansion
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-31221OAI: oai:DiVA.org:mdh-31221DiVA: diva2:908512
Available from: 2016-03-02 Created: 2016-03-02 Last updated: 2017-02-22Bibliographically approved

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Other links

http://arxiv.org/abs/1602.09066

Authority records BETA

Malyarenko, Anatoliy

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
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