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Tensor-Valued Random Fields in Continuum Physics
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-0139-0747
University of Illinois at Urbana-Champaign, USA.
2016 (English)In: Materials with internal structure: Multiscale and Multifield Modeling and Simulation / [ed] P. Trovalusci, Berlin/Heidelberg: Springer Science+Business Media B.V., 2016, 75-88 p.Chapter in book (Refereed)
Abstract [en]

This article reports progress on homogeneous isotropic tensor random fields (TRFs) for continuum mechanics. The basic thrust is on determinin most general representations of the correlation functions as well as their spectral expansions. Once this is accomplished, the second step is finding the restrictionsdictated by a particular physical application. Thus, in the case of fields of material properties (like conductivity and stiffness), the restriction resides in the positive-definiteness, whereby a connection to experiments and/or computational micromechanics can be established. On the other hand, in the case of fields of dependent properties (e.g., stress, strain and displacement), restrictions are due to the respective field equations.

Place, publisher, year, edition, pages
Berlin/Heidelberg: Springer Science+Business Media B.V., 2016. 75-88 p.
Series
Springer Tracts in Mechanical Engineering, ISSN 2195-9862
Keyword [en]
Tensor, random field, elasticity
National Category
Probability Theory and Statistics Other Physics Topics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-31222DOI: 10.1007/978-3-319-21494-8_6Scopus ID: 2-s2.0-85027273036ISBN: 978-3-319-21493-1 (print)OAI: oai:DiVA.org:mdh-31222DiVA: diva2:908525
Available from: 2016-03-02 Created: 2016-03-02 Last updated: 2017-08-24Bibliographically approved

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CiteExportLink to record
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Citation style
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  • de-DE
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