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Tensor random fields in conductivity and classical or microcontinuum theories
University of Illinois at Urbana-Champaign, USA.
Capital Normal University, Beijing, China.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-0139-0747
2015 (English)In: Mathematics and mechanics of solids, ISSN 1081-2865, E-ISSN 1741-3028, Vol. 20, no 4, 418-432 p.Article in journal (Refereed) Published
Abstract [en]

We study the basic properties of tensor random fields (TRFs) of the wide-sense homogeneous and isotropic kind with generally anisotropic realizations. Working within the constraints of small strains, attention is given to antiplane elasticity, thermal conductivity, classical elasticity and micropolar elasticity, all in quasi-static settings albeit without making any specific statements about the Fourier and Hooke laws. The field equations (such as linear and angular momentum balances and strain–displacement relations) lead to consequences for the respective dependent fields involved. In effect, these consequences are restrictions on the admissible forms of the correlation functions describing the TRFs.

Place, publisher, year, edition, pages
2015. Vol. 20, no 4, 418-432 p.
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-23036DOI: 10.1177/1081286513498524ISI: 000352536700002Scopus ID: 2-s2.0-84926433334OAI: oai:DiVA.org:mdh-23036DiVA: diva2:668110
Available from: 2013-11-28 Created: 2013-11-28 Last updated: 2015-12-23

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