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A Random Field Formulation of Hooke’s Law in All Elasticity Classes
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, US.ORCID iD: 0000-0002-3493-363X
2017 (English)In: Journal of elasticity, ISSN 0374-3535, E-ISSN 1573-2681, Vol. 127, no 2, p. 269-302Article in journal (Refereed) Published
Abstract [en]

For each of the 8 symmetry classes of elastic materials, we consider a homogeneousrandom 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.

Place, publisher, year, edition, pages
2017. Vol. 127, no 2, p. 269-302
Keywords [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-35062DOI: 10.1007/s10659-016-9613-2ISI: 000396525700006Scopus ID: 2-s2.0-85001735603OAI: oai:DiVA.org:mdh-35062DiVA, id: diva2:1084252
Available from: 2017-03-24 Created: 2017-03-24 Last updated: 2017-09-28Bibliographically approved

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Malyarenko, Anatoliy

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