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Tensor-Valued Random Fields in Continuum Physics
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. (MAM)ORCID-id: 0000-0002-0139-0747
University of Illinois at Urbana-Champaign, USA.ORCID-id: 0000-0002-3493-363X
2016 (engelsk)Inngår i: Materials with internal structure: Multiscale and Multifield Modeling and Simulation / [ed] P. Trovalusci, Berlin/Heidelberg: Springer Science+Business Media B.V., 2016, s. 75-88Kapittel i bok, del av antologi (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
Berlin/Heidelberg: Springer Science+Business Media B.V., 2016. s. 75-88
Serie
Springer Tracts in Mechanical Engineering, ISSN 2195-9862
Emneord [en]
Tensor, random field, elasticity
HSV kategori
Forskningsprogram
matematik/tillämpad matematik
Identifikatorer
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 (tryckt)OAI: oai:DiVA.org:mdh-31222DiVA, id: diva2:908525
Tilgjengelig fra: 2016-03-02 Laget: 2016-03-02 Sist oppdatert: 2018-11-05bibliografisk kontrollert

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