A Random Field Formulation of Hooke’s Law in All Elasticity Classes
2017 (English)In: Journal of elasticity, ISSN 0374-3535, E-ISSN 1573-2681, Vol. 127, no 2, 269-302 p.Article in journal (Refereed) Published
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, 269-302 p.
Elasticity class Random field Spectral expansion
Probability Theory and Statistics
Research subject Mathematics/Applied Mathematics
IdentifiersURN: urn:nbn:se:mdh:diva-35062DOI: 10.1007/s10659-016-9613-2ScopusID: 2-s2.0-85001735603OAI: oai:DiVA.org:mdh-35062DiVA: diva2:1084252