TY - JOUR
T1 - A Random Field Formulation of Hooke’s Law in All Elasticity Classes
AU - Malyarenko, Anatoliy
AU - Ostoja-Starzewski, Martin
N1 - Funding Information:
This material is based upon the research partially supported by the NSF under grants CMMI-1462749 and IP-1362146 (I/UCRC on Novel High Voltage/Temperature Materials and Structures).
Publisher Copyright:
© 2016, The Author(s).
PY - 2017/4/1
Y1 - 2017/4/1
N2 - For each of the 8 symmetry classes of elastic materials, we consider a homogeneous random 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.
AB - For each of the 8 symmetry classes of elastic materials, we consider a homogeneous random 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.
KW - Elasticity class
KW - Random field
KW - Spectral expansion
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U2 - 10.1007/s10659-016-9613-2
DO - 10.1007/s10659-016-9613-2
M3 - Article
AN - SCOPUS:85001735603
SN - 0374-3535
VL - 127
SP - 269
EP - 302
JO - Journal of Elasticity
JF - Journal of Elasticity
IS - 2
ER -