TY - JOUR
T1 - Scale-Dependent Homogenization of Random Hyperbolic Thermoelastic Solids
AU - Ostoja-Starzewski, Martin
AU - Costa, Luis
AU - Ranganathan, Shivakumar I.
N1 - Funding Information:
Comments of two anonymous reviewers helped improve this note. The work was supported by the RDECOM-AMSAA: Army Materiel Systems Analysis Activity (William Davis) under the auspices of the US Army Research Office Scientific Services Program administered by Battelle (W911NF-11-D-0001 DO# 0169; TCN 12-078).
Publisher Copyright:
© 2014, Springer Science+Business Media Dordrecht.
PY - 2014/2
Y1 - 2014/2
N2 - The scale-dependent homogenization is applied to a hyperbolic thermoelastic material with two relaxation times, where conductivity and stiffness are wide-sense stationary ergodic random fields. The previously established scaling functions for the Fourier-type conductivity and linear elastic responses are used to describe the trends to scale from the mesoscale statistical volume element level (SVE) to the (representative volume element) RVE level of a deterministic homogeneous continuum. In the case of white-noise type random fields, this finite-size scaling can be quantified via universally appearing stretched exponentials for conductivity and elasticity problems.
AB - The scale-dependent homogenization is applied to a hyperbolic thermoelastic material with two relaxation times, where conductivity and stiffness are wide-sense stationary ergodic random fields. The previously established scaling functions for the Fourier-type conductivity and linear elastic responses are used to describe the trends to scale from the mesoscale statistical volume element level (SVE) to the (representative volume element) RVE level of a deterministic homogeneous continuum. In the case of white-noise type random fields, this finite-size scaling can be quantified via universally appearing stretched exponentials for conductivity and elasticity problems.
KW - Finite-size scaling
KW - Homogenization
KW - Hyperbolic thermoelasticity
KW - Random fields
KW - Relaxation times
KW - Representative volume element
KW - Statistical volume element
KW - Stretched exponentials
UR - http://www.scopus.com/inward/record.url?scp=84921700355&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84921700355&partnerID=8YFLogxK
U2 - 10.1007/s10659-014-9483-4
DO - 10.1007/s10659-014-9483-4
M3 - Article
AN - SCOPUS:84921700355
SN - 0374-3535
VL - 118
SP - 243
EP - 250
JO - Journal of Elasticity
JF - Journal of Elasticity
IS - 2
ER -