@inproceedings{ce635401561d47958a7d929f500c60fe,

title = "The spectral expansion of the elasticity random field",

abstract = " We consider a deformable body that occupies a region D in the plane. In our model, the body's elasticity tensor H(x) is the restriction to D of a second-order mean-square continuous random field. Under translation, the expected value and the correlation tensor of the field H(x) do not change. Under action of an arbitrary element k of the orthogonal group O(2), they transform according to the reducible orthogonal representation k → S 2 (S 2 (k)) of the above group. We find the spectral expansion of the correlation tensor R(x) of the elasticity field as well as the expansion of the field itself in terms of stochastic integrals with respect to a family of orthogonal scattered random measures. ",

keywords = "elasticity, random field, spectral expansion",

author = "Anatoliy Malyarenko and Starzewski, {Martin Ostoja}",

year = "2014",

month = dec,

day = "10",

doi = "10.1063/1.4904635",

language = "English (US)",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "647--655",

editor = "Seenith Sivasundaram",

booktitle = "10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014",

note = "10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 ; Conference date: 15-07-2014 Through 18-07-2014",

}