Spectral expansion of three-dimensional elasticity tensor random fields

Anatoliy Malyarenko, Martin Ostoja Starzewski

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We consider a random field model of the 21-dimensional elasticity tensor. Representation theory is used to obtain the spectral expansion of the model in terms of stochastic integrals with respect to random measures.

Original languageEnglish (US)
Title of host publicationSpringer Proceedings in Mathematics and Statistics
PublisherSpringer New York LLC
Pages281-300
Number of pages20
Volume178
DOIs
StatePublished - Jan 1 2016

Fingerprint

Spectral Expansion
Random Field
Elasticity
Tensor
Three-dimensional
Random Measure
Stochastic Integral
Representation Theory
Model

Keywords

  • Elasticity
  • Random field
  • Spectral expansion

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Malyarenko, A., & Starzewski, M. O. (2016). Spectral expansion of three-dimensional elasticity tensor random fields. In Springer Proceedings in Mathematics and Statistics (Vol. 178, pp. 281-300). Springer New York LLC. https://doi.org/10.1007/978-3-319-42082-0_16

Spectral expansion of three-dimensional elasticity tensor random fields. / Malyarenko, Anatoliy; Starzewski, Martin Ostoja.

Springer Proceedings in Mathematics and Statistics. Vol. 178 Springer New York LLC, 2016. p. 281-300.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Malyarenko, A & Starzewski, MO 2016, Spectral expansion of three-dimensional elasticity tensor random fields. in Springer Proceedings in Mathematics and Statistics. vol. 178, Springer New York LLC, pp. 281-300. https://doi.org/10.1007/978-3-319-42082-0_16
Malyarenko A, Starzewski MO. Spectral expansion of three-dimensional elasticity tensor random fields. In Springer Proceedings in Mathematics and Statistics. Vol. 178. Springer New York LLC. 2016. p. 281-300 https://doi.org/10.1007/978-3-319-42082-0_16
Malyarenko, Anatoliy ; Starzewski, Martin Ostoja. / Spectral expansion of three-dimensional elasticity tensor random fields. Springer Proceedings in Mathematics and Statistics. Vol. 178 Springer New York LLC, 2016. pp. 281-300
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