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Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields

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Engineering Mathematics I

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 178))

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.

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References

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Author information

Authors and Affiliations

  1. Division of Applied Mathematics School of Education Culture and Communication, Mälardalen University, 883, 721 23, Västerås, Sweden

    Anatoliy Malyarenko

  2. University of Illinois at Urbana-Champaign, Champaign, USA

    Martin Ostoja-Starzewski

Authors
  1. Anatoliy Malyarenko
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  2. Martin Ostoja-Starzewski
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Corresponding author

Correspondence to Anatoliy Malyarenko .

Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Malyarenko, A., Ostoja-Starzewski, M. (2016). Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields. In: Silvestrov, S., Rančić, M. (eds) Engineering Mathematics I. Springer Proceedings in Mathematics & Statistics, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-319-42082-0_16

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