### 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 language | English (US) |
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Title of host publication | Springer Proceedings in Mathematics and Statistics |

Publisher | Springer New York LLC |

Pages | 281-300 |

Number of pages | 20 |

Volume | 178 |

DOIs | |

State | Published - Jan 1 2016 |

### Fingerprint

### Keywords

- Elasticity
- Random field
- Spectral expansion

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*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.

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

*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

}

TY - CHAP

T1 - Spectral expansion of three-dimensional elasticity tensor random fields

AU - Malyarenko, Anatoliy

AU - Starzewski, Martin Ostoja

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

KW - Elasticity

KW - Random field

KW - Spectral expansion

UR - http://www.scopus.com/inward/record.url?scp=85015327295&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85015327295&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-42082-0_16

DO - 10.1007/978-3-319-42082-0_16

M3 - Chapter

AN - SCOPUS:85015327295

VL - 178

SP - 281

EP - 300

BT - Springer Proceedings in Mathematics and Statistics

PB - Springer New York LLC

ER -