Probabilistic approach to the wave propagation in structured solids

D. R. Axelrad; M. Ostoja-Starzewski

doi:10.1016/0020-7225(84)90113-7

Probabilistic approach to the wave propagation in structured solids

D. R. Axelrad
, M. Ostoja-Starzewski

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with the probabilistic formulation of the wave propagation in a structured solid. The notion of two distinct time scales in the wave propagation process is introduced and the representation is given in terms of semi-group evolution operators. The formulation is carried out for the one-dimensional and three-dimensional models of the solid with a cubic microstructure and random physical properties.

Original language	English (US)
Pages (from-to)	1123-1133
Number of pages	11
Journal	International Journal of Engineering Science
Volume	22
Issue number	8-10
DOIs	https://doi.org/10.1016/0020-7225(84)90113-7
State	Published - 1984
Externally published	Yes

ASJC Scopus subject areas

General Materials Science
General Engineering
Mechanics of Materials
Mechanical Engineering

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10.1016/0020-7225(84)90113-7

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abstract = "This paper is concerned with the probabilistic formulation of the wave propagation in a structured solid. The notion of two distinct time scales in the wave propagation process is introduced and the representation is given in terms of semi-group evolution operators. The formulation is carried out for the one-dimensional and three-dimensional models of the solid with a cubic microstructure and random physical properties.",

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AU - Ostoja-Starzewski, M.

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Y1 - 1984

N2 - This paper is concerned with the probabilistic formulation of the wave propagation in a structured solid. The notion of two distinct time scales in the wave propagation process is introduced and the representation is given in terms of semi-group evolution operators. The formulation is carried out for the one-dimensional and three-dimensional models of the solid with a cubic microstructure and random physical properties.

AB - This paper is concerned with the probabilistic formulation of the wave propagation in a structured solid. The notion of two distinct time scales in the wave propagation process is introduced and the representation is given in terms of semi-group evolution operators. The formulation is carried out for the one-dimensional and three-dimensional models of the solid with a cubic microstructure and random physical properties.

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JF - International Journal of Engineering Science

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Probabilistic approach to the wave propagation in structured solids

Abstract

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