Probabilistic approach to the wave propagation in structured solids (Q759500)

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scientific article; zbMATH DE number 3881934
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Probabilistic approach to the wave propagation in structured solids
scientific article; zbMATH DE number 3881934

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    Probabilistic approach to the wave propagation in structured solids (English)
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    1984
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    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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    Chapman-Kolmogorov equation
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    probabilistic formulation of the wave propagation
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    two distinct time scales
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    semi-group evolution operators
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    one-dimensional and three-dimensional models
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    cubic microstructure
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    random physical properties
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