Generalized functionally invariant solutions to the equation of elasticity theory (Q2714020)

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scientific article; zbMATH DE number 1603284
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Generalized functionally invariant solutions to the equation of elasticity theory
scientific article; zbMATH DE number 1603284

    Statements

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    10 June 2001
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    longitudinal vibrations
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    spherical waves
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    necessary and sufficient conditions for existence of generalized functionally invariant solutions
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    elasticity
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    transverse vibrations
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    plane waves
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    Generalized functionally invariant solutions to the equation of elasticity theory (English)
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    The author establishes necessary and sufficient conditions for existence of generalized functionally invariant solutions to the equations of elasticity theory. The conditions obtained are analyzed in detail, and explicit solution representations are constructed in terms of plane and spherical waves for longitudinal and transverse vibrations.
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