On finite amplitude spherical acceleration waves in homogeneously deformed hyperelastic materials (Q1080279)

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scientific article; zbMATH DE number 3965537
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English
On finite amplitude spherical acceleration waves in homogeneously deformed hyperelastic materials
scientific article; zbMATH DE number 3965537

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    On finite amplitude spherical acceleration waves in homogeneously deformed hyperelastic materials (English)
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    1985
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    Jeffrey's equations for the propagation of weak discontinuities are applied to a nonlinear second order equation and the results are shown to be in agreement (after correction of a slight miscalculation) with a previous study of \textit{P. J. Chen} [J. Acoust. Soc. Am. 43, 982-987 (1968)]. It has to be so indeed for we proved together with \textit{T. Ruggeri} that Jeffrey's equations are equivalent to the one-dimensional case of the well-known Bernoulli evolution law.
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    homogeneously deformed hyperelastic materials
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    Jeffrey's equations
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    weak discontinuities
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    nonlinear second order equation
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