Reflection and refraction of elastic waves for stratified materials (Q1114481)

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scientific article; zbMATH DE number 4083104
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Reflection and refraction of elastic waves for stratified materials
scientific article; zbMATH DE number 4083104

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    Reflection and refraction of elastic waves for stratified materials (English)
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    1988
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    Formulas are derived for the reflection and transmission tensors associated with a plane elastic wave impinging obliquely upon a stratified slab interposed between two homogeneous half-spaces. These tensors transform the components of the incident displacement field into the components of reflected and transmitted displacement fields. Both solid-solid and solid-liquid interfaces are considered.
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    isotropic, linearly elastic material
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    Lamé moduli and density vary in only one direction
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    general stratifications
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    optimal design of coatings
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    conjugate pairs of waves
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    local and global impedance
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    invariant embedding
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    first order initial value problem
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    first order Riccati equation
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    P waves
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    SV waves
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    SH waves
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    reflection and transmission tensors
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    plane elastic wave
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    stratified slab
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    two homogeneous half-spaces
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    solid-solid and solid-liquid interfaces
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