On the speed of propagation of waves in a deformed compressible elastic material

DOI10.1007/BF01601519zbMath0399.73035OpenAlexW3184201526MaRDI QIDQ1254876

Ronald S. Rivlin, Kenneth N. Sawyers

Publication date: 1978

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01601519

zbMATH Keywords

Deformed Compressible Elastic MaterialHomogeneous DeformationPlane Sinusoidal WavesPropagation of Waves

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Elastic materials (74B99)

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Phonon, Cauchy-Born and homogenized stability criteria for a free-standing monolayer graphene at the continuum level ⋮ On copositive matrices and strong ellipticity for isotropic elastic materials ⋮ A note on incremental equations for a new class of constitutive relations for elastic bodies ⋮ The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity ⋮ Propagation of a plane wave to a materially uniform but inhomogeneous body ⋮ Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition ⋮ Some stability conditions for a compressible elastic material ⋮ The incremental shear modulus in a compressible isotropic elastic material

Cites Work

• On the failure of ellipticity of the equations for finite elastostatic plane strain
• On the speed of propagation of waves in a deformed elastic material
• Instability of an elastic material
• Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation
• Flow of a viscoelastic fluid between eccentric cylinders

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