Nonlinear axial shear wave propagation in a hyperelastic incompressible solid

DOI10.1007/BF01184294zbMath0606.73023OpenAlexW2004982810MaRDI QIDQ1084909

S. A. Lorimer, J. B. Haddow, Robert Tait

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01184294

zbMATH Keywords

strain energy functionpower seriesunbounded mediumNumerical solutionsincompressible isotropic hyperelastic solidsurface of a cylindrical cavityaxial shear stressaxial shear wavesestimate of the breaking timefinite duration pulsemodification of MacCormack's finite difference schemeposition of the shock frontstep function application

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Impact in solid mechanics (74M20) Numerical and other methods in solid mechanics (74S99)

Related Items (5)

Oscillatory behaviour of compressible hyperelastic shells subjected to dynamic inflation: a numerical study ⋮ The propagation and reflection of finite amplitude cylindrically symmetric shear waves in a hyperelastic incompressible solid ⋮ Finite amplitude spherically symmetric wave propagation in a compressible hyperelastic solid ⋮ Shock front analysis for axial shear wave propagation in a hyperelastic incompressible solid ⋮ Thermal stresses problem in non-homogeneous transversely isotropic infinite circular cylinder.

Cites Work

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• A numerical scheme for the study of Poynting effect in wave propagation problems with finite boundaries
• Boundary conditions for multistep finite-difference methods for time- dependent equations
• The flow pattern of a supersonic projectile

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