Nonlinear combined axial and torsional shear wave propagation in an incompressible hyperelastic solid

DOI10.1016/0020-7462(87)90022-9zbMath0614.73019OpenAlexW2046084703MaRDI QIDQ1819976

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

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90022-9

zbMATH Keywords

strain energy functionnonlinearcoupled equationsincompressible isotropic hyperelastic solidaxialFinite amplitudehyperbolic system of first order partial differential equationsmodification of the MacCormack finite difference schemetorsional shear wavetwo second order partial differential equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Wave equation (35L05)

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 ⋮ Finite amplitude elastic shear wave propagation ⋮ Thermal stresses problem in non-homogeneous transversely isotropic infinite circular cylinder.

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