Padé extensions to ray series methods and analysis of transients in inhomogeneous viscoelastic media of hereditary type

DOI10.1016/0020-7225(83)90111-8zbMath0512.73011OpenAlexW1980905205MaRDI QIDQ1050131

T. Bryant Moodie, D. W. Barclay, Robert Tait

Publication date: 1983

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(83)90111-8

zbMATH Keywords

exact solutiontransient phenomenahereditary typeimpact-generated shear transientsinhomogeneous viscoelastic medianon-trivial problemPade extensions to Ray series methodsresults compared with numerical solutions obtained using Bellman's approximate inversion scheme for Laplace transformsspecial combination of material parametersstraighforwardstress-strain laws given in integral formvery little computing timewavefront expansions

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Padé approximation (41A21) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Waves in solid mechanics (74J99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Dynamical problems in solid mechanics (74Hxx)

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Wavefront expansions and nonlinear hyperbolic waves, Heat waves, Finite speed thermal transients generated by nonuniform sources applied to circular boundaries in inhomogeneous conductors, Shock front analysis for axial shear wave propagation in a hyperelastic incompressible solid, On thermoelastic transients in a general theory of heat conduction with finite wave speeds, Pressure and flow pulses in viscoelastic arterial models with reflection sites, Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction

Cites Work

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• Propagation of One-Dimensional Stress Discontinuities in Homogeneous and Inhomogeneous Viscoelastic Media