Barclay, D. W.; Moodie, T. Bryant; Tait, R. J. Padé extensions to ray series methods and analysis of transients in inhomogeneous viscoelastic media of hereditary type. (English) Zbl 0512.73011 Int. J. Eng. Sci. 21, 663-675 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 74E05 Inhomogeneity in solid mechanics 41A21 Padé approximation 74J99 Waves in solid mechanics 74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) 74D05 Linear constitutive equations for materials with memory 74D10 Nonlinear constitutive equations for materials with memory 74Hxx Dynamical problems in solid mechanics Keywords:Pade extensions to Ray series methods; hereditary type; wavefront expansions; transient phenomena; straighforward; very little computing time; non-trivial problem; impact-generated shear transients; inhomogeneous viscoelastic media; stress-strain laws given in integral form; special combination of material parameters; exact solution; results compared with numerical solutions obtained using Bellman’s approximate inversion scheme for Laplace transforms PDFBibTeX XMLCite \textit{D. W. Barclay} et al., Int. J. Eng. Sci. 21, 663--675 (1983; Zbl 0512.73011) Full Text: DOI References: [1] Reiss, E. L., Trans. Soc. Rheol., 11, 287 (1967) [2] Park, I. K.; Reiss, E. L., J. Acoust. Soc. Am., 47, 870 (1970) [3] Sun, C. T., Int. J. Solids Structures, 7, 25 (1971) [4] Sternberg, E.; Chakravorty, J. C., J. Appl. Mech., 26, 528 (1959) [5] Buchen, P. W., Pure and Appl. Geophys., 112, 1011 (1974) [6] Chu, B. T., J. de Mécanique, 1, 439 (1962) [7] Soliman, F., Trans. Soc. Rheol., 10, 133 (1966) [8] Jeffreys, H., Geophys. J. Roy. Astr. Soc., 1, 92 (1958) [9] Lomnitz, C., J. Geol., 64, 473 (1956) [10] Baker, G. A., Essentials of Padé Approximants (1975), Academic Press: Academic Press New York · Zbl 0315.41014 [11] Bellman, R.; Kalaba, R. E.; Lockett, J., Numerical Inversion of the Laplace Transform (1966), Eisevier: Eisevier New York · Zbl 0147.14003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.