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Padé extensions to ray series methods and analysis of transients in inhomogeneous viscoelastic media of hereditary type. (English) Zbl 0512.73011


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
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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
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