Acknowledgement
Supported by : National Science Foundation
References
- Abramowitz, M. and Stegun, I.A. (1964), Handbook of Mathematical Functions with Formulars, Graphs and Mathematical Tables, 5th Edn, Dover, New York.
- Arfken, G. (1970), Mathematical Methods for Physicists, 2nd Edn, Academic Press, New York.
- Bahar, L.Y. (1972), "Transfer matrix approach to layered systems", J. Eng. Mech. Div., ASCE, 98, 1159-1172.
- Burminster, D.M. (1945), "The general theory of stresses and displacements in layered systems", J. Appl. Phys., 16, 89-94, 126-127, 296-302. https://doi.org/10.1063/1.1707558
- Chen, W.T. (1971), "Computation of stresses and displacements in a layered elastic medium," Int. J. Eng. Sci., 9, 775-800. https://doi.org/10.1016/0020-7225(71)90072-3
- Choi, H.J. and Thangjitham, S. (1991), "Stress analysis of multilayered anisotropic elastic media," J. Appl. Mech., 58, 382-387. https://doi.org/10.1115/1.2897197
- Fares, N. and Li, V.C. (1988), "General image method in a plane layered elastostatic medium," J. Appl. Mech., 55, 781-785. https://doi.org/10.1115/1.3173722
- Gerrard, C. (1976), "Stresses and displacements in layered, cross-anisotropic elastic systems," Proc. Fifth Australia-New Zealand Conf. on Soil Mechanics and Foundation Engineering, 187-197.
- Jiang, L. and Wang, Y. (1990), "On the convergence of the fundamental solution functions for the foundation plate on an elastic half space," Chinese J. Num. Math. Appl., 12, 67-74.
- Kausel, E. and Roesset, J.M. (1981), "Stiffness matrices for layered soils," Bull. Seism. Soc. Am., 71, 1743-1761.
- Lee, J.S. and Zhang, X. (1992), "A boundary element formulation for a layered elastic half-space," Comp. Struct., 44, 375-379. https://doi.org/10.1016/0045-7949(92)90257-Z
- Seale, S.H. and Kausel, E. (1989), "Point loads in cross-anisotropic, layered half space," J. Eng. Mech., ASCE, 115, 509-524. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:3(509)
- Timoshenko, S.P. and Goodier, J.N. (1970), Theory of Elasticity, McGraw-Hill, New York.
- Vlasov, V.Z. and Leontev, N.N. (1966), Beams, Plates and Shells on Elastic Foundations, NASA TTF-357, TT65-50135.
Cited by
- Exact electroelastic analysis of piezoelectric laminae via state space approach vol.33, pp.7, 1996, https://doi.org/10.1016/0020-7683(95)00083-6
- Influence of interface conditions on the response of transversely isotropic multi-layered medium by impact load vol.77, 2018, https://doi.org/10.1016/j.jmbbm.2017.09.034
- Analysis of indentation cracking in piezoceramics vol.38, pp.10-13, 2001, https://doi.org/10.1016/S0020-7683(00)00142-6
- Spectral element solution for transversely isotropic elastic multi-layered structures subjected to axisymmetric loading vol.72, 2016, https://doi.org/10.1016/j.compgeo.2015.11.004
- Plane Orthotropic Layer by Transfer Matrix‐Spline Boundary Element vol.120, pp.5, 1994, https://doi.org/10.1061/(ASCE)0733-9399(1994)120:5(1026)
- Complex Variable Solution for Stress and Displacement of Layered Soil with Finite Thickness vol.12, pp.2, 1994, https://doi.org/10.3390/app12020766