Approximations for the low frequency response of a rigid plate embedded in an infinite space

Selvadurai, 1981, Engineering approximations for the dynamic behaviour of deeply embedded foundations, 361 Luco, 1975, A note on the dynamic response of rigid embedded foundations, Earthq. Engng. Struct. Dynam., 4, 119, 10.1002/eqe.4290040203 Luco, 1976, Torsional response of structures for SH waves: the case of hemispherical foundations, Bull. Seis. Soc. Amer., 66, 109, 10.1785/BSSA0660010109 Bielak, 1975, Dynamic behaviour of structures with embedded foundations, Earthq. Engng. Struct. Dynam., 3, 259, 10.1002/eqe.4290030305 Selvadurai, 1980, The dynamic response of a rigid circular foundation embedded in an isotropic medium of infinite extent, Vol. 2, 597 Selvadurai, 1981, Rotary oscillations of a rigid disc inclusion embedded in an isotropic elastic infinite space, Int. J. Solids Struct., 17, 493, 10.1016/0020-7683(81)90056-1 Chadwick, 1965, Oscillations of a rigid sphere embedded in an infinite elastic solid. II — Rectilinear oscillations, 63, 1207 Williams, 1966, A note on the slow vibrations in an elastic medium, Quart. J. Mech. Appl. Math., 19, 413, 10.1093/qjmam/19.4.413 Datta, 1979, Rectilinear oscillations of a rigid spheroid in an elastic medium, Quart. Appl. Math., 37, 86, 10.1090/qam/530672 Mal, 1968, Diffraction of elastic waves by a rigid circular disc, 64, 237 Datta, 1970, The diffraction of a plane compressional wave by a rigid circular disc, Quart. Appl. Math., 28, 1, 10.1090/qam/99806 Mal, 1971, Motion of a rigid disc in an elastic solid, Bull. Seis. Soc. Amer., 61, 1717, 10.1785/BSSA0610061717 Kanwal, 1965, Dynamical displacements of an infinite elastic space and matched asymptotic expansions, J. Math. Phys., 44, 275, 10.1002/sapm1965441275 Van Dyke, 1965 Kanwal, 1976, Singularity methods for elasto-statistics, J. Elasticity, 6, 405, 10.1007/BF00040900 Selvadurai, 1976, The load deflexion characteristics of a deep rigid anchor in an elastic medium, Geotechnique, 26, 603, 10.1680/geot.1976.26.4.603 Selvadurai, 1978, The response of a deep rigid anchor due to undrained elastic deformations of the surrounding soil medium, Int. J. Numer. Anal. Methods Geomech., 2, 189, 10.1002/nag.1610020207 Collins, 1962, Some axially symmetric stress distributions in elastic solids containing penny shaped cracks, I. Cracks in an infinite solid and a thick plate, 203, 359 Keer, 1965, A note on the solution of two asymmetric boundary value problems, Int. J. Solids Struct., 1, 257, 10.1016/0020-7683(65)90032-6 Kassir, 1968, Some three-dimensional inclusion problems in elasticity, Int. J. Solids Struct., 4, 225, 10.1016/0020-7683(68)90012-7 Selvadurai, 1979, On the displacement of a penny-shaped rigid inclusion embedded in a transversely isotropic elastic medium, Solid Mech. Arch., 4, 163 Selvadurai, 1979, The displacements of a rigid disc inclusion embedded in an isotropic elastic medium due to the action of an external force, Mech. Res. Comm., 6, 379, 10.1016/0093-6413(79)90010-7 Selvadurai, 1980, Asymmetric displacements of a rigid disc inclusion embedded in a transversely isotropic elastic medium of infinite extent, Int. J. Engng. Sci., 18, 979, 10.1016/0020-7225(80)90070-1 Gladwell, 1983 Rowe, 1979, A method of analysis of horizontally embedded anchors in an elastic soil, Int. J. Numer. Anal. Methods Geomech., 3, 187, 10.1002/nag.1610030207 Galin, 1961 Polya, 1945, Inequalities for the capacity of a condenser, Amer. J. Math., 67, 1, 10.2307/2371912 Szego, 1951 Selvadurai, 1983 Eason, 1956, The generation of waves in an infinite elastic solid by variable body forces, Phil. Trans. Roy. Soc. Ser. A, 248, 575, 10.1098/rsta.1956.0010