Interaction of rocking vibration of a buried rigid circular disc and a two-layer transversely isotropic half-space

Scientia Iranica - Tập 20 - Trang 1-14 - 2012
M. Eskandari-Ghadi1, A. Mirzapour2, A. Ardeshir-Behrestaghi3
1School of Civil Engineering, College of Engineering, University of Tehran, P.O.Box 11165-4563, Tehran, Iran
2Department of Civil Engineering, Mazandaran University of Science and Technology, Babol, Iran
3Faculty of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran

Tài liệu tham khảo

Harding, 1945, The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch, Proceedings of the Cambridge Philosophical Society, 41, 16, 10.1017/S0305004100022325 Chow, 1987, Vertical deformation of rigid foundations of arbitrary shape on layered soil media, International Journal for Numerical and Analytical Methods in Geomechanics, 11, 1, 10.1002/nag.1610110102 Pak, 1991, Forced vertical vibration of rigid discs with an arbitrary embedment, Journal of Engineering Mechanics, 117, 2527, 10.1061/(ASCE)0733-9399(1991)117:11(2527) Pak, 1991, Rocking rotation of a rigid disc in a half-space, International Journal of Solids and Structures, 28, 389, 10.1016/0020-7683(91)90201-P Rajapakse, 1991, Response of circular footings and anchor plates in non-homogeneous elastic soils, International Journal for Numerical and Analytical Methods in Geomechanics, 15, 457, 10.1002/nag.1610150702 Selvadurai, 1980, The eccentric loading of a rigid circular foundation embedded in an isotropic elastic medium, International Journal for Numerical and Analytical Methods in Geomechanics, 4, 121, 10.1002/nag.1610040203 Selvadurai, 1983, Fundamental results concerning the settlement of a rigid foundation on an elastic medium due to an adjacent surface load, International Journal for Numerical and Analytical Methods in Geomechanics, 7, 209, 10.1002/nag.1610070206 Selvadurai, 1993, The axial loading of a rigid circular anchor plate embedded in an elastic half-space, International Journal for Numerical and Analytical Methods in Geomechanics, 17, 343, 10.1002/nag.1610170505 Selvadurai, 1996, The settlement of a rigid circular foundation resting on a halfspace exhibiting a near surface elastic non-homogeneity, International Journal for Numerical and Analytical Methods in Geomechanics, 20, 351, 10.1002/(SICI)1096-9853(199605)20:5<351::AID-NAG830>3.0.CO;2-L Luco, 1987, Response of a circular foundation on a uniform half-space to elastic waves, Earthquake Engineering and Structural Dynamics, 15, 105, 10.1002/eqe.4290150108 Luco, 1971, Dynamic response of circular footing, Proceeding of ASCE Journal of Engineering Mechanics Division, 97, 1381, 10.1061/JMCEA3.0001467 Robertson, 1966, Forced vertical vibration of a rigid circular disc on a semi-infinite elastic solid, Mathematical Proceedings of the Cambridge Philosophical Society, 62, 547, 10.1017/S0305004100040184 Cai, 2010, Vertical vibrations of a rigid foundation embedded in a poroelastic half-space, Journal of Engineering Mechanics, 136, 390, 10.1061/(ASCE)0733-9399(2010)136:3(390) Cai, 2010, Torsional response of a rigid circular foundation on a saturated half-space to SH waves, Soil Dynamics and Earthquake Engineering, 30, 1082, 10.1016/j.soildyn.2010.04.019 Wang, 2011, Rocking vibrations of a rigid circular foundation on poroelastic half-space to elastic waves, Soil Dynamics and Earthquake Engineering, 31, 708, 10.1016/j.soildyn.2010.12.012 Chow, 1986, Simplified analysis of dynamic response of rigid foundations with arbitrary geometries, Earthquake Engineering & Structural Dynamics, 14, 643, 10.1002/eqe.4290140411 Chow, 1987, Vertical vibration of three-dimensional rigid foundations on layered media, Earthquake Engineering & Structural Dynamics, 15, 585, 10.1002/eqe.4290150505 Wang, 1995, Completeness and nonuniqueness of general solutions of transversely isotropic elasticity, International Journal of Solids and Structures, 32, 501, 10.1016/0020-7683(94)00114-C Lekhnitskii, 1981 Elliott, 1948, Three dimensional stress distribution in hexagonal aeolotropic crystals, Mathematical Proceedings of the Cambridge Philosophical Society, 44, 522, 10.1017/S0305004100024531 Lodge, 1955, The transformation to isotropic form of the equilibrium equations for a class of anisotropic elastic solids, Quarterly Journal of Mechanics and Applied Mathematics, 8, 211, 10.1093/qjmam/8.2.211 Eskandari-Ghadi, 2005, A complete solutions of the wave equations for transversely isotropic media, Journal of Elasticity, 81, 1, 10.1007/s10659-005-9000-x Sneddon, 1951 Gurtin, 1972, The linear theory of elasticity, 1 Eskandari-Ghadi, 2008, Transversely isotropic elastodynamic solution of a finite layer on an infinite subgrade under surface loads, Soil Dynamics and Earthquake Engineering, 28, 986, 10.1016/j.soildyn.2007.10.019 Eskandari-Ghadi, 2009, A tri-material elastodynamic solution for a transversely isotropic full-space, International Journal of Solids and Structures, 46, 1121, 10.1016/j.ijsolstr.2008.10.026 Pak, 1987, Asymmetric wave propagation in an elastic half-space by a method of potentials, Journal of Applied Mechanics, 54, 121, 10.1115/1.3172945 Eskandari-Ghadi, 2010, Forced vertical vibration of rigid circular disc on a transversely isotropic half-space, Journal of Engineering Mechanics, 136, 913, 10.1061/(ASCE)EM.1943-7889.0000114 Sneddon, 1966 Busbridge, 1938, Dual integral equations, Proceedings of the London Mathematical Society, 44, 115, 10.1112/plms/s2-44.2.115 Erdelyi, 1962, Fractional integral equation and dual integral equations, Canadian Journal of Mathematics, 14, 685, 10.4153/CJM-1962-058-6 Noble, 1963, The solution of Bessel function dual integral equations by a multiplying-factor method, Proceedings of the Cambridge Philosophical Society, 59, 351, 10.1017/S0305004100036987 Sneddon, 1966, The Reissner–Sagoci problem, Proceedings of the Glasgow Mathematical Association, 7, 136, 10.1017/S2040618500035322 Mandal, 1999 Churchill, R.V. “Complex variables and applications”, 5th ed., McGraw-Hill, New York, NY (1990).