[1] A.C. 336 (1993). "Suggested Analysis and Design Procedures for Combined Footings and Mats."
[2] Indian Standard Code of Practice for Design and Construction of Raft Foundations (1981).
[3] Winkler E (1867). Die Lehre von der Elasticitaet und Festigkeit: Dominicus,.
[4] Liou, G.S., Lai, S.C. (1996). “Structural analysis model for mat foundations.” Journal of Structural Engineering, Vol. 122, No. 9, pp. 1114–1117, DOI:10.1061/(asce)0733-9445(1996)122:9(1114).
[5] Wyman, M. (1950). “Deflections of an Infinite Plate.” Canadian Journal of Research, Vol. 28, No. A, pp. 292–295.
[6] Selvadurai, A.P.S. (1979). “Elastic Analysis of Soil-Foundation Interaction.” Elsevier Scientific Publishing Company.
[7] Dutta, S.C., Roy, R. (2002). “A critical review on idealization and modeling for interaction among soil – foundation – structure system.” Computer and Structures, Vol. 80, pp. 1579–1594.
[8] Lee, J., Jeong, S. (2016). “Experimental Study of Estimating the Subgrade Reaction Modulus on Jointed Rock Foundations” Rock Mechanics and Rock Engineering, Vol. 49, No. 6, pp. 2055–2064, DOI: 10.1007/s00603-015-0905-9.
[9] Biot, M.A. (1937). “Bending of an Infinite Beam on Elastic Foundation” Journal of Applied Mechanics, Vol. 59, pp. A1–A7.
[10] Terzaghi, K. (1955). “Evaluation of Coefficients of Subgrade Reaction” pp. 297–325.
[11] AB. Vesic ( 1961). “Bending of Beams Resting on Isotropic Solid.” J. Eng. Mech. Div. ASCE, Vol. 87, pp. 35-54.
[12] AASHTO (2004). “AASHTO Guide for Design of Pavement Structures.”
[13] Sall, O.A., Fall, M., Berthaud, Y., Ba, M. (2013). “Influence of the Elastic Modulus of the Soil and Concrete Foundation on the Displacements of a Mat Foundation.” Open Journal of Civil Engineering, Vol. 3, pp. 228–233.
[14] Horvath, J.S. (1983). “New Subgrade Model Applied to Mat Foundations.” Journal of Geotechnical Engineering, Vol. 109, No. 12, pp. 1567–1587, DOI: doi.org/10.1061/(ASCE)0733-9410(1983)109:12(1567).
[15] Kirsch, A. (2011). “Analytical and numerical investigation of the subgrade modulus for raft and pile-raft-foundations.” Calculation Methods in Geotechnics- Failure Mechanisms and Determination of Parameters,.
[16] Chandra S, Madhav M.R., Iyengar N.G.R. (1987). “A new model for nonlinear subgrades.” Math. Model, Vol. 8, pp. 513–518.
[17] J. E. Bowles (1997). “Foundation Analysis and Design.”
[18] Daloglu, A.T., Vallabhan, C.V.G. (2000). “Values of k for Slab on Winkler Foundation” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 126, No. 5, pp. 463–471.
[19] Filonenko-Borodich MM. (1940). “Some approximate theories of elastic foundation.” Uchenyie Zapiski Moskovskogo Gosudarstvennogo Universiteta [in Russian], Mekhanica, Vol. 46, pp. 3–18.
[20] Celep Z. (1989). “Rectangular Plates Resting on Tensionless Elastic Foundation.” Journal of Engineering Mechanics, Vol. 114, No. 12, pp. 2083–2092.
[21] Hetenyi M., (1946). “Beams on elastic foundations, University of Michigan Press.”
[22] Pasternak PL. (1954). “On a new method of analysis of an elastic foundation by means of two foundation constants.” [in Russian]-Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu I Arkhitekture, Moscow, USSR.
[23] Dumir, P.C. (1987). “Circular plates on Pasternak elastic foundations.” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 11, No. 1, pp. 51–60, DOI: 10.1002/nag.1610110105.
[24] Sokolov SN. (1952). “Circular plate on a generalized foundation.”, [Russian]-Inzhinierny Sbornik, Academy of Sciences, USSR.
[25] Kerr, A.D. (1965). “A study of a new foundation model.” Acta Mechanica, Vol. 1, No. 2, pp. 135–147, DOI: 10.1007/BF01174308.
[26] Horvath, J.S. (1993). “Beam-Column-Analogy Model for Soil-Structure Interaction Analysis.” Journal of Geotechnical Engineering, Vol. 119, No. 2, pp. 358–364.
[27] Ti, K.S., Huat, B.B.K., Noorzaei, J., Jaafar, M.S., Sew, G.S. (2009). “A Review of Basic Soil Constitutive Models for Geotechnical Application.” Electronic Journal of Geotechnical Engineering, Vol. 14, pp. 18.
[28] Kurian NP., Manojkumar NG.(2001). “A new continuous model for soil-structure interaction.” J. Struc. Eng., Vol. 27, 269-276.
[29] Boussinesq M. J. (1885). “Application des potentiels a l'etude de l'equilibre et du mouvement des solides elastiques, principalement au calcul des deformations et des pressions que produisent, dans ces solides, des efforts quelconques exerces sur une petite partie de leur surface ou de leur interieur.” Memoire suivi de notes etendues sur divers points de physique mathematique et d'analyse, GauthierVillars, Paris, 722.
[30] Reissner, E. (1947). “On Bending of Elastic Plates.” Quart Appl Math, Vol. 5, pp. 55–68.
[31] Vlasov, V. Z., Leontiev, U. N. (1966). “Beams, plates and shells on elastic foundations.” Israel Program for Sientific Translations, Jerusalem.
[32] Jones, R., Xenophontos, J. (1977). “The Vlasov Foundation Model.” International Journal of Mechanical Sciences, Vol. 19, pp. 317–323.
[33] Vallabhan, C.V.G., Das, Y.C. (1989). “Parametric Study of Beams on Elastic Foundations.” Journal of Engineering Mathematics, Vol. 114, No. 22996, pp. 2072–2082.
[34] Vallabhan, C.V.G., Das, Y.C. (1991). “Modified Vlasov Model for Beams on Elastic Foundations.” Journal of Geotechnical Engineering, Vol. 117, No. 6, pp. 956–966.
[35] Vallabhan, C.V.G., Daloglu, A.T. (1999). “Consistent FEM-Vlasov Model for Plates on Layered Soil.” Journal of Structural Engineering, Vol. 125, No. January, pp. 108–113.
[36] Teodoru, I., Musat, V. (2010). “The Modified Vlasov Foundation Model : An Attractive Approach for Beams Resting on Elastic Supports.” Electronic Journal of Geotechnical Engineering, No. January, pp. 1–13.
[37] Worku, A. (2010). “Part I: A Generalized Formulation of Continuum Models for Elastic Foundations.” GeoFlorida 2010: Advanced in Analysis, Modeling & Design, No. Gsp 199, pp. 2012–2021.
[38] Worku, A., Yimer, D. (2010). “Part II: Application of Newly Derived and Calibrated Continuum Subgrade Models in the Analysis of Beams on Elastic Foundations.” GeoFlorida 2010: Advanced in Analysis, Modeling & Design, No. Gsp 199, pp. 1885–1894.
[39] Worku, A. (2013). “Calibrated analytical formulas for foundation model parameters.” International Journal of Geomechanics, Vol. 13, No. 4, pp. 340–347, DOI: 10.1061/(ASCE)GM.1943-5622.0000214.
[40] Worku, A. (2014). “Development of a calibrated Pasternak foundation model for practical use.” International Journal of Geotechnical Engineering, Vol. 8, No. 1, pp. 26–33, DOI: 10.1179/1938636213Z.00000000055.
[41] Smolira M. (1975). “Analysis of tall buildings by the force displacement method.” UK: McGraw-Hill Book Company Limited.
[42] Selvadurai, A.P.S. (1976). “The response of a rigid circular plate resting on ana idealized elastic-plastic foundation.” International Journal of Mechanical Sciences, Vol. 18, pp. 463–468.
[43] Papadopouios, P., Taylor, R.L. (1990). “Elasto-plastic analysis of Reissner-Mindlin plates.” Applied Mechanics Reviews, ASME, Vol. 43, No. 5(2), pp. S40-50.
[44] Noorzaei, J., Viladkar, M.N., Godbole, P.N. (1995). “Elasto-plastic analysis for soil-structure interaction in framed structures.” Computers and Structures, Vol. 55, No. 5, pp. 797–807, DOI: 10.1016/0045-7949(94)00432-3.
[45] Liang, J., Lu, D., Zhou, X., Du, X., Wu, W. (2019). “Non-orthogonal elastoplastic constitutive model with the critical state for clay.” Computers and Geotechnics, Vol. 116, No. July, p. 103200, DOI: 10.1016/j.compgeo.2019.103200.
[46] Liang, J., Lu, D., Du, X., Wu, W., Ma, C. (2020). “Non-orthogonal elastoplastic constitutive model for sand with dilatancy.” Computers and Geotechnics, Vol. 118, No. October 2019, p. 103329, DOI: 10.1016/j.compgeo.2019.103329.
[47] Younesian, D., Hosseinkhani, A., Askari, H., Esmailzadeh, E. (2019). “Elastic and viscoelastic foundations : a review on linear and nonlinear vibration modeling and applications.” Nonlinear Dynamics, Vol. 97, No. 1, pp. 853–895, DOI: 10.1007/s11071-019-04977-9.
[48] Arani, A.G., Jalaei, M.H. (2016). “Nonlocal dynamic response of embedded single-layered graphene sheet via analytical approach.” Journal of Engineering Mathematics, Vol. 98, No. 1, pp. 129–144, DOI: 10.1007/s10665-015-9814-x.
[49] Veletsos, A.S., Meek, J.W. (1974). “Dynamic behaviour of building‐foundation systems.” Earthquake Engineering & Structural Dynamics, Vol. 3, No. 2, pp. 121–138, DOI: 10.1002/eqe.4290030203.
[50] Meek, J.W., Wolf, J.P. (1992). “Cone Models for Homogeneous Soil.” Journal of Geotechnical Engineering, Vol. 118, No. 5, pp. 667–685.
[51] Anvarsamarin, A., Rahimzadeh Rofooei, F., Nekooei, M. (2020). “Torsion effect on the RC structures using fragility curves considering with soil-structure interaction.” Journal of Rehabilitation in Civil Engineering, Vol. 8-1, pp. 01-21.
[52] Horvath, J.S., Colasanti, R.J. (2011). “Practical Subgrade Model for Improved Soil-Structure Interaction Analysis : Model Development.” No. February, pp. 59–64.
[53] Ganjavi, B., Rezagholilou, A. (2019). “Seismic evaluation of flexible-base low-rise steel frames using Beam-on-Nonlinear-Winkler-Foundation” modeling of shallow footings.” Journal of Rehabilitation in Civil Engineering, Vol. 7-4, pp. 57-71.
[54] Gemant, A. (1936). “A method of analyzing experimental results obtained from elasto-viscous bodies.” Journal of Applied Physics, Vol. 7, No. 8, pp. 311–317, DOI: 10.1063/1.1745400.
[55] Zhang, C., Zhu, H., Shi, B., Liu, L. (2014). “Theoretical investigation of interaction between a rectangular plate and fractional viscoelastic foundation.” Journal of Rock Mechanics and Geotechnical Engineering, Vol. 6, No. 4, pp. 373–379, DOI: 10.1016/j.jrmge.2014.04.007.
[56] Szilard, R. (2004). Theories and Aplications of Plate Analysis, John Wiley & Sons, Inc.
[57] Straughan, W.T. (1990). Analysis of plates on elastic foundation.
[58] Karasin, H., Gülkan, P., Aktas, G. (2014). “A Finite Grid Solution for Circular Plates on Elastic Foundations.” KSCE Journal of Civil Engineering, Vol. 00, No. 0000, pp. 1–7, DOI: 10.1007/s12205-014-0713-x.
[59] Abdolrezayi A, Khayat N. Comparative Three-Dimensional Finite Element Analysis of Piled Raft Foundations. Comput Eng Phys Model 2021;4:19–36.
[60] Bunyamin S, Aghayan S. Settlement Modelling of Raft Footing Founded on Oferekpe/Abakaliki Shale in South East Region of Nigeria. Comput Eng Phys Model 2018;1:68–82.
[61] Cheung, Y.K., Zienkiewicz, O.C. (1965). “PLATES AND TANKS ON ELASTIC FOUNDATIONS-AN APPLICATION OF FINITE ELEMENT METHOD.” International Journal of Solids and Structures, Vol. 1, pp. 451–461.
[62] Cheung, Y.K., Nag, D.K. (1968). “PLATES AND BEAMS ON ELASTIC FOUNDATIONS- LINEAR AND NON-LINEAR BEHAVIOUR.” Geotechnique, Vol. 18, pp. 250–260.
[63] Katsikadelis, B.J.T., Armenakas, A. E., (1984). “Plates on elastic foundation by bie method.” Vol. 110, No. 7, pp. 1086–1105, DOI: 10.1061/(ASCE)0733-9399(1984)110:7(1086).
[64] Costa, J. A., C. A. Brebbia (1985). “The boundary element method applied to plates on elastic foundations.” Engineering Analysis, Vol. 2, No. 4, pp. 174–183, DOI: https://doi.org/10.1016/0264-682X(85)90029-2.
[65] Bezine, G. (1988). “A new boundary element method for bending of plates on elastic foundations.” International Journal of Solids and Structures, Vol. 24, No. 6, pp. 557–565, DOI: 10.1016/0020-7683(88)90057-1.
[66] Rashed, Y. F. (2005). “A boundary domain element method for analysis of building raft foundations.” Engineering Analysis With Boundary Elements, Vol. 29, pp. 859–877, DOI: 10.1016/j.enganabound.2005.04.007.
[67] Jianguo, W., Xiuxi, W., Maokuang, H. (1993). “A Boundary Integral Equation Formulation for Thick Plates on a Winkler Foundation.” Computer & Structures, Vol. 49, No. I, pp. 179–185.
[68] Rashed, Y., Aliabadi, M. H., Brebbia, C. A. (1998). “The Boundary Element Method for Thick Plates on a Winkler Foundation.” International Journal for Numerical Methods in Engineering, Vol. 1462, No. June 1997, pp. 1435–1462.
[69] Balaš, J., Sládek, V., Sládek, J. (1984). “The Boundary Integral Equation Method for Plates Resting on a Two‐Parameter Foundation.” ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 64, No. 3, pp. 137–146, DOI: 10.1002/zamm.19840640302.
[70] Mendonca, A.V., Paiva, J.B. (2003). “An elastostatic FEM / BEM analysis of vertically loaded raft and piled raft foundation.” Engineering Analysis With Boundary Elements, Vol. 27, pp. 919–933, DOI: 10.1016/S0955-7997(03)00061-4.
[71] Padron, L.A., Aznarez, J.J., Maeso, O. (2009). “Dynamic structure-soil-structure interaction between nearby piled buildings under seismic excitation by BEM-FEM model.” Soil Dynamics and Earthquake Engineering, Vol. 29, pp. 1084–1096, DOI: 10.1016/j.soildyn.2009.01.001.
[72] Vasilev G., Parvanova S., Dineva P., Wuttke F. (2015)., “Soil-structure interaction using BEM – FEM coupling through ANSYS software package.” Soil Dyn. Earthq. Eng., Vol. 70,pp. 104–117.
[73] Schepers, W. (2017). “Fast 3D FEM-BEM coupling for dynamic soil-structure interaction.” Procedia Engineering, Vol. 199, pp. 391–396, DOI: 10.1016/j.proeng.2017.09.129.
[74] Rashed, Y. F., Aliabadi, M. H. (2000). “Boundary element analysis of foundation plates in buildings.” Engineering Analysis With Boundary Elements, Vol. 24, pp. 201–206, DOI: 10.1007/s004660050503.
[75] Chilton, D.S., Wekezer, J.W. (1991). “Plates on Elastic Foundation.” Journal of Structural Engineering, Vol. 116, No. 11, pp. 3236–3241.
[76] El-Garhy, B.M., Wray, W.K., Youssef, A.A. (2000). “Using soil diffusion to design raft foundation on expansive soils.” ASCE, pp. 586–601.
[77] Seo, Y.-K., Choi, K.S., Jeong, S.-G. (2003). “Design Charts of Piled Raft Foundations on Soft Clay.” Proceedings of The Thirteenth (2003) International Offshore and Polar Engineering Conference, Vol. 5, pp. 753–755.
[78] Borowicka H. (1936). “Influence of rigidity of a circular foundation slab on the distribution of pressure over the contact surface.” In: Proc. First Int. conf. on Soil Mech. Found. Eng., Vol. 2, pp. 144–149.
[79] Hooper, J.A. (1974). “Analysis of a circular raft in adhesive contact with a thick elastic layer.” Geotechnique, Vol. 24, No. 4, pp. 561–580.
[80] Gazetas, G. (1981). “Variational estimation of the settlement of a circular raft on anisotropic soil.” Japanese Society of Soil Mechanics and Foundation Engineering, Vol. 21, No. 4.
[81] Jayachandran, S.A., Seetharaman, S., and Abraham, S. (2008). “Simple Formulation for the Flexure of Plates on Nonlinear Foundation.” Journal of Engineering Mechanics, ASCE, Vol. 134, No. January, pp. 110–115, DOI: 10.1061/(ASCE)0733-9399(2008)134:1(110).
[82] Tabsh, S.W., El-Emam, M.M. (2014). “Finite element-based parametric analysis of mat foundations.” Numerical Methods in Geotechnical Engineering- Hicks, Brinkgreve & Rohe (Eds), No. June 2014, pp. 693–697, DOI: 10.1201/b17017-124.
[83] Jingliang, Y., Dong, Y. (2014). “Construction Technical Measures and Control of Concrete Temperature Cracking for a Mass Flat Plate Type Raft Foundation.” Applied Mechanics and Materials, Vol. 484–485, pp. 717–721, DOI: 10.4028/www.scientific.net/AMM.484-485.717.
[84] El-garhy, B., Galil, A.A., Mari, M. (2017). “Analysis of flexible raft resting on soft soil improved by granular piles considering soil shear interaction.” Computers and Geotechnics, No. September,DOI: 0.1016/j.compgeo.2017.09.007.
[85] Foyouzat, M.A., Mofid, M. (2019). “An analytical solution for bending of axisymmetric circular/annular plates resting on a variable elastic foundation.” European Journal of Mechanics, A/Solids, Vol. 74, No. September 2018, pp. 462–470, DOI: 10.1016/j.euromechsol.2019.01.006.
[86] TaghaviGhalesari, A., Tabari, M.K., Choobbasti, A.J., EsmaeilpourShirvani, N. (2019). “Behavior of eccentrically loaded shallow foundations resting on composite soils.” Journal of Building Engineering, Vol. 23, No. March 2018, pp. 220–230, DOI: 10.1016/j.jobe.2019.01.036.