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Green’s function for a pre-stressed thin plate on an elastic foundation under axisymmetric loading. (English) Zbl 1182.74141
Summary: Green’s functions are obtained for an infinite pre-stressed (compressed or stretched) thin plate on an elastic foundation under axisymmetric loading. The analytical procedure for the solution of the derived fundamental differential equation of a pre-stressed thin plate on an elastic foundation is based on Hankel’s integral transforms and generalized functions theory. Numerical examples are included.

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[1] Luttgardes de Oliveira Neto; Joao Batista de Paiva, Cubic approximation for the transverse displacement in BEM for elastic plates analysis, Eng anal bound elem, 28, 869-880, (2004) · Zbl 1130.74483
[2] Palermo, L., Plate bending analysis using the classical or reissner – mindlin models, Eng anal bound elem, 27, 603-609, (2003) · Zbl 1054.74636
[3] Utku, M.; Citipitioglu, E.; Inceleme, I., Circular plates on elastic foundations modeled with annular plates, Comput struct, 78, 365-374, (2000)
[4] Chandrashekhara, K.; Antony, J., Elastic analysis of an annular slab – soil interaction problem using hybrid method, Comput geotech, 20, 161-176, (1997)
[5] Papakaliatakis, G.; Simos, T.E., A finite difference method for the numerical solution of fourth-order differential equations with engineering applications, Comput struct, 65, 491-495, (1997) · Zbl 0918.73318
[6] Timoshenko, S.P.; Woinowsky-Krieger, S., Theory of plates and shells, (1959), McGraw-Hill New York · Zbl 0114.40801
[7] Kilbas, A.A.; Saigo, M., H-transforms, (2004), CRC Press Florida · Zbl 1056.44001
[8] Sneddon, I.N., The use of integral transforms, (1972), McGraw-Hill New York · Zbl 0237.44001
[9] Sneddon, I.N., Fourier transforms, (1995), Dover Publications New York
[10] Wolfram, S., Mathematica, (2003), Wolfram Media USA
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