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On the analysis of thick rectangular plates. (English) Zbl 0289.73046


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74K20 Plates
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[1] Reissner, E.: The effect of transverse shear deformation on the bending of elastic plates. J Appl. Mech; 12 (1945) p. A69 · Zbl 0063.06470
[2] Kromm, A.:?ber die Randquerkr?fte bei gest?tzten Platten. Z. Angew. Math. Mech. 35 (1955) p. 231 · Zbl 0064.18807 · doi:10.1002/zamm.19550350604
[3] Marguerre, K., Woernle, H. T.: Elastic plates. Waltham, Mass., Toronto, London 1969
[4] Green, A. E.: On Reissner’s theory of bending of elastic plates. Quart. Appl. Math. 7 (1949) p. 223 · Zbl 0034.26402
[5] Donnell, L. H.: A theory for thick plates. Proc. 2nd U.S. Nat. Cong. Appl. Mech. 1954 P. 369
[6] Lee, C. W.: Three dimensional solution for simply supported thick rectangular plates. Nuclear Engng. Design 6 (1967) p. 155 · doi:10.1016/0029-5493(67)90126-4
[7] Friedrichs, K. O., Dressler, R. F.: A boundary layer theory for elastic plates. Comm. Pure Appl. Math. 14 (1961) p. 1 · Zbl 0096.40001 · doi:10.1002/cpa.3160140102
[8] Goldenveizer, A. L.: Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity. Appl. Math. Mech. English translation of Prikl. Mat. Mech. 26 (1968) p. 1000
[9] Lure, A. I.: Three dimensional problems in the theory of elasticity. New York, London, Sydney, Toronto 1964
[10] Poniatovskii, V. V.: Theory for plates of medium thickness. Prikl. Mat. Mekh. 26 (1962) p. 335
[11] Srinivas, S., Rao, A. K., Joga Rao, C. V.: Flexure of simply supported thick homogeneous and laminated rectangular plates. Z. Angew. Math. Mech. 49 (1969) p. 449 · Zbl 0187.23201 · doi:10.1002/zamm.19690490802
[12] Vlasov, V. Z.: Method of initial functions in problems of theory of thick plates and shells. Proc. 9th Int. Cong. Appl. Mech., Brussels, 1957, P. 321
[13] Timoshenko, S., Krieger, S. W.: Theory of plates and shells. New York, 2nd ed., 1959, p. 165 · Zbl 0114.40801
[14] Goodier, J. N.: The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 13 (1946) P. 251 · Zbl 0063.01142
[15] Langhaar, H. L.: Energy methods in applied mechanics. New York, London, Sydney, Toronto 1964
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