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Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity. (English. Russian original) Zbl 0118.41603

PMM, J. Appl. Math. Mech. 26, 1000-1025 (1963); translation from Prikl. Mat. Mekh. 26, 668-686 (1962).

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[1] Vishik, M. I.; Liusternik, L. A., Reguliarnoe vyrozhdenle i pogranichnyi sloi dlia lineinykh differentsial’nykh uravnenii s malym parametrom, UMN, Vol. 12 (1957), No. 5
[2] Reissner, E., On the theory of bending of elastic plates, J. Math- and Phys., Vol. 22 (1944) · Zbl 0336.73026
[3] Gol’denveizer, A. L., K teorii izgiba plastinok Reissnera’, (OTN No. 4 (1958), Izv. Akad. Nauk USSR)
[4] Vlasov, B. F., Ob uravneniiakh teorii izgiba plastinok, (OTN No. 12 (1957), Izv. Akad. Nauk USSR)
[5] Ambartsumian, S. A., K teorii izgiba anizotropnykh plastinok, (OTN No. 5 (1958), Izv. Akad. Nauk USSR)
[6] Ambartsumian, S. A., K obshchei teorii anizotropnykh obolochek, PMM, Vol. 22, No. 2 (1958)
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