Geodesic
Equal-stressed reinforcement of metal-composite plates by the principal stress directions at steady-state creep
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 41-50.

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We formulate the problem of equal-stressed reinforcement of metal-composite plates by the principal stress directions and strain rates. The plates are loaded in the plane and running in steady-state creep. The qualitative analysis of the resolving equations system is made. The half-inverse method for solving the posed problem with the static boundary values is developed. The rational projects of reinforcement for infinite compressible plate with circular hole and for the circular plates loaded on the bounds by radial and circumferential loads are obtained. The results of calculations for such constructions are analyzed. It is shown that the considered inverse problem for the given geometry of plate and loads has the set of solutions which allows the target optimization. 
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Yu. V. Nemirovskii; A. P. Yankovskii. Equal-stressed reinforcement of metal-composite plates by the principal stress directions at steady-state creep. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 41-50. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a6/

[1] Kachanov L. M., Teoriya polzuchesti, Fizmatgiz, M., 1960

[2] Nemirovskii Yu. V., “Polzuchest odnorodnykh i kompozitnykh obolochek”, Aktualnye problemy mekhaniki obolochek, Tr. mezhdunar. konf., posvyaschennoi 100-letiyu prof. Kh. M. Mushtari, 90-letiyu prof. K. Z. Galimova i 80-letiyu prof. M. S. Kornishina (Kazan 26–30 iyunya 2000 g.), Novoe znanie, Kazan, 2000, 42–49

[3] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1969

[4] Nemirovskii Yu. V., Yankovskii A. P., Ratsionalnoe proektirovanie armirovannykh konstruktsii, Nauka. Sib. otd-nie, Novosibirsk, 2002 | Zbl

[5] Malinin N. N., Prikladnaya teoriya plastichnosti i polzuchesti, Mashinostroenie, M., 1968

[6] Demidov S. P., Teoriya uprugosti, Vyssh. shk., M., 1979

[7] Lekhnitskii S. G., Teoriya uprugosti anizotropnogo tela, 2-e izd., Nauka, M., 1977 | MR

[8] Kamke E., Spravochnik po differentsialnym uravneniyam v chastnykh proizvodnykh pervogo poryadka, Nauka, M., 1966 | Zbl

[9] Pisarenko G. S., Mozharovskii N. S., Uravneniya i kraevye zadachi teorii plastichnosti i polzuchesti, Sprav. posobie, Nauk. dumka, Kiev, 1981 | MR

[10] Bryzgalin G. I., Proektirovanie detalei iz kompozitnykh materialov voloknistoi struktury, Mashinostroenie, M., 1982