Numerical-analytical method of solving the plane problem of equal-stressed reinforcement of metal-composite plates under steady creep conditions
DOI:
https://doi.org/10.7242/1999-6691/2009.2.2.17Keywords:
plates, steady creep, rational projection, equal-stressed reinforcement, simple iteration method, generalized Runge-Kutta methodsAbstract
The problem of equal-stressed reinforcement of plates loaded in plane and operating under conditions of steady creep is integrated numerically by performing the synthesis of a simple iteration method and generalized Runge-Kutta methods. It is shown that there may be several alternative solutions to the problem under consideration, and all solutions can be selected reliably using the developed algorithm. Specific projects of equal-stress-reinforcement of a doubly-connected plate subjected to different loading conditions are developed.
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References
Kacanov L.M. Teoria polzucesti. - M.: Fizmatgiz, 1960. - 456s.
Nemirovskij U.V., Ankovskij A.P. Ravnonaprazennoe armirovanie metallokompozitnyh plastin voloknami postoannogo poperecnogo secenia v usloviah ustanovivsejsa polzucesti // Meh. kompozit. materialov. - 2008. - T. 44, No 1. - S. 11-34.
Samarskij A.A. Teoria raznostnyh shem. - M.: Nauka, 1989. - 616s.
Nemirovskij U.V., Reznikov B.S. Procnost’ elementov konstrukcij iz kompozitnyh materialov. - Novosibirsk: Nauka, 1986. - 168s.
Nemirovskij U.V. Polzucest’ odnorodnyh i kompozitnyh obolocek // Aktual’nye problemy mehaniki obolocek: Tr. mezdunar. konf., posvasennoj 100-letiu prof. H.M. Mustari, 90-letiu prof. K.Z. Galimova i 80-letiu prof. M.S. Kornisina (Kazan’ 26-30 iuna 2000 g.). - Kazan’: Novoe znanie, 2000. - S. 42-49.
Nemirovskij U.V., Ankovskij A.P. Opredelenie effektivnyh fiziko-mehaniceskih harakteristik gibridnyh kompozitov, perekrestno armirovannyh transversal’no-izotropnymi voloknami, i sopostavlenie rascetnyh harakteristik s eksperimental’nymi dannymi // Meh kompozic. materialov i konstrukcij. - 2007. - T. 13, No. 1. - S. 3-32.
Dzuraev T.D. Kraevye zadaci dla uravnenij smesannogo i smesanno-sostavnogo tipov. - Taskent: FAN, 1979. - 238s.
Pisarenko G.S., Mozarovskij N.S. Uravnenia i kraevye zadaci teorii plasticnosti i polzucesti: Spravocnoe posobie. - Kiev: Nauk. dumka, 1981. - 496s.
Kompozicionnye materialy. Spravocnik / Pod red. D.M. Karpinosa. - Kiev: Nauk. dumka, 1985. - 592s.
Bezuhov N.I., Bazanov V.L., Gol’denblat I.I., Nikolaenko N.A., Sinukov A.M. Rascety na procnost’, ustojcivost’ i kolebania v usloviah vysokih temperatur / Pod red. I.I. Gol’denblata. - M.: Masinostroenie, 1965. - 568s.
Karpinos D.M., Nevgod V.A., Tucinskij L.I. i dr. Polzucest’ i dlitel’naa procnost’ vol’framovyh provolok // Problemy procnosti. - 1972. - No 1. - S. 70-73.
Sosnin O.V. O polzucesti slabo uprocnausihsa materialov pri nestacionarnyh temperaturno-silovyh rezimah // Problemy procnosti. - 1972. - No 1. - S. 74-77.
Petrovskij I. G. Lekcii ob uravneniah s castnymi proizvodnymi. - M.: Fizmatgiz, 1961. - 400s.
Rozdestvenskij B.L., Anenko N.N. Sistemy kvazilinejnyh uravnenij. - M.: Nauka, 1969. - 592s.
Nemirovskij U.V., Ankovskij A.P. Obobsenie metodov Runge-Kutty i ih primenenie k integrirovaniu nacal’no-kraevyh zadac matematiceskoj fiziki // Sibirskij zurnal vycislitel’noj matematiki. - 2005. - T. 8, No 1. - S. 57-76.
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