Title
Singulyarnost' napryazheniy v vershine krugovykh i nekrugovykh konusov: Analiticheskie i chislennye metody. Parametricheskiy ana,Used
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Dlya zadach teorii uprugosti narushenie gladkosti iskhodnykh dannykh v nekotorykh tochkakh, nazyvaemykh osobymi, mozhet privesti k poyavleniyu v resheniyakh beskonechnykh (singulyarnykh) napryazheniy. Eto tochki narusheniya gladkosti poverkhnosti, smeny tipa granichnykh usloviy, izmeneniya znacheniy uprugikh postoyannykh. Analiz raschetnykh skhem razlichnykh zadach teorii uprugosti, pozvolyaet sdelat' vyvod o tom, chto osobye tochki razlichnogo tipa vstrechayutsya dostatochno chasto. Neobkhodimo otmetit', chto singulyarnye resheniya yavlyayutsya sledstviem idealizatsii real'nogo ob"ekta pri postroenii raschetnykh skhem. Prakticheskaya znachimost' etikh resheniy sostoit v tom, chto okrestnost' osobykh tochek yavlyaetsya, kak pravilo, zonoy yarko vyrazhennoy kontsentratsii napryazheniy. V knige rassmatrivayutsya analiticheskie i chislennye metody dlya otsenki kharaktera singulyarnosti napryazheniy v vershinakh razlichnykh variantov konusov i provoditsya analiz na osnove etikh metodov singulyarnosti napryazheniy pri razlichnykh geometricheskikh i mekhanicheskikh parametrakh. Kniga prednaznachena dlya nauchnykh rabotnikov, aspirantov i studentov, oblast'yu interesov kotorykh yavlyaetsya mekhanika tverdogo tela.
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