Geodesic
Elastoplastic problems in the uniaxially strained state approximation. Analytical and numerical solutions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 37-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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A detailed study of a shock-wave structure and an unloading wave for elastoplastic problems in the one-dimensional deformed state approximation is given. A brief description of a numerical algorithm is also given. The verification of the TIS software complex is discussed for one-dimensional plane problems. This complex is based on the method of separation into physical processes and on the finite volume method using moving Eulerian grids. 
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     title = {Elastoplastic problems in the uniaxially strained state approximation. {Analytical} and numerical solutions},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a5/}
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A. B. Kiselev; A. V. Mischenko. Elastoplastic problems in the uniaxially strained state approximation. Analytical and numerical solutions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 37-45. http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a5/

[1] Mischenko A.V., Serezhkin A.A., Menshov I.S., Kiselëv A.B., “Vychislitelnyi kompleks “TIS-1D”. Opisanie i testirovanie na odnomernykh uprugoplasticheskikh zadachakh”, Zababakhinskie nauchnye chteniya, Sb. mat-lov XI Mezhdunar. konf. (16–20 aprelya 2012), Izd-vo RFYaTs-VNIITF, Snezhinsk, 2012, 306

[2] Serezhkin A.A., “Metod razdeleniya po fizicheskim protsessam dlya modelirovaniya deformirovaniya i razrusheniya tverdykh tel”, Zababakhinskie nauchnye chteniya, Sb. mat-lov XI Mezhdunar. konf. (16–20 aprelya 2012), Izd-vo RFYaTs-VNIITF, Snezhinsk, 2012, 328

[3] Menshov I., Mischenko A., Serezhkin A., “An Eulerian Godunov-type scheme for calculation of the elastic-plastic flow equations with moving grids”, Europ. Congress on Comput. Methods in Appl. Sci. and Eng., ECCOMAS 2012 (Vienna, Austria, September 10–14, 2012), eds. J. Eberhardsteiner et al., 2012, 2164, CD format

[4] Kovenya V.M., Yanenko N.N., Metod rasschepleniya v zadachakh gazovoi dinamiki, Nauka, Novosibirsk, 1981 | MR

[5] S.K. Godunov (red.), Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1986 | MR

[6] Abuzyarov M.Kh., Bazhenov V.G., Kotov V.L., Kochetkov A.V., Krylov S.V., Feldgun V.R., “Metod raspada razryvov v dinamike uprugoplasticheskikh sred”, Zhurn. vychisl. matem. i matem. fiz., 2000, no. 6, 940–953 | MR | Zbl

[7] Bazhenov V.G., Kotov V.L., “Modifikatsiya chislennoi skhemy Godunova dlya resheniya zadach impulsnogo nagruzheniya myagkikh gruntov”, Prikl. mekhan. i tekhn. fiz., 2002, no. 4, 139–149 | Zbl

[8] Prager V., Vvedenie v mekhaniku sploshnykh sred, IL, M., 1963

[9] Kiselev A.B., Yumashev M.V., “Deformirovanie i razrushenie pri udarnom nagruzhenii. Model povrezhdaemoi termouprugoplasticheskoi sredy”, Prikl. mekhan. i tekhn. fiz., 1990, no. 5, 116–123

[10] Kiselev A.B., “Matematicheskoe modelirovanie dinamicheskogo deformirovaniya i kombinirovannogo mikrorazrusheniya termouprugovyazkoplasticheskoi sredy”, Vestn. Mosk. un-ta. Matem. Mekhan., 1998, no. 6, 32–40 | Zbl

[11] Kulikovskii A.G., Pogorelov N.V., Semënov A.Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | MR

[12] Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M., Chislennye metody, Fizmatlit, M., 1987 | MR

[13] Udaykumar H.S., Tran L., Belk D.M., Vanden K.J., “An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces”, J. Comp. Phys., 186 (2003), 136–177 | DOI | Zbl