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IssuesArchive of Issues2014-1pp.49-58

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A.M. Lokoshchenko and A.V. Sokolov, "Creep and Long-Time Fracture of a Cylindrical Shell under External Pressure in the Presence of an Aggressive Medium," Mech. Solids. 49 (1), 49-58 (2014)
Year 2014 Volume 49 Number 1 Pages 49-58
DOI 10.3103/S0025654414010063
Title Creep and Long-Time Fracture of a Cylindrical Shell under External Pressure in the Presence of an Aggressive Medium
Author(s) A.M. Lokoshchenko (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, loko@imec.msu.ru)
A.V. Sokolov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, eggegg@yandex.ru)
Abstract We consider the process of deformation and fracture of an oval ring modeling the behavior of a long cylindrical shell subjected to distributed external pressure. The shell deformation is studied in both the presence and absence of an aggressive medium. The hypothesis of nonlinear viscosity with a singular component is taken for the constitutive relation used to estimate the metal characteristics. This relation allows for the difference between the tensile and compression strength of the material. The singularity permits taking into account not only the nonlinear viscosity but also instantaneous fracture characteristics. We show that an aggressive medium can substantially decrease the shell operation life.
Keywords cylindrical shell, ring, distributed external pressure, aggressive medium, creep, fracture, ovality, two-layer model
References
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4.  V. I. Van'ko and S. A. Shesterikov, "Ring Flattening in Creep," Inzh. Zh. MTT, No. 5, 127-130 (1966).
5.  A. M. Lokoshchenko and S. A. Shesterikov, "Flattening of Cylindrical Shells in Creep," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 113-118 (1985) [Mech. Solids (Engl. Transl.)].
6.  A. M. Lokoshchenko and S. A. Shesterikov, "Flattening of Cylindrical Shells under External Distributed Pressure in Creep," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 144-149 (1992) [Mech. Solids (Engl. Transl.)].
7.  A. M. Lokoshchenko and M. A. Yumasheva, "Deformation of a Cylindrical Shell under External Pressure with Creep," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 129-133 (2000) [Mech. Solids (Engl. Transl.) 35 (6), 108-111 (2000)].
8.  S. A. Shesterikov and M. A. Yumasheva, "Specification of Equation of State in Creep Theory," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1, 86-91 (1984) [Mech. Solids (Engl. Transl.)].
9.  S. A. Shesterikov and M. A. Yumasheva, "A Version of the Constitutive Equation in Creep and Its Applications," in Problems of Long-Time Strength of Power Equipment, No. 246 (Tsentr. Kotloturb. In-t, Leningrad, 1988), pp. 74-77 [in Russian].
10.  A. M. Lokoshchenko, Creep and Long-Time Strength of Metals in Aggressive Media (Izd-vo MGU, Moscow, 2000) [in Russian].
11.  A. M. Lokoshchenko, Modeling of Creep and Long-Time Strength of Metals (Izd-vo Mosk. Gos. Industr. Univ., Moscow, 2007) [in Russian].
12.  I. A. Oding and Z. G. Fridman, "Role of Surface layers in Long-Time Fracture of Metals in Creep," Zavodskaya Laboratoriya 25 (3), 329-332 (1959).
13.  S. K. Godunov and V. S. Raben'kii, Introduction to the Theory of Difference Schemes (Fizmatgiz, Moscow, 1962) [in Russian].
Received 20 August 2013
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