Mechanics of Solids (about journal) Mechanics of Solids
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IssuesArchive of Issues2004-1pp.143-152

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Total articles in the database: 10864
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D. A. Kulagin and A. M. Lokoshchenko, "Modeling of the influence of a corrosive environment on the creep and long-term strength of metals subjected to complex stress state," Mech. Solids. 39 (1), 143-152 (2004)
Year 2004 Volume 39 Number 1 Pages 143-152
Title Modeling of the influence of a corrosive environment on the creep and long-term strength of metals subjected to complex stress state
Author(s) D. A. Kulagin (Moscow)
A. M. Lokoshchenko (Moscow)
Abstract A new approach is suggested for the description of deformation and long-term fracture of metals under the simultaneous influence of external mechanical loads at a complex stress state and a corrosive environment. To model this influence, we utilize the structural-phenomenological approach in accordance to which the material is represented as consisting of a large number of structural elements. To describe the long-term strength phenomenon, we introduce the concept of the probability of fracture for individual elements and derive the kinetic equation for the density of undamaged structural elements. To characterize the complex stress state, we utilize the concept of the equivalent stress in the structural element. We choose the stress intensity to be the equivalent stress. For a special case of loading of a cylindrical shell, the conditions of the initiation and propagation of the fracture front are established. The transition from the microfracture on the level of the structural elements to the macrofracture of the entire body is considered. Detailed creep and long-term strength analyses are performed for a thick-walled tube subjected to an internal pressure and a corrosive medium in the internal cavity. The equations obtained are applied to the analysis of the familiar experimental data on the long-term strength scale effect in thin-walled tubular specimens.
References
1.  V. V. Bolotin, Durability of Machines and Structures [in Russian], Mashinostroenie, Moscow, 1990.
2.  Yu. N. Rabotnov, Mechanics of Solids [in Russian], Nauka, Moscow, 1988.
3.  J. Bogdanoff and F. Kozin, Probabilistic Models Of Cumulative Damage [Russian translation], Mir, Moscow, 1989.
4.  D. A. Kulagin and A. M. Lokoshchenko, "Analysis of the influence of a surrounding medium on the long-term strength by using a probabilistic approach," Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 124-133, 2001.
5.  L. M. Kachanov, "On the failure time in the case of creep," Izv. AN SSSR. OTN, No. 8, pp. 26-31, 1958.
6.  Yu. N. Rabotnov, "On the long-term fracture mechanics," in Issues of Strength of Materials and Structures [in Russian], pp. 5-7, Izd-vo AN SSSR, Moscow, 1959.
7.  V. D. Kurov, G. P. Mel'nikov, and V. D. Tokarev, "The influence of the scale effect on the failure time for steel Kh18N10T tubes in the case of creep at a temperature of 1123 K, Mashinovedenie, No. 6, pp. 107-108, 1967.
Received 14 October 2003
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