Abstract
N. Hoff, L. M. Kachanov, and Yu. N. Rabotnov derived coupled high-temperature creep and damage equations on the basis of several assumptions; in particular, they used the incompressibility condition, which contradicts the notion of damage. To eliminate this contradiction, one should consider the mass conservation law and take the irreversible change of density for the damage parameter. The coupled damage and creep equations and the long-term strength criterion for a compressible medium are stated in the present paper with these concepts taken into account.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. N. Andrade, “On the Viscous Flow of Metals and Allied Phenomena,” Proc. Roy. Soc. 84(A567), 1–12 (1910).
A. A. Chizhik, “Study of Steel 20Kh12VNMF Steel Heat Resistance Characteristics in Tests of Long Duration,” in Strength Prediction for Material and Structure Elements of Long Life Machines (Naukova Dumka, Kiev, 1977), pp. 22–30 [in Russian].
Yu. K. Petrenya, Physical-Mechanical Foundations of Continual Damage Mechanics (Politekhnika, St. Petersburg, 1997) [in Russian].
V. R. Regel, A. I. Slutsker, and E. E. Tomashevskii, Kinetic Nature of Strength of Rigid Bodies (Nauka, Moscow, 1974) [in Russian].
N. J. Hoff, “The Necking and Rupture of Rods Subjected to Constant Tensile Loads,” J. Appl. Mech. 20(1), 105–108 (1953).
L.M. Kachanov, “On the Time of Fracture under Creeping Conditions,” Izv. Akad.Nauk SSSR.OTN, No. 8, 26–31 (1958).
L.M. Kachanov, Foundations of Fracture Mechanics (Nauka, Moscow, 1974) [in Russian].
Yu.N. Rabotnov, “On Mechanism of Long Fracture,” in Problems of Strength of Materials and Structures (Izd-vo AN SSSR, 1959), pp. 5–7 [in Russian].
Yu. N. Rabotnov, “On Fracture due Creep,” Zh. Prikl. Mekh. Tekhn. Fiz., No. 2, 113–123 (1963) [J. Appl. Mech. Tech. Phys. (Engl. Transl.)].
Yu. N. Rabotnov, Creep of Structural Members (Nauka, Moscow, 1966) [in Russian].
A. M. Lokoshchenko, “Investigation of Material Damage under Creep and Creep Strength,” Zh. Prikl. Mekh. Tekhn. Fiz., No. 6, 129–133 (1982) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 23 (6), 855–859 (1982)].
V. V. Novozhilov, “On Plastic Cavitation,” Prikl. Mat. Mekh. 29(4), 681–689 (1965) [J. Appl. Math. Mech. (Engl. Transl.) 29 (4), 811–819 (1965)].
R. A. Arutyunyan, Creep of Structural Members (Izd-vo StPbGU, St. Petersburg, 2004) [in Russian].
R. T. Ratcliffe and G. W. Greenwood, “the Mechanics of Cavitation in Magnesiumduring Creep,” Phil. Mag. 12(115), 59–69 (1965).
V. I. Betekhtin, “Porosity of Solids,” Trans. of St. Petersburg Acad. Sci. for Strength Problems 1, 202–210 (1997).
R. C. Boethner and W. D. Robertson, “A Study of Growth of Voids in Copper during the Creep Process by Measurement of the Accompanying Change in Density,” Trans. of the Metallurg. Society of AIME 221(3), 613–622 (1961).
C. Beghi, C. Geel, and G. Piatti, “Density Measurements after Tensile and Creep Tests on Pure and Slightly Oxidized Aluminium,” J. Mat. Sci. 5(4), 331–334 (1970).
L. Brathe, “Macroscopic Measurements of Creep Damage in Metals,” Scand. J. Metal. 7(5), 199–203 (1978).
D. A. Woodford, “Density Changes during Creep in Nickel,” Metal. Sci. J. 3(11), 234–240 (1969).
P. Bowring, P. W. Davies, and B. Wilshire, “The Strain Dependence of Density Changes during Creep,” Metal. Sci. J. 2(9), 168–171 (1968).
V. I. Kumanin, L. A. Kovaleva, and S. V. Alekseeva, Long Life of Metals under Creep Conditions (Metallurgiya, Moscow, 1988) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © R.A. Arutyunyan, 2015, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2015, No. 2, pp. 96–105.
About this article
Cite this article
Arutyunyan, R.A. High-temperature embrittlement and long-term strength of metallic materials. Mech. Solids 50, 191–197 (2015). https://doi.org/10.3103/S0025654415020089
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654415020089