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A.M. Lokoshchenko, "Use of a Vector Damage Parameter in Modeling of Long-Term Strength of Metals," Mech. Solids. 51 (3), 315-320 (2016)
Year 2016 Volume 51 Number 3 Pages 315-320
DOI 10.3103/S0025654416030080
Title Use of a Vector Damage Parameter in Modeling of Long-Term Strength of Metals
Author(s) A.M. Lokoshchenko (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119192 Russia, loko@imec.msu.ru)
Abstract We consider the results of known tests of tubular specimens under a constant axial stress and a constant or alternating tangential stress. The cyclic variation in the sign of the tangential stresses significantly increases the time to fracture.

The modeling of long-term strength of metals in unsteady complex stress states encounters significant difficulties. The application of the kinetic theory of long-term strength is apparently the most promising method for solving this problem. As a rule, the use of a scalar damage parameter does not permit describing the specific characteristics of fracture for various loading programs. The use of a tensor damage parameter also encounters difficulties because of a large number of functions and material constants contained in the kinetic equations. In this paper, we propose to use a vector damage parameter to describe the experimental data under study.
Keywords long-term strength, complex stress state, kinetic theory, vector damage parameter, tubular specimen, time to fracture, alternating torsion
References
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2.  Yu. N. Rabotnov, "On the Mechanism of Long-Term Fracture," in Problems of Strength of Materials and Structures (Izdat. AN SSSR, Moscow, 1959) [in Russian].
3.  Yu. N. Rabotnov, Creep of Structural Members (Nauka, Moscow, 1966) [in Russian].
4.  W. A. Trampezynski, D. R. Hayhurst, and F. A. Leckie, "Creep Rupture of Copper and Aluminum under Nonproportional Loading," J. Mech. Phys. Solids 29 (5-6), 353-374 (1981).
5.  F. Trivaudey and P. Delobelle, "High Temperature Creep Damage under Biaxial Loading. Pt. 1. Experiments," Trans. ASME. J. Engng Mater. Technol. 112 (4), 442-449 (1990).
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8.  L. M. Kachanov, Foundations of Fracture Mechanics (Nauka, Moscow, 1974) [in Russian].
9.  A. M. Lokoshchenko, "Study of Long-Term Strength in Complex Stress State by a Kinetic Approach," Trudy TsKTI, No. 230, 107-109 (1986).
10.  A. M. Lokoshchenko, "Methods for Modeling of Long-Term Strength of Metals in Steady and Unsteady Complex Stress States," in Elasticity and Inelasticity. Intern. Scientific Symposium in Problems of Mechanics of Deformable Solids Dedicated to A. A. Il'yushin on the Occasion of His 100th Birthday, January 20-21, 2011, Moscow (Izdat. MGU, Moscow, 2011), pp. 389-393 [in Russian].
11.  A. M. Lokoshchenko and V. V. Nazarov, "Long-Term Strength of Metals under an Equiaxial Plane Stress State," Zh. Prikl. Mekh. Tekhn. Fiz., No. 4, 150-157 (2009) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 50 (4), 670-676 (2009)].
Received 22 March 2015
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