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IssuesArchive of Issues2007-6pp.897-909

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I. A. Volkov and Yu. G. Korotkikh, "Modeling of processes of complex plastic deformation of materials along arbitrary temperature and force loading paths," Mech. Solids. 42 (6), 897-909 (2007)
Year 2007 Volume 42 Number 6 Pages 897-909
Title Modeling of processes of complex plastic deformation of materials along arbitrary temperature and force loading paths
Author(s) I. A. Volkov (Volga State Academy of Water Transport, Nesterova 5, Nizhnii Novgorod, 603005, Russia, ows@agva.sci-nnov.ru)
Yu. G. Korotkikh (Volga State Academy of Water Transport, Nesterova 5, Nizhnii Novgorod, 603005, Russia)
Abstract We develop a mathematical model describing the processes of complex plastic deformation of structural materials (metals and their alloys) under multiaxial nonproportional paths of complex temperature and force loading. To obtain qualitative and quantitative assessment of the constitutive relations developed here, we study how the strain path shape affects the plastic behavior of metals. We show that the version of constitutive relations developed here correctly represents the main elastoplastic deformation effects in metals for arbitrary strain paths.
References
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3.  A. A. Lebedev, B. I. Koval'chuk, N. M. Kul'chitskii, and A. F. Khakimov, "Experimental Study of Steel Strain Processes over Two-Link Trajectories," Probl. Prochn., No. 3, 7-10 (1988).
4.  Y. Ohasi and E. Tanaka, "Plastic Behavior of Mild Steel along Orthogonal Trilinear Strain Trajectory in Three-Dimensional Vector Space of Strain Deviator," Trans. ASME 103 (4), 287-292 (1981).
5.  V. G. Zubchaninov, N. L. Okhlopkov, and V. V. Garannikov, Experimental Plasticity, Vol. 1, Complex Strain Processes (TGTU, Tver, 2003) [in Russian].
6.  V. G. Zubchaninov, N. L. Okhlopkov, and V. V. Garannikov, Experimental Plasticity, Vol. 2, Complex Loading Processes (TGTU, Tver, 2004) [in Russian].
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8.  Yu. G. Kazakov, S. A. Kapustin, and Yu. G. Korotkikh, Modeling of Strain and Fracture Processes for Materials and Structures (NNGU, N. Novgorod, 1999) [in Russian].
9.  G. A. Makovkin, "Comparative Analysis of Nonproportionality Parameters for Complex Elastoplastic Strain," in Vestnik Nizhegorod. Univ. (NNGU, N. Novgorod, 1999), pp. 30-36.
10.  Yu. G. Korotkikh, I. A. Volkov, and I. Yu. Gordleeva, "Modelling of Steel Elastoplastic Strain Processes under Complex Loading," in Stability and Creeping under Complex Loading (TGTU, Tver, 2000), pp. 60-65 [in Russian].
11.  F. M. Mitenkova, G. F. Gorodova, Yu. G. Korotkikh, et al. (Editors), Methodology, Methods, and Tools of Field Inspection of NPP (Mashinostroenie, Moscow, 2006) [in Russian].
12.  Y. Ohashi, "Inelastic Behavior of Type 316 Stanless Steel under Multiaxial Nonproportional Cyclic Stressings at Elevated Temperature," Teoret. Osnovy Inzhener. Raschetov 107 (2), 6-15 (1985) [Trans. ASME, J. of Eng. Mat. and Technology 107 (2), 101-109 (1985)].
13.  Y. Ohashi, "Plastic Deformation of 316 Stainless Steel Subject to Out-of-Phase Strain Cycles," Teoret. Osnovy Inzhener. Raschetov, No. 4, 61-73 (1985).
14.  S. Soshi, "Fracture Models under Multiaxial Fatigue," Teoret. Osnovy Inzhener. Raschetov, No. 9, 9-21 (1988).
Received 20 January 2007
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