journal article·2009-11

Modeling of cyclic elastoplastic deformation of metals under arbitrary loading trajectories

I. A. Volkov, Yu. G. Korotkikh, I. S. Tarasov

Strength of Materials· Volume 41· Issue 6
Publisher page

Abstract

We develop a mathematical model that describes the processes of complex plastic deformation of structural materials (metals and alloys) for monotone and cyclic nonproportional paths of combined thermopower loading. For the qualitative and quantitative estimation of the developed constitutive relations, we study the influence of the shape of the strain trajectory on the cyclic elastoplastic behavior of metals. It is shown that the proposed version of constitutive relations corresponds qualitatively and quantitatively to the basic effects of cyclic elastoplastic deformation of metals for arbitrary strain trajectories.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Geotechnical and Geomechanical Engineering · Material Properties and Failure Mechanisms · Elasticity and Wave Propagation

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (23)

Show source-provided references
1. V. P. Degtyarev, Plasticity and Creep of Mechanical-Engineering Structures [in Russian], Mashinostroenie, Moscow (1967).
2. A. M. Zhukov, “Specific features of the behavior of metals under elastoplastic deformation,” in: Problems of Plasticity Theory [in Russian], Academy of Sciences of the USSR, Moscow (1961), pp. 30–57.
3. A. A. Lebedev, B. I. Koval’chuk, N. M. Kul’chitskii, and A. F. Khakimov, “Experimental study of the deformation of steel along bilinear paths,” Strength Mater., 20, No. 3, 280–284 (1988).10.1007/BF01529738 ↗
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, No. 4, 287–292 (1981).
5. V. G. Zubchaninov, N. L. Okhlopkov, and V. V. Garannikov, Experimental Plasticity. Part 1. Processes of Complex Deformation [in Russian], Tver State Technical University, Tver (2003).
6. V. G. Zubchaninov, N. L. Okhlopkov, and V. V. Garannikov, Experimental Plasticity. Part 2. Processes of Complex Loading [in Russian], Tver State Technical University, Tver (2004).
7. A. A. Zakhovaiko and N. S. Mozharovskii, “Strength and ductility characteristics for a material with complex loading paths,” Strength Mater., 14, No. 1, 102–104 (1982).10.1007/BF00769195 ↗
8. A. P. Gusenkov, Strength under Isothermal and Nonisothermal Low-Cycle Loading [in Russian], Mashinostroenie, Moscow (1983).
9. Y. Ohasi, M. Kawai, and T. Kaito, “Inelastic behavior of type 316 stainless steel under multiaxial nonproportional cyclic stressings at elevated temperature,” ASME J. Eng. Mater. Techn., 107, No. 2, 101–109 (1985).10.1115/1.3225781 ↗
10. Y. Ohasi, E. Tanaka, and M. Ooka, “Plastic deformation behavior of type 316 stainless steel subject to out-of-plane strain cycles,” ASME J. Eng. Mater. Techn., 107, No. 4, 286–292 (1985).10.1115/1.3225821 ↗
11. D. F. Socie, J. Kurath, and J. Koch, “Multiaxial fatigue damage parameter,” ASME J. Eng. Mater. Techn., 110, 380–388 (1988).10.1115/1.3226066 ↗
12. S. V. Serensen (Ed.), Study of Low-Cycle Strength at High Temperatures [in Russian], Nauka, Moscow (1975).
13. J. Collins, Failure of Materials in Mechanical Design, Wiley, New York (1993).
14. H. S. Lamba and O. M. Sidebottom, “Cyclic plasticity for nonproportional paths,” ASME J. Eng. Mater. Techn., 100, 96–103 (1978).10.1115/1.3443456 ↗
15. D. L. McDowell, “An experimental study of the structure of constitutive equations for nonproportional cyclic plasticity,” ASME J. Eng. Mater. Techn., 107, No. 4, 307–316 (1985).10.1115/1.3225824 ↗
16. M. Bernard-Connoly, B. Thang, and A. Biron, “Multilevel strain controlled fatigue on a type 304 stainless steel,” ASME J. Eng. Mater. Techn., 105, 188–194 (1983).10.1115/1.3225642 ↗
17. A. Benallal, S. Calloch, C. Laborderie, and D. Marquis, “Hardening of metals under cyclic nonproportional loading in tension–torsional triaxial tension,” in: Int. Seminar on Multiaxial Plasticity (Sept. 1–4, 1992), Cachon, France (1992), pp. 1–7.
18. V. G. Zubchaninov and N. L. Okhlopkov, “Hardening of structural materials in the process of complex deformation along closed plane trajectories,” Strength Mater., 29, No. 3, 220–228 (1997).10.1007/BF02767438 ↗
19. E. Tanaka, S. Murakami, and M. Ooka, “Effect of plastic strain amplitudes on nonproportional cyclic plasticity,” Acta Mech., 57, 167–182 (1985).10.1007/BF01176916 ↗
20. I. A. Volkov and Yu. G. Korotkikh, Equations of State of Viscoelastoplastic Media with Damages [in Russian], Fizmatlit, Moscow (2008).
21. A. Benallal and D. Marquis, “Constitutive equations for nonproportional cyclic elasto-viscoplasticity,” ASME J. Eng. Mater. Techn., 109, 326–337 (1987).10.1115/1.3225985 ↗
22. G. A. Makovkin, “Comparative analysis of parameters of nonproportionality under complex elastoplastic deformation,” Vestn. Nizhegor. Univ. im. N. I. Lobachevskogo, Ser. Mekhanika, Issue 1, 30–36 (1999).
23. Yu. G. Korotkikh, I. A. Volkov, and I. Yu. Gordleeva, Modeling of Processes of Elastoplastic Deformation of Steels under Complex Loading. Stability and Creep under Complex Loading [in Russian], Tver State Technical University, Tver (2000).