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Modeling of processes of complex plastic deformation of materials along arbitrary temperature and force loading paths

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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.

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References

  1. V. P. Degtyarev, Plasticity and Creep of Engineering Structures (Mashinostroenie, Moscow, 1967) [in Russian].

    Google Scholar 

  2. A. M. Zhukov, “Several Characteristics of Metal Behavior under Elastoplastic Strain,” in Problems of Plasticity Theory (AN SSSR, Moscow, 1961), pp. 30–57.

    Google Scholar 

  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).

    Google Scholar 

  5. V. G. Zubchaninov, N. L. Okhlopkov, and V. V. Garannikov, Experimental Plasticity, Vol. 1, Complex Strain Processes (TGTU, Tver, 2003) [in Russian].

    Google Scholar 

  6. V. G. Zubchaninov, N. L. Okhlopkov, and V. V. Garannikov, Experimental Plasticity, Vol. 2, Complex Loading Processes (TGTU, Tver, 2004) [in Russian].

    Google Scholar 

  7. A. A. Zavokhaiko and N. S. Mozharovskii, “On Strength and Plasticity Characteristics for Complicated Stress Trajectories,” Probl. Prochn., 90–93 (1992).

  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].

    Google Scholar 

  9. G. A. Makovkin, “Comparative Analysis of Nonproportionality Parameters for Complex Elastoplastic Strain,” in Vestnik Nizhegorod. Univ. (NNGU, N. Novgorod, 1999), pp. 30–36.

    Google Scholar 

  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].

    Google Scholar 

  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].

    Google Scholar 

  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)].

    Google Scholar 

  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).

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Authors and Affiliations

  1. Volga State Academy of Water Transport, Nesterova 5, Nizhnii Novgorod, 603005, Russia

    I. A. Volkov & Yu. G. Korotkikh

Authors
  1. I. A. Volkov
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  2. Yu. G. Korotkikh
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Correspondence to I. A. Volkov.

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Original Russian Text © I. A. Volkov, Yu. G. Korotkikh, 2007, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2007, No. 6, pp. 69–83.

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Volkov, I.A., Korotkikh, Y.G. Modeling of processes of complex plastic deformation of materials along arbitrary temperature and force loading paths. Mech. Solids 42, 897–909 (2007). https://doi.org/10.3103/S0025654407060076

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  • DOI: https://doi.org/10.3103/S0025654407060076

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