Description of reversible strain caused by martensite transformations within the framework of the synthesis model
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Abstract
This article examines the development of a mathematical model of plasticity based on a synthesis of the concepts of slip and flow to describe reversible nonlinear deformation caused by martensite transformations. The microstructural laws governing these phenomena are described using certain elements of the structural-analytical concept of strength. The determining relations obtained for the model permit exact calculation of the parameters of the phase reaction (the stress associated with the beginning of the reaction, the region of coordinate space within which the transformation takes place) and ultimately make it possible to describe the strain behavior of a material subjected to arbitrary proportional loading. Use of the model to describe phenomena related to superplasticity, strain accumulation, and recovery is examined. The strain-strain curves of the test materials during loading and unloading correspond qualitatively to the experimental data and agree with well-known results obtained earlier within the framework of the structural-analytical model.
Keywords
Experimental Data Mathematical Model Martensite Martensite Transformation Test MaterialPreview
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References
- 1.Ya. F. Andrusik and K. N. Rusinko, “Plastic deformation of strain-hardening materials during loading in a three-dimensional subspace of five-dimensional deviator space,” Mekh. Tverd. Tela, No. 2, 92–101 (1993).Google Scholar
- 2.K. N. Rusinko and Ya. F. Andrusik, “Study of die range of application of the strain theory of plasticity on the basis of the synthesis theory of flow and slip,” Predicting the Mechanical Behavior of Materials: Transactions of the XXV All-Union Seminar “Important Problems of Strength. B. I., Novgorod, Vol. 2, pp. 74–78.Google Scholar
- 3.S. B. Batdorf and B. V. Budyanskii, “Mathematical theory of plasticity based on the concept of slip,” Mekhanika, No. 1, 135–155 (1962).Google Scholar
- 4.A. A. Il'yushin, Theory of Plasticity [in Russian], Moscow (1963).Google Scholar
- 5.V. A. Likhachev and V. G. Malinin, Structural-Analytical Theory of Strength [in Russian], Nauka, St. Petersburg (1993).Google Scholar
- 6.J. Perkins, “Shape memory effects associated with strain reversible martensitic deformation: correlation of structural features and mechanical behavior,” in: Martensite Transformations [in Russian], Naukova Dumka, Kiev (1978), pp. 160–165.Google Scholar
- 7.V. S. Boiko, R. I. Garber, and A. M. Kosevich, Reversible Plasticity of Crystals [in Russian], Nauka, Moscow (1991).Google Scholar
- 8.Shape Memory Effect in Alloys [in Russian], Metallurgiya, Moscow (1979).Google Scholar
- 9.L. G. Khandros, “Nature of superelasticity and shape memory effects,” in: Martensite Transformations [in Russian], Naukova Dumka, Kiev (1978), pp. 146–150.Google Scholar
- 10.V. A. Likhachev, S. L. Kuz'min, and Z. P. Kamentseva, Shape Memory Effect [in Russian], Izd-vo Leningrd. Unta, Leningrad (1987).Google Scholar