The Constitutive Relation of Total Strain Theory Based on the Simple Experimental Data by the Application of Titanium Alloy

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The elastic-plasticity of the titanium alloy material has certain effect on the stability of the milling system. When the material is incompressible, the curve and the simple tensile curve are the same, and the material’s curve and the one-way shear’s curve are also the same. This may be called single curve theory. This paper is, under simple loading conditions, gets the data in the titanium alloy’s tensile experiment and torsion experiment. It studies the constitutive relation in the state of the multidimensional stress and the strain, by the material data obtained in the simple tensile experiment and torsion experiment according to the single curve theory. In the simple loading condition, it obtains the data of the titanium alloy’s tensile experiment and torsion experiment, and then gets the titanium alloy’s incremental constitutive relation, and by integration, it gets the constitutive relation of the titanium alloy’s total strain theory.

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308-311

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December 2012

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Hill R., Mathematical theory of plasticity, Oxford: University Press,(1950)

Google Scholar

[2] Kachanov L. M., Theory of plasticity, Moscow: Education Press,(1956)

Google Scholar

[3] Wang R., Xiong Z.H. and Huang W. B., Foundation of plasticity, Beijing: Science Press, 1987, In Chinese

Google Scholar

[4] Yu Maohong, He Linan, Song Lingyu. Twin shear stress theory and its generalization. Scientia Sinica (Science in China) SeriesA,(1985)

Google Scholar

[5] Liang Lifu, Zhou Ping, Feng Xiaojiu. Elasto-Plastic Constitutive Relation Under General Loading Law In Strain Space. Journal of Harbin Institute of Technology. 2009,02.

Google Scholar

[6] Chen W.F. and Mizuno E, Non-Linear analysis in soil mechanics, New York: Elsevier, (1990)

Google Scholar

[7] Huang Zhuping, Several Questions in Finite Deformation Plastic Constitutive Theory, Plastic Mechanics and Geodynamics Developments, International Academic Publishing, (2000)

Google Scholar

[8] Feng Xiaojiu, Liang Lifu, Deriving Plastic Constitutive Equations of the Material in Complex Stress State by Means of Simple Test Results, Emerging Systems for Materials, Mechanics and Manufacturing, Applied Mechanics and Materials, (2011)

DOI: 10.4028/www.scientific.net/amm.109.100

Google Scholar

[9] Feng Xiaojiu, Liang Lifu, Wang Siyuan, Study the non-linear heat-elasto-plastic constitutive relation, International Conference on Advances in Materials and Manufacturing Processes, (2011)

Google Scholar