Study the Non-Linear Heat-Elasto-Plastic Constitutive Relation

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Abstract:

This paper adopts Macroscopic Phenomenological Method to establish constitutive relation. In order to maintain better approximation, it adopts testing data of typical stress path, testing data of uniaxial tension and torsion test. Applying multidimensional incremental theory under general loading law, on the base of certain loading function of stress space and loading function of strain space, this essay drives heat-elasto-plastic constitutive relation of heated isotropic hardening material under the condition of elasto-plastic decoupling. Meanwhile, this constitutive relation also suits for kinematic hardening material and elastic-perfectly plastic material. This paper builds a means of driving constitutive relation of multidimensional incremental theory under general loading law in strain space.

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Periodical:

Advanced Materials Research (Volumes 415-417)

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2130-2133

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December 2011

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© 2012 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] Truesdell C. and Hilda G, Mechanics of solids, Vol.3, New York: Springer-Verlag, (1984)

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] Fan Jinghong, Intrinsic Time Elasto-plastic Constitutive Equation and its Experimental Verification Under Non-uniform Strain Field Conditions, Chinese Journal of Theoretical and Applied Mechanics, (1986)

Google Scholar

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

Google Scholar

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

Google Scholar

[8] Wang R., Huang W. B., Huang Z.P., Introduction of plasticity, Beijing: University Press, 1992, In Chinese

Google Scholar

[9] Yang Zichun, Huang Yuying, Finite Element Analysis in Elasto-plastic Stress Field of Water Steam Header of Marine Boiler, Ship Building of China, 1995, In Chinese

Google Scholar

[10] Liang Lifu, A Short-Cut Method of Derivation of Elasto-Plastic Constitutive Relation in Geotechnics, Strength Theory, Beijing and New York.: Science Press,(1998)

Google Scholar

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

Google Scholar

[12] Liang Lifu, Liu Shiquan, Elasto-Plastic Constitutive Relation Under General Loading Law, Acta Mechanica Solida Sinica, (2001)

Google Scholar