Theoretical Deduction of Constitutive Equations with Variational Parameters during Superplastic Tension

Abstract:

In this article, firstly, the strain hardening index and the strain rate sensitivity index were deducted from the general state equation and the mechanical meaning of the two indexes were correspondingly depicted, and then constitutive equations, where both/either of the two indexes appear as constants, were theoretically deducted from the same state equation. Secondly, constitutive equations where both/either of the two indexes present as variables were put forward by numerical simulation. Next, constitutive equations were built, where mechanical variables are replaced by test data obtained on an electronic universal tensile tester with the capacity to carry out a true constant strain rate path. Finally, based on the test data of Zn-5%Al during superplastic tension, it is proved that the theoretical results in this article are valid.

• Periodical: Advanced Materials Research (Volumes 941-944)
• Pages: 1509-1512
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.941-944.1509
• Online since: June 2014
• Authors: Zhi Ping Guan, Xiao Fang Guan, Yu Quan Song*
• Keywords: Constitutive Equation, Strain Hardening Index, Strain Rate Sensitivity Index, Superplasticity, Tension

References

[1] J.H. Hollomon: T. ASM Vol. 32(1944), pp.123-133.

[2] W.A. Backoken, T.I. Turner and D.H. Avery: Trans. ASM Quart. Vol. 57(1964), pp.980-990.

[3] C. Rossard: Rev. Met. Vol. 63(, 1966), pp.225-231.

[4] Y.Q. Song, Z.P. Guan, P.K. Ma and J.W. Song: Acta Metall. Sin. Vol. 42(2006), pp.673-680. (In Chinese).

[5] Y.Q. Song, Z.P. Guan, Z.G. Li and M.H. Wang: Sci. China Ser. E Vol. 50(2007), pp.714-735.

[6] Y.Q. Song, Y.C. Cheng, Chinese patent, ZL 00 1 17802. 4. (2000).

[7] Y.Q. Song, Y.C. Cheng, L. Hou: Chin. Mech. Eng. Vol. 10(1999), pp.782-784. (In Chinese).