Nonlinear Elastic Deformation of MAX Phases


Article Preview

MAX phases, include Ti3SiC2, Ti2AlC etc, are machinable ternary carbides or nitrides with excellent properties. These materials, however, have obvious nonlinear elastic deformation due to nano- layered crystal structure. The stress-strain curves of cyclically load-unload test have obvious hysteretic loops. Because of this mechanical hysteresis, the strain of MAX phases at one time is not determined only by the stress applied to the sample at this time. Here the influence of grain size, chemical composition and porosity on the nonlinear elastic strain was introduced. Because of two properties of this hysteresis: wiping out and congruency, the classic hysteretic mathematic model (Preisach-Mayergoyz model, P-M model) can be applied to calculate the strain of MAX phases after any complex deformation history.



Key Engineering Materials (Volumes 434-435)

Edited by:

Wei Pan and Jianghong Gong




A. G. Zhou and M.W. Barsoum, "Nonlinear Elastic Deformation of MAX Phases", Key Engineering Materials, Vols. 434-435, pp. 149-153, 2010

Online since:

March 2010




[1] M.W. Barsoum, M. Ali and T. El-Raghy: Met. Mat. Trans. A Vol. 31A (2000), p.1857.

[2] M.W. Barsoum, D. Brodkin and T. El-Raghy: Scri. Mater. Vol. 36 (1997), p.535.

[3] M.W. Barsoum and T. El-Raghy: J. Amer. Cer. Soc. Vol. 79 (1996), p. (1953).

[4] W. Tian, Z. Sun, H. Hashimoto, et al.: J. Mater. Sci. Vol. 44 (2009), p.102.

[5] N.A. Phatak, S.K. Saxena, Y. Fei, et al.: J. All. Comp. Vol. 475 (2009), p.629.

[6] O. Wilhelmsson, P. Eklund, F. Giuliani, et al.: App. Phys. Lett. Vol. 91 (2007), p.123124.

[7] Y.C. Zhou, J.X. Chen and J.Y. Wang: Acta Mater. Vol. 54 (2006), p.1317.

[8] P. Finkel, M.W. Barsoum and T. El-Raghy: J. App. Phys. Vol. 85 (1999), p.7123.

[9] M.W. Barsoum, T. Zhen, S.R. Kalidindi, et al.: Nature Mater. Vol. 2 (2003), p.107.

[10] S. Amini, A. Zhou, S. Gupta, et al.: J. Mater. Res. Vol. 23 (2008), p.2157.

[11] A.G. Zhou, M.W. Barsoum, S. Basu, et al.: Acta Mat. Vol. 54 (2006), p.1631.

[12] M.W. Barsoum, T. Zhen, A. Zhou, et al.: Phys. Rev. B. Vol. 71 (2005), p.134101.

[13] R.A. Guyer, J. TenCate and P. Johnson: Phys. Rev. Lett. Vol. 82 (1999), p.3280.

[14] R.A. Guyer and P.A. Johnson: Phys. Today Vol. 52 (1999), p.30.

[15] I.D. Mayergoyz: Phys. Rev. Lett. Vol. 56 (1986), p.1518.

[16] F. Preisach: Zeitschrift fur Physik Vol. 94 (1935), p.277.

Fetching data from Crossref.
This may take some time to load.