Micromechanical Mean-Field Analysis for Stress-Strain Curve of Lotus-Type Porous Iron


Article Preview

We studied the plastic behavior of lotus-type porous iron with unidirectional long cylindrical pores. Lotus-type porous iron with different porosities was fabricated by the continuous zone melting method in a pressurized hydrogen and helium atmosphere. To calculate the stress-strain curves for lotus iron, we applied a modified Qiu-Weng’s micromechanical mean-field theory that has recently been proposed by the present authors [J. Mater. Res., in press], and compared the results with those of compression tests. We experimentally found that the deformation resistance and work hardening rate depend on the sample porosity and loading direction. They decrease with an increase in porosity, and their values in the loading along the direction perpendicular to the longitudinal axis of pores are smaller than those in the parallel-direction loading. Our micromechanical calculations reproduce well the stress-strain curves experimentally obtained and express the experimental trends successfully.



Materials Science Forum (Volumes 486-487)

Edited by:

Hyung Sun Kim, Sang-Yeop Park, Bo Young Hur and Soo Wohn Lee




M. Tane et al., "Micromechanical Mean-Field Analysis for Stress-Strain Curve of Lotus-Type Porous Iron", Materials Science Forum, Vols. 486-487, pp. 489-492, 2005

Online since:

June 2005




[1] H. Nakajima, S.K. Hyun, K. Ohashi, K. Ota and K. Murakami: Colloids Surfaces A Vol. 179 (2001), pp.209-214.

[2] M. Tane, T. Ichitsubo, S.K. Hyun, H. Nakajima and M. Hirao: Acta Mater. Vol. 52 (2004), pp.5195-5201.

[3] L.J. Gibson and M.F. Ashby: Cellular Solids, 2nd ed. (Cambridge University Press, UK 1997).

[4] Y.P. Qiu and G.J. Weng: J. Appl. Mech. -Trans. ASME Vol. 59 (1992), pp.261-268.

[5] T. Mori and K. Tanaka: Acta Metall. Vol. 21 (1973), pp.571-574.

[6] J.D. Eshelby: Proc. Roy. Soc. London Vol. A241 (1957), pp.376-396.

[7] M. Tane, T. Ichitsubo, S. K Hyun and H. Nakajima: J. Mater. Res., in press.

[8] H. Nakajima, T. Ikeda and S.K. Hyun: Adv. Eng. Mater. Vol. 6 (2004), pp.377-384.

[9] M.L. Dunn and H. Ledbetter: Acta Mater. Vol. 45 (1997), pp.3327-3340.

[10] Y. Benveniste: Mech. Mater. Vol. 6 (1987), pp.147-157.

[11] T. Ichitsubo, M. Tane, H. Ogi, M. Hirao, T. Ikeda and H. Nakajima: Acta Mater. Vol. 50 (2002), pp.4105-4115.

DOI: https://doi.org/10.1016/s1359-6454(02)00228-8

[12] R. Hill: Proc. Phys. Soc. London Vol. A65 (1952), pp.349-354.

[13] G. Simmons and H. Wang: Single Crystal Elastic Constants and Calculated Aggregate Properties: A HANDBOOK. 2nd ed. (The M.I.T. Press, Cambridge 1971). 0. 200. 150. 100. 050. 00 True strain, ε 1: p=0 2: p=0. 246 3: p=0. 483 (b) ⊥ to pore 1 2 3 R=1 R=2 R=8 500 400 300 200 100 0 True stress, σ (MPa) 0. 200. 150. 100. 050. 00 True strain, ε 1: p=0 2: p=0. 236 3: p=0. 476 (a) / to pore 1 2 3.