Open Access
Article Number 03012
Number of page(s) 6
Section Principles, Simulations, Materials: Mathematical Modelling
Published online 01 September 2009
ESOMAT 2009, 03012 (2009)
DOI: 10.1051/esomat/200903012

Mathematical analysis of experimental results in polycrystalline shape memory samples subject to a simple uniaxial tension test

J. Cortés-Pérez1, J. G. González R.2, J. Carrera B.3 and H. Flores Z.4

1  Centro Tecnológico Aragón, FES Argón, UNAM. Av. Rancho Seco s/n, Col. Impulsora, Cd. Nezahualcoyotl, Edo. de México, México, C. P. 57130.
2  Instituto de Investigaciones en Materiales, UNAM. México D. F. México.
3  Departamento de Mecánica, DEPFI, UNAM. México D. F. México
4  Centro de Investigaciones en Materiales Avanzados. SEP-Conacyt. Chihuahua, Chihuahua. México.

Published online: 1 September 2009

A set of experimental results reported in the literature was analysed by the application of a mathematical model developed previously. The experimental results analysed consist in a set of shape memory polycrystalline samples which was subject to simple uniaxial tension test. The crystalline orientation of several grains of the polycrystalline samples was measured and the variant formed was determined by the maximum Schmid factor criteria. Also the stress tensor was measure by the application of X-ray diffraction in situ technique. The information of the experimental study was employed for simulated the material behavior by the application of a mathematical procedure previously developed. A full analysis of the same experimental results was done and compared with them. The analysis procedure consists in generate for the 24 martensite variants: a) the distortion on the sample surface, b) the displacement field and c) The distortion of a mark on the sample's surface. Also the plane stress stated transformational diagram was employed to stress state analysis. The theoretical analysis shown a total characterization of the material behavior and therefore several important features during the stress induced martensite transformation as the identification of the variants formed in each grain with good agreement and the possibility of the apparition of other tensor stress components. Also, the simulation would be useful for the strain compatibility problem.

Note to the reader:
On page 03012-p2 several mistakes have been corrected on October 19, 2009.

© Owned by the authors, published by EDP Sciences 2009