Issue |
ESOMAT 2009
2009
|
|
---|---|---|
Article Number | 03012 | |
Number of page(s) | 6 | |
Section | Principles, Simulations, Materials: Mathematical Modelling | |
DOI | https://doi.org/10.1051/esomat/200903012 | |
Published online | 01 September 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.41 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.
jacop@correo.unam.mx
Published online: 1 September 2009
Abstract
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