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

Abstract

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.

Development of a stress-induced martensitic transformation criterion for a Cu–Al–Be polycrystalline shape memory alloy undergoing uniaxial tension

“…The SF for the 24 MVs of each grain reported by Kaouache et al [27] was recalculated. We used the following crystallographic orientations to obtain the same MVs reported by Kaouache et al [27] for grain C-SN (À0.84, À0.13, À0.52) and RD [0.27, À0.94, À0.16]-according to the method of Cortés-Pérez et al [35].…”