Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape memory alloys

By Christian Lexcellent, A. Vivet, C. Bouvet, S. Calloch, Pascal Blanc. 2002

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A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions (2011, background): “It can be seen that the obtained surface in plane-stress subspace is very close to that obtained from a series of biaxial experiments conducted on CuAlBe SMA thin-walled tube specimens (Lexcellent et al., 2002), as shown in Fig.”
A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite (2007, methodology): “Further improvements in the accuracy of SMAs models were achieved by Raniecki and Lexcellent (1998); Qidwai and Lagoudas (2000b); Lexcellent et al. (2002), who proposed different transformation functions in order to capture the asymmetric response that SMAs exhibit in tension and compression.”
Shape memory alloys, Part II: Modeling of polycrystals (2006, methodology): “Further improvements in the accuracy of SMAs models was achieved by Raniecki and Lexcellent (1998), Qidwai and Lagoudas (2000b) and Lexcellent et al. (2002), who proposed different transformation functions in order to capture the asymmetric response that SMAs exhibit in tension and compression.”
Shape-Memory Alloys Handbook (2013, methodology): “[LEX 02], the initiation parameters are bi = −1.”