A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems

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A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys (2011, background): “…1998; Souza et al., 1998; Qidwai and Lagoudas, 2000; Helm and Haupt, 2003; Auricchio et al., 2003; Bouvet et al., 2004; Lagoudas and Entchev, 2004; Auricchio et al., 2007; Popov and Lagoudas, 2007; Panico and Brinson, 2007; Thiebaud et al., 2007; Moumni et al., 2008; Arghavani et al., 2010c).”
A review of constitutive models and modeling techniques for shape memory alloys (2016, methodology): “…in the pseudoelastic range, the expressions of the phase transformation function for the different models can be written as follows: For the model of Auricchio and Petrini (2004), F trx ¼ s b〈T Mf 〉þ hxεL scrittr ; (89) For the model of Boyd and Lagoudas (1996), F trx ¼ ( sεL r2bM x m p 1 þ m…”
A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity (2007, methodology): “With respect to the existing model considered as a starting point (i.e. Souza et al., 1998; Auricchio and Petrini, 2004a), this new one is able to describe SMA macroscopic behaviours taking into account also permanent inelasticity effects.”