A robust integration-algorithm for a finite-strain shape-memory-alloy superelastic model

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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): “…and Lexcellent, 1996; Bekker and Brinson, 1997; Raniecki and Lexcellent, 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;…”
Shape memory alloys, Part II: Modeling of polycrystals (2006, methodology): “It was further refined by Bekker and Brinson (1997, 1998). A thermodynamics based model of detwinning has been proposed by Leclercq and Lexcellent (1996), Lagoudas and Shu (1999) and Juhasz et al.”
Seismic Response Control Using Shape Memory Alloys: A Review (2011, background): “A large number of macroscopic models have been proposed to capture mechanical response of SMA due to their simplicity and relative accuracy (Boyd and Lagoudas, 1996; Liang and Rogers, 1990; Auricchio and Lubliner, 1997; Auricchio, 2001; Ikeda et al., 2004).”