A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite

By Peter Popov, Dimitris C. Lagoudas. 2007

234 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/22f754cf8626014adbe75f971cc8e50a790a2aa7

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In Materials Chemistry

Citations in the corpus

A review of constitutive models and modeling techniques for shape memory alloys (2016, methodology): “To address this issue, Popov and Lagoudas (2007) used (48) for direct transformation and adopted the following flow direction for reverse phase change: Ltrrev ¼ 3 2 εsat dev ðεÞ kdev ðεÞk ; (51) where εsat is the maximum uniaxial transformation strain.”
Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys (2009, methodology): “The reorientation of martensite in 3D systems has been captured [26, 27], and the methods of statistical thermodynamics have also been applied to SMA modeling [28].”
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 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings (2010, background): “…al., 2002; Helm and Haupt, 2003; Auricchio et al., 2003; Bouvet et al., 2004; Lagoudas and Entchev, 2004; Muller and Bruhns, 2006; Auricchio et al., 2007; Panico and Brinson, 2007; Popov and Lagoudas, 2007; Thiebaud et al., 2007; Reese and Christ, 2008; Moumni et al., 2008; Christ and Reese, 2009).”
A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions (2011, methodology): “This is in contrast to many recent alternative proposals as in (Popov and Lagoudas, 2007; Saint-Sulpice et al., 2009).”