Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms

By M. Qidwai, Dimitris C. Lagoudas. 2000

321 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/2328526ac5f64e9345fefe3c71f552e631660f0a

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In Biomedical Engineering

In Materials Chemistry

Citations in the corpus

A review of constitutive models and modeling techniques for shape memory alloys (2016, methodology): “To analyze the behavior of thick walled SMA cylinders under internal pressure, Mirzaeifar et al. (2011) use the model of Qidwai and Lagoudas (2000b) who identified three main forms of the transformation functionbFðsÞ: The first form of bF used by Lagoudas et al. (1996) and Hartl and Lagoudas (2009)…”
Shape memory alloys, Part II: Modeling of polycrystals (2006, methodology): “…dissipation 1 J2 is the second deviatoric stress invariant defined as J 2 ¼ 12 devðrÞ : devðrÞ, J3 is the third deviatoric stress invariant defined as J3 = det( dev(r)) and I1 is the first stress variant, I1 = tr(r). are considered (Rajagopal and Srinivasa, 1998b; Qidwai and Lagoudas, 2000b).”
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).”
Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs (2004, methodology): “In a recent work Qidwai and Lagoudas (2000b) presented a general thermodynamic framework for phenomenological SMA constitutive models, which for different choice of the transformation function can be tuned to capture different effects of the martensitic phase transformation, such as pressure…”
Three-dimensional modeling and numerical analysis of rate-dependent irrecoverable deformation in shape memory alloys (2010, methodology): “Further, this convex cutting plane algorithm has been successfully implemented for the integration of the phase transformation evolution equations (Qidwai and Lagoudas, 2000).”
Aerospace applications of shape memory alloys (2007, methodology): “Finite element implementation of a 3-D SMA constitutive model [6] was used to model this system and it was shown that such activated strips are able to maintain a given surface configuration of an inflatable structure.”
A 3-D constitutive model for shape memory alloys incorporating pseudoelasticity and detwinning of self-accommodated martensite (2007, methodology): “To do this, an extension of the closest point projection algorithm of Qidwai and Lagoudas (2000a) is used.”