Finite deformation pseudo-elasticity of shape memory alloys – Constitutive modelling and finite element implementation

By Stefanie Reese, D. Christ. 2008

180 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/31d1c950ff4c71149b78a354a59dd8db95988940

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In Materials Chemistry

Citations in the corpus

Closed‐form matrix exponential and its application in finite‐strain plasticity (2014, background): “The exponential map integrators allow also a consistent treatment of volume changes in the finite deformation regime, for instance, in models of ductile damage [9], martensitic transformation in shape memory alloys [10, 11], and others.”
Constitutive modeling and structural analysis considering simultaneous phase transformation and plastic yield in shape memory alloys (2009, background): “Further, linear FEA implementations of infinitesimal strain models result in non-physical solutions if large rotations exist, such as the homogeneous expansion of elements in the plane of rotation (for example, see [47], section 9.”
A finite strain kinematic hardening constitutive model based on Hencky strain: General framework, solution algorithm and application to shape memory alloys (2011, methodology): “12 It has been defined in several works (Arghavani et al., 2010d; Reese and Christ, 2008; Christ and Reese, 2009; Helm and Haupt, 2003; Evangelista et al., 2009) as z ¼ kE ink eL , where eL is a material parameter related to the maximum transformation strain.”
A robust model of pseudoelasticity in shape memory alloys (2013, unknown): “In other finitestrain models [15, 18, 19, 20, 21], an analogous constraint is imposed on the Green strain tensor, ‖E‖ ≤ εL, while the incompressibility constraint must be enforced separately.”
A review of constitutive models and modeling techniques for shape memory alloys (2016, methodology): “Finite deformation and geometric non-linearity Constitutive models for SMAs with finite strain formulation (FSF) are needed to accurately simulate large structural rotations (Reese and Christ, 2008) and distortions (Ziolkowski, 2007).”
A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings (2010, methodology): “(27) which is more consistent with different papers in the literature, such as Souza et al. (1998), Auricchio and Petrini (2002), and Panico and Brinson (2007).”