Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings

Sedlák, Petr; Frost, Miroslav; Benešová, Barbora; Zineb, Tarak Ben; Šittner, Petr

doi:10.1016/j.ijplas.2012.06.008

Cited by 168 publications

(139 citation statements)

References 52 publications

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“…The function f, originally proposed by Sedlak et al [25], scales the uniaxial compressive transformation strain to its tensile counterpart. In several prior works, the introduction of tension/compression asymmetry is accomplished via the construction of the shape of the transformation surface e.g., [9,10,15,[26][27][28][29].…”

Section: Model Fitting To a Materialsmentioning

confidence: 99%

A Constitutive Model for Isothermal Pseudoelasticity Coupled with Plasticity

Jiang

Landis

2016

Shap. Mem. Superelasticity

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In this paper, a new constitutive model for isothermal pseudoelastic shape memory alloys is presented. The model is based upon a kinematic hardening framework that was previously developed for ferroelastic and ferroelectric switching behavior. The basis of the model includes a transformation surface, an associated flow rule for transformation strain, and kinematic hardening with the back stresses represented by a transformation potential that is dependent upon the transformation strain. In contrast to many models that introduce tension/compression asymmetry by devising transformation surfaces in terms of invariants of the stress tensor, this model achieves this capability by means of expressing the transformation potential from which the back stresses are derived as a weighted mix of two potentials that are, respectively, calibrated to measured tensile and compressive responses. Additionally, in this model, plastic deformation is allowed to occur at high stresses by employing a standard J 2 -based yield surface with isotropic hardening. Finally, to demonstrate the ability of the constitutive model to perform in highly non-proportional loading states, some finite element simulations on crack tip fields are presented.

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Section: Model Fitting To a Materialsmentioning

confidence: 99%

A Constitutive Model for Isothermal Pseudoelasticity Coupled with Plasticity

Jiang

Landis

2016

Shap. Mem. Superelasticity

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“…There is an abundance of constitutive models of SMAs in the literature, originating at dierent scales of description and simplication, see reviews [11,12] [13]. So far, the model was extensively tested on simulations of thermomechanical response of products manufactured from NiTi SMA wires [14,15].…”

Section: Proceedings Of the International Symposium On Physics Of Matmentioning

confidence: 99%

“…More details on assumptions leading to this form can be found in [13]. The rate-independent dissipation function, which is directly related to so-called transformation domain common in phenomenological plasticity-inspired SMA models, takes the following form: …”

Section: Materials and Experimentsmentioning

confidence: 99%

Characterization of Superelastic NiTi Alloys by Nanoindentation: Experiments and Simulations

et al. 2015

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NiTi-based shape memory alloys are metallic materials exhibiting remarkable response to mechanical and/or thermal loading, e.g. superelasticity, pseudoplasticity or one-way shape memory eect. They can be engineered into structures of micro-size dimensions, hence, they appear promising for application in micro-electromechanical systems. For their ecient utilization, appropriate characterization is important. Due to relative simplicity, indentation represents a very standard and popular technique for basic characterization of metallic materials providing information about stiness and hardness. Moreover, it can be used for identication of other events in the material. This study aims to verify applicability of the recently developed constitutive model for NiTi-based shape memory alloy in simulations of nanoindentation tests. The model is tted to a particular sample material using experimental data, and a series of simulations mimicking tests at various temperatures is performed. Since the model also captures two-stage martensitic transformation via the intermediate R-phase, its inuence on the simulations is investigated as well. It is conrmed that spherical indentation is a suitable method for simple and fast detection whether the material is in superelastic or pseudoplastic regime.

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“…The eect of orientation has also been investigated in recent works (Ameduri et al, 2015;Sedlák et al, 2012;Saleeb et al, 2011;Saint-Sulpice et al, 2009). These models add the feature of simulating three-dimensional loading paths to previous simpler models (Boyd and Lagoudas, 1994;Brinson, 1993;Saleeb et al, 2001).…”

Section: Introductionmentioning

confidence: 99%

“…The choice of this function determines which eects relative to anisotropy and asymmetry during forward transformation are taken in mind (Qidwai and Lagoudas, 2000;Sedlák et al, 2012;Taillard et al, 2008). In the scope of this paper, a modied Prager function is chosen.…”

mentioning

confidence: 99%

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

Chatziathanasiou

Chemisky

Chatzigeorgiou

et al. 2016

International Journal of Plasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractIn the present study, a new 3D thermodynamic coupled model is proposed for SMAs.The behavior of SMA structures is described through several strain mechanisms, each associated with its proper internal variables. This model is built to capture the particular behavior of SMAs when subjected to complex loading, namely non-proportional thermomechanical loading. To achieve this task, a new approach to describe the martensitic reorientation mechanism has been introduced in conjuction with a new method to account for forward and reverse transformation. Thermomechanical coupling, related to dissipation and latent heat is fully implemented. The validity of the model is demonstrated by comparing experimental results of complex thermomechanical loading paths of SMA structures with numerical simulations.

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Thermomechanical model for NiTi-based shape memory alloys including R-phase and material anisotropy under multi-axial loadings

Cited by 168 publications

References 52 publications

A Constitutive Model for Isothermal Pseudoelasticity Coupled with Plasticity

A Constitutive Model for Isothermal Pseudoelasticity Coupled with Plasticity

Characterization of Superelastic NiTi Alloys by Nanoindentation: Experiments and Simulations

Modeling of coupled phase transformation and reorientation in shape memory alloys under non-proportional thermomechanical loading

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