A three-dimensional constitutive model for the martensitic transformation in polycrystalline shape memory alloys under large deformation

Xu, Lei; Baxevanis, Theocharis; Lagoudas, Dimitris C.

doi:10.1088/1361-665x/ab1acb

Cited by 42 publications

(24 citation statements)

References 75 publications

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“…However, the underlying microscale physical mechanisms of SMA behavior are not reflected in macroscale phenomenological constitutive models. Representative macroscopic SMA models include Auricchio et al (2007), Lagoudas et al (2012), Panico and Brinson (2007), Zaki and Moumni (2007), Arghavani et al (2010), and Xu et al (2019).…”

Section: Introductionmentioning

confidence: 99%

On the effect of detwinning-induced plasticity in compressive cyclic loading of NiTi shape memory alloys

Ebrahimi

Arghavani

Naghdabadi

et al. 2020

Mechanics of Materials

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A new inelastic mechanism, detwinning-induced plasticity (DIP), is proposed to model the response of NiTi SMAs to cyclic loading, based on thermodynamic considerations. DIP is incorporated into a constitutive framework for NiTi SMA. The constitutive framework also includes well-established inelastic mechanisms of phase transformation, transformation-induced plasticity, residual martensite, and detwinning. The model is constructed at the single crystal scale using the framework of thermodynamics and a crystal plasticity formulation. An explicit scale-transition rule is adopted for the simulation of polycrystalline materials, allowing direct comparison of the model predictions with published experimental test data. Thermodynamic considerations result in a strong contribution of DIP for cyclic loading regimes where compressive stress occurs during part of the loading cycle. However, the contribution of DIP is negligible for cyclic loading regimes that result exclusively in tensile stress. This predicted dependence of DIP on compression, but not on tension, is strongly supported by experimental cyclic loading results. Inclusion of DIP results in improved prediction of experimentally observed NiTi SMAs behavior, including strain-controlled cyclic compression-unloading and cyclic tension-unloading tests and stress-controlled cyclic tension-compression and tension-unloading tests. During the first loading cycle the contribution of DIP is not significant in any loading regimes. However, in cases where compressive stress occurs during part of the loading cycle, DIP contributes strongly to the material response from the second cycle onwards. In strain-controlled cyclic compression-unloading tests DIP leads to a less negative peak stress and a more negative residual strain following several loading cycles. In stress-controlled tension-compression cyclic loading DIP leads to a reduction of peak and residual strains.

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Section: Introductionmentioning

confidence: 99%

On the effect of detwinning-induced plasticity in compressive cyclic loading of NiTi shape memory alloys

Ebrahimi

Arghavani

Naghdabadi

et al. 2020

Mechanics of Materials

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“…There has been a lot of constitutive modeling efforts been made during recent decades to predict the intrinsic material response of SMAs, a through review can be found from elsewhere. [24][25][26][27] As the motivation of this research is to facilitate the development of a phenomenological model that is able to capture the tensioncompression asymmetry and TRIP during cyclic thermo-mechanical actuation loading, the results obtained from previously performed tension/compression and bending experiments are used for the formulation and validation of the SMA constitutive model capturing the anisotropic phase transformation characteristics. In order to achieve the desired modeling capability, modifications on the transformation functions are needed.…”

Section: Simulation Resultsmentioning

confidence: 99%

Phase Transformation Characteristics of High-Temperature Shape Memory Alloy under Tension, Compression, and Bending Actuation Cycling

Martin

Lagoudas

2020

AIAA Scitech 2020 Forum

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Shape Memory Alloys (SMAs) are a unique class of intermetallic alloys that can cyclically sustain large deformations and recover a designed geometry through a solid-to-solid phase transformation. SMAs provide favorable actuation energy density properties, making them suitable for engineering applications requiring a significant, repeated, work output. To facilitate the development and validation of an SMA constitutive model considering the evolving anisotropic material response for High-Temperature SMA (HTSMA), uniaxial and pure bending actuation cycling tests on HTSMA specimens are performed by a custom-built testing frames. The phase transformation characteristics for Ni50.3TiHf20 HTSMA under uniaxial tension/compression and four-point bending actuation cycles are investigated. The experimental results show that the polycrystalline HTSMAs has a strong tension-compression asymmetry under uniaxial actuation cycling loading conditions. Furthermore, the four-point beam bending test shows that there is an intrinsic phenomenon when HTSMAs are subjected to cyclic actuation bending conditions, i.e., the zero-strain neutral axis shifts as a result of the asymmetric tension-compression phase transformations and the asymmetric generation of TRIP strains on different sides of the beam. The conducted experiments provide invaluable information to develop and improve the SMA constitutive model considering tension-compression asymmetry and TRIP strain generation within a unified modeling effort. As future work, additional experiments on other HTSMA components, such as torque tubes and specimens with notches or cutouts, under actuation cycling would provide more comprehensive validation data and component performance for HTSMA-based actuators.

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“…It is worthy to point out that the input variables used for this implementation collected from the global finite element solver are the temperatures (T n , T n+1 ), and deformation gradients at the current and next step (F n , F n+1 ). As it was discussed in the work of Xu et al (2019a), such non-trivial considerations on the kinematics allow for the implementation of the model to get rid of the accumulated stress errors as a result of using other non-integrable objective rates. The effects of such accumulated stress errors on the cyclic thermomechanical response of SMAs are analyzed in detail from Xu et al (2019a).…”

Section: Methodsmentioning

confidence: 99%

“…As it was discussed in the work of Xu et al (2019a), such non-trivial considerations on the kinematics allow for the implementation of the model to get rid of the accumulated stress errors as a result of using other non-integrable objective rates. The effects of such accumulated stress errors on the cyclic thermomechanical response of SMAs are analyzed in detail from Xu et al (2019a).…”

Section: Methodsmentioning

confidence: 99%

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Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect

Σολωμού

Baxevanis

et al. 2021

International Journal of Solids and Structures

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This work presents a three-dimensional constitutive model for shape memory alloys considering the TRansformation-Induced Plasticity (TRIP) as well as the Two-Way Shape Memory Effect (TWSME) through a large deformation framework. The presented logarithmic strain based model is able to capture the large strains and rotations exhibited by SMAs under general thermomechanical cycling. By using the martensitic volume fraction, transformation strain, internal stress, and TRIP strain tensors as internal state variables, the model is capable to capture the stress-dependent TRIP generation when SMAs are subjected to a multiaxial stress state, as well as the TWSME for thermomechanically trained SMAs under load-free conditions. A detailed implementation procedure of the proposed model is presented through a user-defined material subroutine within a finite element framework allowing for solving different Boundary Value Problems (BVPs). Comprehensive instruction on calibrating the model parameters as well as the derivation of continuum tangent stiffness matrix are also provided. In the end, the simulated cyclic pseudoelastic and actuation responses by the presented model for a wide range of SMA material systems under both uniaxial and multiaxial stress states are compared against experimental results to validate the proposed modeling capabilities.

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A three-dimensional constitutive model for the martensitic transformation in polycrystalline shape memory alloys under large deformation

Cited by 42 publications

References 75 publications

On the effect of detwinning-induced plasticity in compressive cyclic loading of NiTi shape memory alloys

On the effect of detwinning-induced plasticity in compressive cyclic loading of NiTi shape memory alloys

Phase Transformation Characteristics of High-Temperature Shape Memory Alloy under Tension, Compression, and Bending Actuation Cycling

Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect

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