Constitutive modeling and finite element approximation of B2-R-B19′ phase transformations in Nitinol polycrystals

Sengupta, Arkaprabha; Papadopoulos, Panayiotis

doi:10.1016/j.cma.2009.06.004

Cited by 12 publications

(6 citation statements)

References 21 publications

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“…Compared to the first principles calculation, [25][26][27][28][29][30][31][32] it enables an efficient exploration of twinned microstructures, and can be further utilized to study their spatial-temporal evolution and associated phenomena of plasticity and fracture at the atomic scale. Considering the complexity of martensite microstructures, as well as a large range of time and length scales involved in the martensitic transformation processes, the empirical potential-based atomistic modeling approach developed is expected to play an important role in bridging experiments, continuum models, [33][34][35][36][37][38][39][40][41][42][43][44] and ab initio calculations for understanding the transformation mechanisms in shape memory alloys.…”

Section: Introductionmentioning

confidence: 99%

Atomistic study of nanotwins in NiTi shape memory alloys

Zhong

Gall

Zhu

2011

Journal of Applied Physics

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Atomistic simulations are performed to study the structure and geometrical limit of nanoscale twins in NiTi shape memory alloys. We analyze compound twins as narrow as $1 nm, involving a few atomic layers. A novel nanotwinned structure is found, forming through the martensitic transformation of sublattices. We predict the temperatures of phase transformation, which are consistent with experimental measurements. The results provide an atomistic basis for further study of nanometer length scale effects on the martensitic phase transformation and shape memory behavior. V

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Section: Introductionmentioning

confidence: 99%

Atomistic study of nanotwins in NiTi shape memory alloys

Zhong

Gall

Zhu

2011

Journal of Applied Physics

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“…This causes a reduction in free energy, and therefore, the nucleation of martensite phase usually requires a higher driving force than the subsequent propagation of the austenite-martensite interface. The size and shape of a martensite nucleus is governed by this free energy reduction [ 60 , 63 ]. This could also explain the rapid change in modulus values (0.7 to 0.9 MVF) noted in the stress–strain curves.…”

Section: Discussionmentioning

confidence: 99%

“… Scatter plot showing elastic modulus of the martensite and austenite phases plotted with the Ni content, from past published sources [ 1 , 34 , 36 , 38 , 40 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 ]. …”

Section: Figurementioning

confidence: 99%

Influence of Structural Porosity and Martensite Evolution on Mechanical Characteristics of Nitinol via In-Silico Finite Element Approach

et al. 2022

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Nitinol (NiTi) alloys are gaining extensive attention due to their excellent mechanical, superelasticity, and biocompatibility properties. It is difficult to model the complex mechanical behavior of NiTi alloys due to the solid-state diffusionless phase transformations, and the differing elasticity and plasticity presenting from these two phases. In this work, an Auricchio finite element (FE) model was used to model the mechanical behavior of superelastic NiTi and was validated with experimental data from literature. A Representative Volume Element (RVE) was used to simulate the NiTi microstructure, and a microscale study was performed to understand how the evolution of martensite phase from austenite affects the response of the material upon loading. Laser Powder Bed Fusion (L-PBF) is an effective way to build complex NiTi components. Porosity being one of the major defects in Laser Powder Bed Fusion (L-PBF) processes, the model was used to correlate the macroscale effect of porosity (1.4–83.4%) with structural stiffness, dissipated energy during phase transformations, and damping properties. The results collectively summarize the effectiveness of the Auricchio model and show that this model can aid engineers to plan NiTi processing and operational parameters, for example for heat pump, medical implant, actuator, and shock absorption applications.

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“…The only deviation of the models from the experiments is the part of the forward transformation, where the formation of R-phase and its subsequent transformation to martensite may be taking place and which is not modeled here. An explicit account of R-phase in the model entails significant added complexity due to the dependence of the rhombohedral angle on temperature, see an earlier effort for the isothermal case [24]. Further, Fig.…”

Section: Thermomechanical Experiments and Simulations On Thin-walled mentioning

confidence: 96%

On phase transformation models for thermo-mechanically coupled response of Nitinol

Sengupta

Papadopoulos

Kueck³

et al. 2011

Comput Mech

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Fully coupled thermomechanical models for Nitinol at the grain level are developed in this work to capture the inter-dependence between deformation and temperature under non-isothermal conditions. The martensite transformation equations are solved using a novel algorithm which imposes all relevant constraints on the volume fractions. The numerical implementation of the resulting models within the finite element method is effected by the monolithic solution of the momentum and energy equations. Validation of the models is achieved by means of thin-tube experiments at different strain rates.

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Constitutive modeling and finite element approximation of B2-R-B19′ phase transformations in Nitinol polycrystals

Cited by 12 publications

References 21 publications

Atomistic study of nanotwins in NiTi shape memory alloys

Atomistic study of nanotwins in NiTi shape memory alloys

Influence of Structural Porosity and Martensite Evolution on Mechanical Characteristics of Nitinol via In-Silico Finite Element Approach

On phase transformation models for thermo-mechanically coupled response of Nitinol

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