A multi-featured shape memory alloy constitutive model incorporating tension–compression asymmetric interpolation

Woodworth, Lucas A.; Wang, Xiaonan; Lin, Guiping; Kaliske, Michael

doi:10.1016/j.mechmat.2022.104392

Cited by 6 publications

(6 citation statements)

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“…Fourth, the tension-compression asymmetry is implemented through an interpolation of material parameters between a value in tension and a value in compression in the deviatoric plane of N t [14]. The interpolated parameters are the maximum transformation strain ε L , the Young's modulus of martensite E S and a factor for the plastic yielding X p .…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

“…The constitutive model in this work is mainly a combination of two models we have presented recently. The first model incorporates transformation and functional fatigue [13] and the second model introduces a framework for tension-compression asymmetry, internal loops and plasticity [14]. The interested reader is referred to these works for further details.…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

“…where H( χS ) and H(− χS ) are used to distinguish between forward and reverse transformation [14]. This energy depends on a polynomial hardening energy function written as…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

“…The foundation for the model is the Helmholtz free energy Ψ = Ψ(ε, θ, χ S , N t , ε p , χ r , χ d , B, ε r ) expressed as a function of the total strain ε, temperature θ, martensite volume fraction χ S , transformation strain direction N t , plastic strain ε p , residual martensite χ r , volume fraction of defects χ d , residual stress B and residual strain ε r . Based on a combination of our previous works [13,14], the free energy is expressed as…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

“…An additional thermodynamic force quantity A A A t is introduced to account for the interaction of the phase transformation with reorientation [14] through…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

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Modeling the Response of NiTi Endodontic Files Subjected to Cyclic Non‐proportional Loading

Woodworth

Kaliske

2023

Proc Appl Math and Mech

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Nickel-Titanium (NiTi) endodontic files have emerged as valuable tools for root canal treatment due to their high strength and flexibility. During treatment, the files are rotated in the bent configuration of the root canal, which leads to cyclic nonproportional loading. With the goal of understanding the mechanical response of NiTi endodontic files and to allow for an enhanced design of these structures, a constitutive model for shape memory alloys is developed. This model incorporates several of the features present in SMAs relevant for the mechanical response of endodontic files including: transformation, reorientation, yield plasticity, functional fatigue, tension-compression asymmetry and internal loops. The model is implemented in Ansys using a small strain formulation and extended to finite strains using the nonlinear geometry algorithm in Ansys. Validation of the model is performed by simulating a cyclic torsional experiment from the literature using a simplified file geometry. Finally, the model is applied to simulate a simplified file under torsional rotation in a bent configuration. The results illustrate that the endodontic file develops a torsional oscillation during the course of the cyclic loading, which is directly associated with an increase in residual stresses. Furthermore, the torsional oscillation leads to higher values of the martensite volume fraction and stress.

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Section: Constitutive Model For Smasmentioning

confidence: 99%

Section: Constitutive Model For Smasmentioning

confidence: 99%

“…where H( χS ) and H(− χS ) are used to distinguish between forward and reverse transformation [14]. This energy depends on a polynomial hardening energy function written as…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

Section: Constitutive Model For Smasmentioning

confidence: 99%

“…An additional thermodynamic force quantity A A A t is introduced to account for the interaction of the phase transformation with reorientation [14] through…”

Section: Constitutive Model For Smasmentioning

confidence: 99%

See 3 more Smart Citations