Development of a constitutive model considering functional fatigue and pre-stretch in shape memory alloy wires

Woodworth, Lucas A.; Lohse, Felix; Kopelmann, Karl; Cherif, Chokri; Kaliske, Michael

doi:10.1016/j.ijsolstr.2021.111242

Cited by 12 publications

(16 citation statements)

References 43 publications

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“…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%

“…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%

“…Additionally, the functional fatigue variables are all evolved in a similar manner [13] based on a saturation variable ω through χr = ςχ sat r , χd = ςχ sat d , εr = ςε sat r e e e e , Ḃ = ςB sat N t ,…”

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%

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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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“…Since this study is focused on the low cycle fatigue behavior of SMAs, functional fatigue of SMAs have not been considered in this study. However, several studies (Nargatti and Ahankari, 2022; Shi et al, 2022; Woodworth et al, 2022) have been conducted in the past investigating the functional fatigue of SMA wires.…”

Section: Behavior Of Smas Under Cyclic Loadingmentioning

confidence: 99%

Mechanical properties and constitutive models of shape memory alloy for structural engineering: A review

Mohammadgholipour

Billah

2023

Journal of Intelligent Material Systems and Structures

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Shape Memory Alloys (SMAs) are an innovative material with the unique features of superelasticity and energy dissipation capabilities under extreme loads. Due to their unique features, they have a great potential to be employed in structural engineering applications under different conditions. However, in order to effectively use SMAs in civil engineering structures and model their behaviors accurately in Finite Element (FE) packages, it is crucial for structural engineers to comprehend the mechanical properties and cyclic behavior of different SMA compositions under varying loading conditions. While previous studies have focused mainly on the cyclic behavior of SMAs under tensile loading, it is important to evaluate their fatigue behavior under cyclic tension-compression loading for seismic applications. This literature review aims to discuss the current gaps in the existing literature on the behavior of SMA rebars under low-cycle fatigue (LCF). The review provides a comprehensive overview of the primary characteristics of SMAs, summarizes the mechanical properties of SMAs presented in the literature and the parameters that affect them, and critically evaluates the effects of cyclic loading and LCF on SMAs. The review also provides a summary of the different constitutive models of SMAs and compares their advantages and limitations, which helps structural engineers to employ an appropriate constitutive model for predicting the accurate behavior of SMAs in FE software.

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“…Numerous models have been developed to describe and predict the functional characteristics of SMAs by researchers such as Auricchio et al, 68 Gu et al, 69 Liu et al, 70 and many more. [71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89]…”

Section: Properties Of Shape Memory Alloysmentioning

confidence: 99%

The role of NiTi shape memory alloys in quality of life improvement through medical advancements: A comprehensive review

Nair

Radhika

2022

Proc Inst Mech Eng H

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The significance of advanced smart materials in recent technological research and advancement is apparent from its extensive use in present day devices and instruments. Of the various smart materials in use today, the fascinating category of shape memory alloys (SMAs) is equipped with the ability to return to a previously memorized shape under certain thermomechanical or magnetic stimuli. The unique property of shape memory effect and superelasticity displayed by these materials along with good biocompatibility and corrosion resistance make them ideal for biomedical applications. The various applications of SMAs in surgical instruments, surgical implants, and assistive and rehabilitative devices have significant effect on the day to day life of people in the present age. Majority of these biomedical devices belong to the orthodontic, orthopedic, or surgical fields. Other remarkable applications of SMAs such as in the production of prostheses and orthoses designed through the biomimetic approach are also highly influential in improving the quality of life. The present paper provides an overview of the various properties of shape memory alloys and their applications in the biomedical field over the years, that have had a significant impact on the realm of medical science.

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Development of a constitutive model considering functional fatigue and pre-stretch in shape memory alloy wires

Cited by 12 publications

References 43 publications

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

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

Mechanical properties and constitutive models of shape memory alloy for structural engineering: A review

The role of NiTi shape memory alloys in quality of life improvement through medical advancements: A comprehensive review

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