Unit Cell Analysis of the Superelastic Behavior of Open-Cell Tetrakaidecahedral Shape Memory Alloy Foam under Quasi-Static Loading

Maîtrejean, Guillaume; Terriault, Patrick; Capilla, Diego Devís; Braïlovski, Vladimir

doi:10.1155/2014/870649

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…The constitutive equations used in simulation of helical springs made of Nitinol alloy are based on the SMA Auricchio model which is implemented in the ANSYS finite element code [17,18]. Two major features make this modeling quite useful and appropriate [19]. First of all, the number of constitutive parameters used during the analysis is reduced to a strict minimum; so they can be accurately identified experimentally.…”

Section: Numerical Simulations Performed On Sma Niti Alloymentioning

confidence: 99%

Force-displacement relationships for NiTi alloy helical springs by using ANSYS: Superelasticity and shape memory effect

Mtili

Khamlichi

Hessissen

et al. 2022

IRASE

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Shape memory alloys are smart materials which have remarkable properties that promoted their use in a large variety of innovative applications. In this work, the shape memory effect and superelastic behavior of nickel-titanium helical spring was studied based on the finite element method. The three-dimensional constitutive model proposed by Auricchio has been used through the built-in library of ANSYS® Workbench 2020 R2 to simulate the superelastic effect and one-way shape memory effect which are exhibited by nickel-titanium alloy. Considering the first effect, the associated force-displacement curves were calculated as function of displacement amplitude. The influence of changing isothermal body temperature on the loading-unloading hysteretic response was studied. Convergence of the numerical model was assessed by comparison with experimental data taken from the literature. For the second effect, force-displacement curves that are associated to a complete one-way thermomechanical cycle were evaluated for different configurations of helical springs. Explicit correlations that can be applied for the purpose of helical spring's design were derived.

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Section: Numerical Simulations Performed On Sma Niti Alloymentioning

confidence: 99%

Force-displacement relationships for NiTi alloy helical springs by using ANSYS: Superelasticity and shape memory effect

Mtili

Khamlichi

Hessissen

et al. 2022

IRASE

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“…The frictionless boundary condition is also very simple to implement because it is assumed that vertical faces are forced to remain on their initial plane, while the displacements on this plane occur without friction [7]. The planar boundary condition is based on the assumption that vertical faces always remain flat and parallel during the deformation of the structure [4,6,[8][9][10][11]. Finally, the periodic boundary condition forces two opposite faces to deform in exactly the same manner [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study

Terriault

Braïlovski

2017

Advances in Materials Science and Engineering

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Emergent additive manufacturing processes allow the use of metallic porous structures in various industrial applications. Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A homogenization technique, in which the lattice structure is simulated as a fully dense volume having equivalent material properties, can then be employed. To determine these equivalent material properties, numerical simulations can be performed on a single unit cell of the lattice structure. However, a critical aspect to consider is the boundary conditions applied to the external faces of the unit cell. In the literature, different types of boundary conditions are used, but a comparative study is definitely lacking. In this publication, a diamond-type unit cell is studied in compression by applying different boundary conditions. If the porous structure’s boundaries are free to deform, then the periodic boundary condition is found to be the most representative, but constraint equations must be introduced in the model. If, instead, the porous structure is inserted in a rigid enclosure, it is then better to use frictionless boundary conditions. These preliminary results remain to be validated for other types of unit cells loaded beyond the yield limit of the material.

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“…• There also tends to be some variation in the identification of the tetrakaidecahedron topology (Figure A.4(19)). Some literature may reference it as a tetrakaidecahedron, while others may use the term Kelvin, sometimes referencing the other term and other times making no mention of it [67,101,137,139,191,[254][255][256]. The terms Voronoi or truncated octahedron are also used to describe a geometry which is identical to tetrakaidecahedron/Kelvin [134,135,257,258].…”

Section: A41 Topologymentioning

confidence: 99%

Multiscale Impact Mechanics of Additively Manufactured Periodic Cellular Solids

Bernard

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Cellular materials are well known to have superior weight-specific properties, including Energy Absorption (EA) capabilities, as compared to solid, monolithic materials. Regular periodic lattice materials, which are a subset of cellular materials, are I would like to begin by thanking my supervisor Dr. Mostafa El Sayed, without whom I would have been unable to see this work through to completion. His persistent push to challenge me helped me grow academically and I truly appreciate all of his guidance and encouragement throughout the entire thesis process, which can be rather tense during the best of times but was a unique process to start, continue, and end during a pandemic, which was an ever-present looming shadow.I would also like to acknowledge the guidance of Dr. Muhammet Yalcin, with whom I had the pleasure of working with in 2022 and with whom I am looking forward to finishing the publication of a few additional papers from our work together.I would also like to sincerely thank BOMBARDIER Aerospace, Montreal, together with MITACS, Canada, for their financial support of this research.Additionally, thank you to my peers: Padmassun for his quick and detailed Python and regex help; and Ariane for her Ansys SpaceClaim guidance, supportive words, and the helpful encouragement to simply write a bit of code to do my repetitive tasks automatically.Thank you to my family -mom, dad, and Kael -for their continual support throughout this seemingly unending academic journey. I also owe a great deal of thanks to my close friends -A, S, K, and B -for all of the ways in which they supported me along this perilous road: countless phone and video chats; brunches, bubble tea excursions, dinners, and long walks to help me get out of my apartment; watching cringe TV shows and sharing in my learning of crochet as stress-relievers; passing along their vi ramen recipes that I can't believe I've missed out on for so long; and for simply sticking around.I would also like to thank my therapist -who knows who she is -for her constant support.And lastly, the following events go fully unacknowledged, for they did not positively contribute to my physical nor mental health, cannot be said to have aided any forward progress of this thesis whatsoever and, without them, I surely would have finished sooner: the COVID-19 pandemic and contracting COVID-19; and the passing of my childhood puppy. vii

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Unit Cell Analysis of the Superelastic Behavior of Open-Cell Tetrakaidecahedral Shape Memory Alloy Foam under Quasi-Static Loading

Cited by 5 publications

References 26 publications

Force-displacement relationships for NiTi alloy helical springs by using ANSYS: Superelasticity and shape memory effect

Force-displacement relationships for NiTi alloy helical springs by using ANSYS: Superelasticity and shape memory effect

Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study

Multiscale Impact Mechanics of Additively Manufactured Periodic Cellular Solids

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