On the Fracture Response of Shape Memory Alloy Actuators

Jape, Sameer; Parrinello, Antonino; Baxevanis, Theocharis; Lagoudas, Dimitris C.

doi:10.1002/9781119090427.ch17

Cited by 3 publications

(20 citation statements)

References 17 publications

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“…are the Cartensian components of the stress tensor and of the transforma strain tensor, respectively, and ijkl S are the components of the current tensor of complia [25].The transformation strains are an order of magnitude higher than the thermoelastic stra therefore the latter can be considerednegligible.In this report, standard Einstein notation utilizedand summation over recurrent indices is implicit [26]. The currenttensor of complia changes with the martensitic volume fraction  as phases, respectively, and δ ij is Kronecker's delta [27]. An equation of evolution of the transformation strain is defined based on its relation to the martensitic volume fractionevolution ξ, (2) where, Λ ij , the components of the direction tensor, are defined as (3) Where, H cur is the uniaxial transformation strain magnitude for the complete transformation, , where the index  stands for A in the case of austenite and for M in the case of martensite.…”

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

“…An equation of evolution of the transformation strain is defined based on its relation to the martensitic volume fractionevolution ξ, (2) where, Λ ij , the components of the direction tensor, are defined as (3) Where, H cur is the uniaxial transformation strain magnitude for the complete transformation, , where the index  stands for A in the case of austenite and for M in the case of martensite.  E ,   denote the Young's modulus and Poisson's ratio of the two phases, respectively, and ij  is Kronecker's delta [27].…”

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

“…An equation of evolution of the transformation strain is defined based on its relation to the martensitic volume fractionevolution  , J form of the tensor of direction [27].…”

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

“…During the reverse transformation, it is presumed that the magnitude and direction of the recovery transformation strainis dictated by the mean orientation of martensiticphase at the reversal transformation, which is the endingpoint of the forward transformation, partial or full [28].Such a definition permitsthe return to zero transformation of strain for each state havinginsignificant martensitic volume fraction. cur H isa function of the state of stresses since most of SMAs do not show a constant maximum achievable transformation strain at every stress level [29].…”

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

“…During the transformation, the components of stress tensor muststay on the transformation surface (5) is the Mises equivalent stress and s ij = σ ij -σ kk δ ij /3 are the stress deviator constituents. During forward phase transformation, the transformation strain is oriented in the direction of deviatoric stress, motivating the selected J 2 form of the tensor of direction [27]. During the reverse transformation, it is presumed that the magnitude and direction of the recovery transformation strainis dictated by the mean orientation of martensiticphase at the reversal transformation, which is the endingpoint of the forward transformation, partial or full [28].…”

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

See 4 more Smart Citations

SMA-Coated Aluminum Structural Elements with Enhanced-Thermo-Mechanical Performance

Exarchos

Dalla

Tragazikis

et al. 2018

Advanced Composites Letters

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This work presents the development of novel multifunctional Shape Memory Alloy (SMA) coatings aiming to improve the mechanical behavior of structural components, as well as their corrosion resistance. The groundbreaking concept of the new coating material is described briefly as follows: Upon heating, the SMA coating tends to recover its experienced deformation and return to its original shape. At that point, shear forces developing at the interface between coating and structure are expected to mitigate the deformation of the structure and reduce its overall stress field level. The latter is a great benefit for regions where cracks exist, since the local reduction of the stress field will delay the crack propagation and hence the structural failure. Numerical analysis is performed to gain understanding of the expected thermomechanical response of the entire SMA-coated composite structure. The influence of the alloy composition and precipitates on the thermomechanical properties are also examined. The SMA coating is subjected to appropriate processing conditions and deposited on metallic substrates of proper geometry following a custom-designed two-phase process, which enables beneficial shape recovery enabling the efficient mitigation of the structure's deformation. Processing consists of aging heat treatments, which are of paramount importance for endowing the coating with the shape memory effect. The effect of heat treatment conditions on the thermo-mechanical fatigue response of the material was also characterized. The developed SMA coatings on aluminum structural elements can find significant application in aeronautical engineering, as for example in the aircraft wing box structure reinforcement and the fuselage structure to enhance their structural integrity.

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Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

“…An equation of evolution of the transformation strain is defined based on its relation to the martensitic volume fractionevolution  , J form of the tensor of direction [27].…”

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

Section: Thermomechanical Sma Constitutive Modelmentioning

confidence: 99%

See 3 more Smart Citations

SMA-Coated Aluminum Structural Elements with Enhanced-Thermo-Mechanical Performance

Exarchos

Dalla

Tragazikis

et al. 2018

Advanced Composites Letters

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A Finite-Strain Phase-Field Description of Thermomechanically Induced Fracture in Shape Memory Alloys

Hasan

Zhang²,

Baxevanis³

2022

Shap. Mem. Superelasticity

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Crack Growth Behavior in NiTi Shape Memory Alloys Under Mode-I Isothermal Loading: Effect of Stress State

Haghgouyan

Караман

Jape

et al. 2018

Volume 2: Mechanics and Behavior of Active Materials; Structural Health Monitoring; Bioinspired Smart Materials and Systems; En

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Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and crack growth under displacement boundary condition is investigated for plane strain and plane stress conditions. Parameters for the SMA material constitutive law implemented in the finite element setup are acquired from characterization tests conducted on near-equiatomic NiTi SMA. Virtual crack closure technique (VCCT) is implemented where crack is assumed to extend when the energy release rate at the crack-tip becomes equal to the experimentally obtained material-specific critical value. Loaddisplacement curves and mechanical fields near the crack-tip in plane strain and plane stress cases are examined. Moreover, a discussion with respect to the crack resistance R-curves calculated using the load-displacement response for plane strain and plane stress conditions is presented.

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On the Fracture Response of Shape Memory Alloy Actuators

Cited by 3 publications

References 17 publications

SMA-Coated Aluminum Structural Elements with Enhanced-Thermo-Mechanical Performance

SMA-Coated Aluminum Structural Elements with Enhanced-Thermo-Mechanical Performance

A Finite-Strain Phase-Field Description of Thermomechanically Induced Fracture in Shape Memory Alloys

Crack Growth Behavior in NiTi Shape Memory Alloys Under Mode-I Isothermal Loading: Effect of Stress State

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