Analytical model of functionally graded material/shape memory alloy composite cantilever beam under bending

2018 ◽  
Vol 203 ◽  
pp. 764-776 ◽  
Author(s):  
N.V. Viet ◽  
W. Zaki ◽  
R. Umer
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Analytical Model ◽  
Cantilever Beam ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Alloy Composite ◽  
Graded Material

Analytical Model for a Functionally Graded Material/Shape Memory Alloy Laminated Composite Cantilever Beam

2018 ◽  
Author(s):  
Wael Zaki ◽  
N. V. Viet
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Analytical Model ◽  
Cantilever Beam ◽  
Functionally Graded Material ◽  
Laminated Composite ◽  
Functionally Graded ◽  
Concentrated Force ◽  
Element Analysis ◽  
Graded Material

Based on the ZM model for shape memory alloys, an analytical model is derived for a functionally graded material (FGM)/shape memory alloy (SMA) laminated composite cantilever beam subjected to concentrated force at the tip. The beam consists of a SMA core layer bonded to identical FGM layers on both sides. The FGM layer is considered to be elastic with an equivalent Young’s modulus related to those of the constituents by means of a power law. Phase transformation within the SMA layer is accounted for in deriving the analytical relations, which are validated against finite element analysis results.

scholarly journals Modeling the behavior of bilayer shape memory alloy/functionally graded material beams considering asymmetric shape memory alloy response

2019 ◽  
Vol 31 (1) ◽  
pp. 84-99 ◽  
Author(s):  
Nguyen Van Viet ◽  
Wael Zaki ◽  
Rehan Umer ◽  
Quan Wang
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Functionally Graded Material ◽  
Three Dimensional ◽  
Laminated Composite ◽  
Alloy Layer ◽  
Functionally Graded ◽  
Tension And Compression ◽  
Graded Material ◽  
Asymmetric Shape

A new model is proposed to describe the response of laminated composite beams consisting of one shape memory alloy layer and one functionally graded material layer. The model accounts for asymmetry in tension and compression of the shape memory alloy behavior and successfully describes the dependence of the position of the neutral surface on phase transformation within the shape memory alloy and on the load direction. Moreover, the model is capable of describing the response of the composite beam to both loading and unloading cases. In particular, the derivation of the equations governing the behavior of the beam during unloading is presented for the first time. The effect of the functionally graded material gradient index and of temperature on the neutral axis deviation and on the overall behavior of the beam is also discussed. The results obtained using the model are shown to fit three-dimensional finite element simulations of the same beam.

Shape memory alloy based NiTi reinforced functionally graded material for vibration damping

2021 ◽  
pp. 146442072110355
Author(s):  
Namrata Gangil ◽  
Arshad Noor Siddiquee ◽  
Sameera Mufazzal ◽  
SM Muzakkir ◽  
Sachin Maheshwari
Keyword(s):  
Titanium Alloy ◽  
Shape Memory ◽  
Functionally Graded Material ◽  
Friction Stir Processing ◽  
Vibration Damping ◽  
Functionally Graded ◽  
Nickel Titanium ◽  
Friction Stir ◽  
Alloy Particles ◽  
Graded Material

Shape memory based high performance nickel-titanium alloy particles were embedded by friction stir processing in graded concentration on the surface of light weight commercially pure magnesium cast plates. The novel functionally graded material so developed was analyzed for microhardness evolution and vibration damping effect. The nickel-titanium alloy particles were filled in a 2.5 wide × 3 mm deep slot and embedded on the surface by friction stir processing. A shallower slot 2.5 wide × 1.5 mm deep was milled over the previously embedded surface in which nickel-titanium alloy powder was again filled and embedded on the surface by second pass friction stir processing. This sequence of pass created the graded variation in nickel-titanium alloy concentration. The so fabricated functionally graded material was cut out from the plate and it was hot-forged to 2/3 thickness and subsequently quenched. The microstructural examination confirmed homogeneous dispersion of nickel-titanium alloy particles and clear interface between high and low concentration regions. The microhardness confirmed a uniform graded variation in hardness. The vibration damping tests confirm considerable improvement in the damping capacity of the fabricated functionally graded material.

scholarly journals Vibration of deploying rectangular cross-sectional beam made of functionally graded materials

2018 ◽  
Vol 37 (4) ◽  
pp. 748-761
Author(s):  
Feng-Qun Zhao ◽  
Zhong-Min Wang
Keyword(s):  
Differential Equations ◽  
Cantilever Beam ◽  
Functionally Graded Material ◽  
Equations Of Motion ◽  
Admissible Function ◽  
Functionally Graded ◽  
Beam Deflection ◽  
Cross Sectional ◽  
Graded Material ◽  
The Cross

Transverse vibration and stability of deploying rectangular cross-sectional cantilever beam made of functionally graded material are investigated. The functionally graded material beam is assumed to be constructed with ceramics and metal phases, and the corresponding equivalent parameters of functionally graded material are found to continuously vary across the cross-sectional height with a simple power law. The differential equations of motion of deploying functionally graded material cantilever beam are derived by Hamilton’s principle. Based on the assumed modal method, the beam deflection function is expanded into a series, in which each term is expressed to admissible function multiplied by generalized coordinate. The eigenfunctions of cantilever beam in which the length of the beam is time-dependent are chosen as admissible functions. Galerkin method is employed to discretize the differential equation to a set of time-coordinate-dependent ordinary differential equations, and then the eigenvalue problem depending on time is obtained. The deployment motion of beam is considered as a constant speed in this study, and some numerical results, which are variations of tip deflection response and complex frequencies, are obtained. Finally, the effects of gradient index of functionally graded material, deploying speed, initial length and protruded length, the cross-sectional height on dynamical characteristics, and divergence instability of the deploying functionally graded material beam are discussed.

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