2016
DOI: 10.1590/1679-78252162
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Free Vibration of Laminated Composite Plate with Shape Memory Alloy Fibers

Abstract: In the present study, an analytical closed form solution for free vibration response of hybrid composite plate reinforced with shape memory alloy (SMA) fibers is derived. Recovery stresses generated during martensitic phase transformation are obtained based on onedimensional Brinson's model. The mechanical properties of plate are assumed to be temperature dependent. Based on the first-order shear deformation theory (FSDT) the governing equations are obtained via Hamilton's principle. Ritz method is used to obt… Show more

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Cited by 26 publications
(15 citation statements)
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“…where [Q] k is the reduced stiffness matrix of the k th layer of the laminated composite. {s} 12 and {e} 12 are the stress and strain vectors in 1-2 plane and V a is the volume fraction of the shape memory alloy within the composite.…”
Section: The Finite Element Methods Formulationmentioning
confidence: 99%
See 2 more Smart Citations
“…where [Q] k is the reduced stiffness matrix of the k th layer of the laminated composite. {s} 12 and {e} 12 are the stress and strain vectors in 1-2 plane and V a is the volume fraction of the shape memory alloy within the composite.…”
Section: The Finite Element Methods Formulationmentioning
confidence: 99%
“…The Brinson's model was used in this study to predict the amount of recovery stress induced by the shape memory alloy within the composite [13]. Using the constitutive and the evolutionary equations of the model, with initial strain, e L = 0.001, the amount of recovery stress, s r and the Young's modulus, E s of the shape memory alloy correspond to the activation temperature, T a are shown, Table 2.…”
Section: The Brinson's Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…Ostachowicz et al [ 3 ] established a finite element model for predicting the first three natural frequencies subjected to several kinds of pre-strain. Malekzadeh et al [ 4 , 5 , 6 , 7 ] developed the linear free vibration of hybrid laminated composite plates embedded with SMA fibers, employing the Ritz method, which lead to extracting the fundamental natural frequency, and investigated the dynamic behavior on detailed parametric analyses such as volume fraction, pre-strain, and aspect ratio. Park et al [ 8 ] studied the vibration behavior of thermally buckled SMA composite plates using the von Karman nonlinear incremental strain–displacement relation.…”
Section: Introductionmentioning
confidence: 99%
“…So far, many researchers have studied the vibration characteristics of SMAs. Mahabadi et al. (2016) presented a closed form solution for free vibration response of composite plate reinforced with SMA fibers.…”
Section: Introductionmentioning
confidence: 99%