Dynamic modeling and determination of effective properties of smart composite plates with rapidly varying thickness

2012 ◽  
Vol 56 ◽  
pp. 63-85 ◽  
Author(s):  
D.A. Hadjiloizi ◽  
A.V. Georgiades ◽  
A.L. Kalamkarov
2014 ◽  
Vol 1 (1) ◽  
Author(s):  
D. A. Hadjiloizi ◽  
A.L. Kalamkarov ◽  
Ch. Metti ◽  
A. V. Georgiades

AbstractA comprehensive micromechanical model for the analysis of a smart composite piezo-magneto-thermoelastic thin plate with rapidly-varying thickness is developed in the present paper. A rigorous three-dimensional formulation is used as the basis of multiscale asymptotic homogenization. The asymptotic homogenization model is developed using static equilibrium equations and the quasi-static approximation of Maxwell’s equations. The work culminates in the derivation of a set of differential equations and associated boundary conditions. These systems of equations are called unit cell problems and their solution yields such coefficients as the effective elastic, piezoelectric, piezomagnetic, dielectric permittivity and others. Among these coefficients, the so-called product coefficients are also determined which are present in the behavior of the macroscopic composite as a result of the interactions and strain transfer between the various phases but can be absent from the constitutive behavior of some individual phases of the composite material. The model is comprehensive enough to allow calculation of such local fields as mechanical stress, electric displacement and magnetic induction. In part II of this work, the theory is illustrated by means of examples pertaining to thin laminated magnetoelectric plates of uniform thickness and wafer-type smart composite plates with piezoelectric and piezomagnetic constituents. The practical importance of the model lies in the fact that it can be successfully employed to tailor the effective properties of a smart composite plate to the requirements of a particular engineering application by changing certain geometric or material parameters. The results of the model constitute an important refinement over previously established work. Finally, it is shown that in the limiting case of a thin elastic plate of uniform thickness the derived model converges to the familiar classical plate model.


Carbon nano tube fiber reinforced hybrid smart composites are often used in many engineering applications due to their high specific mechanical properties. This paper is concerned with the investigation of effective elastic and piezoelectric properties of hybrid smart nano composites. For this purpose, a hybrid smart composite reinforced with carbon nanotubes (CNTs) and piezoelectric fibers is proposed. The effective properties for the proposed composite are estimated analytically by using Mori Tanaka method. The different diameters of CNTs were taken for the analysis purpose. The effect of CNT diameters on the volume fractions of piezoelectric fibers for the proposed composite is examined. The results clearly highlight the benefits of using different types of CNTs. It is found that the change in diameter can play a significant role in the determination of effective properties of CNT reinforced hybrid composites


2006 ◽  
Vol 19 (3) ◽  
pp. 251-276 ◽  
Author(s):  
A. L. Kalamkarov ◽  
A. V. Georgiades ◽  
K. Challagulla ◽  
G. C. Saha

2017 ◽  
Vol 8 (4) ◽  
pp. 468-483
Author(s):  
Asad Shukri Albostami ◽  
Zhangjian Wu ◽  
Zhenmin Zou

Purpose An analytical investigation has been carried out for a simply supported rectangular plate with two different loading conditions by using 3D state space approach (SSA). Also, the accurate location of the neutral plane (N.P.) through the thickness of the plate can be identified: the N.P. is shifted away from the middle plane according to the loading condition. The paper aims to discuss these issues. Design/methodology/approach SSA and finite element method are used for the determination of structural behaviour of simply supported orthotropic composite plates under different types of loading. The numerical results from a finite element model developed in ABAQUS. Findings The effect of the plate thickness on displacements and stresses is described quantitatively. It is found that the N.P. of the plate, identified according to the values of the in-plane stresses through the thickness direction, is shifted away from the middle plane. Further investigation shows that the position of the N.P. is loading dependant. Originality/value This paper describe the effect of the plate thickness on displacements and stresses quantitatively by using an exact solution called SSA. Also, it is found that the N.P. of the plate, identified according to the values of the in-plane stresses through the thickness direction, is shifted away from the middle plane. Further investigation shows that the position of the N.P. is loading dependant.


1999 ◽  
Vol 65 (4) ◽  
pp. 124-130
Author(s):  
H. Ismar ◽  
W. Ripplinger ◽  
F. Schröter ◽  
M. Schultz

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