Asymptotic homogenization modeling and analysis of effective properties of smart composite reinforced and sandwich shells

2007 ◽  
Vol 49 (2) ◽  
pp. 138-150 ◽  
Author(s):  
Gobinda C. Saha ◽  
Alexander L. Kalamkarov ◽  
Anastasis V. Georgiades
Keyword(s):  
Effective Properties ◽  
Smart Composite ◽  
Asymptotic Homogenization ◽  
Modeling And Analysis ◽  
Sandwich Shells

scholarly journals Analysis of Smart Piezo-Magneto-Thermo-Elastic Composite and Reinforced Plates: Part I – Model Development

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
D. A. Hadjiloizi ◽  
A.L. Kalamkarov ◽  
Ch. Metti ◽  
A. V. Georgiades
Keyword(s):  
Effective Properties ◽  
Practical Importance ◽  
Electric Displacement ◽  
Micromechanical Model ◽  
Composite Plates ◽  
Thin Elastic Plate ◽  
Smart Composite ◽  
Uniform Thickness ◽  
Asymptotic Homogenization ◽  
Static Approximation

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.

Analytical and Numerical Predictions of Thermoelastic Properties of Carbon Single-Walled Nanotubes

Aerospace ◽  
2005 ◽  
Author(s):  
Vinod P. Veedu ◽  
Davood Askari ◽  
Mehrdad N. Ghasemi-Nejhad
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Graphene Sheet ◽  
Effective Properties ◽  
Constitutive Models ◽  
Thermoelastic Properties ◽  
Asymptotic Homogenization ◽  
Element Analysis ◽  
Single Walled Nanotubes ◽  
Numerical Predictions

The objective of this paper is to develop constitutive models to predict thermoelastic properties of carbon single-walled nanotubes using analytical, asymptotic homogenization, and numerical, finite element analysis, methods. In our approach, the graphene sheet is considered as a non-homogeneous network shell layer which has zero material properties in the regions of perforation and whose effective properties are estimated from the solution of the appropriate local problems set on the unit cell of the layer. Our goal is to derive working formulas for the entire complex of the thermoelastic properties of the periodic network. The effective thermoelastic properties of carbon nanotubes were predicted using asymptotic homogenization method. Moreover, in order to verify the results of analytical predictions, a detailed finite element analysis is followed to investigate the thermoelastic response of the unit cells and the entire graphene sheet network.

Analysis of effective properties of electroelastic composites using the self-consistent and asymptotic homogenization methods

2008 ◽  
Vol 46 (8) ◽  
pp. 818-834 ◽  
Author(s):  
V.M. Levin ◽  
F.J. Sabina ◽  
J. Bravo-Castillero ◽  
R. Guinovart-Díaz ◽  
R. Rodríguez-Ramos ◽  
...  
Keyword(s):  
Effective Properties ◽  
The Self ◽  
Asymptotic Homogenization ◽  
Self Consistent ◽  
Homogenization Methods

scholarly journals Effective properties evaluation for smart composite materials

2012 ◽  
Vol 34 (spe) ◽  
pp. 362-370 ◽  
Author(s):  
Ricardo de Medeiros ◽  
Mariano E. Moreno ◽  
Flávio D. Marques ◽  
Volnei Tita
Keyword(s):  
Composite Materials ◽  
Effective Properties ◽  
Smart Composite ◽  
Smart Composite Materials
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