Computation of effective properties in two-phase piezocomposites with a rectangular periodic array

  • Ransés Alfonso Rodríguez
  • Julián Bravo Castillero
  • Renald Brenner
  • David Guinovart Sanjuán
  • Raúl Guinovart Díaz
  • Reinaldo Rodríguez Ramos
Palabras clave: Periodic composites, asymptotic homogenization method, effective properties, infinite systems. (es_ES)

Resumen (es_ES)

Based on the Asymptotic Homogenization Method, the electromechanical global behavior of a two-phase piezoelectric unidirectional periodic fibrous composite is investigated. The composite is made of homogeneous and linear transversely isotropic piezoelectric materials that belong to the symmetry crystal class 622. The cross-sections of the fibers are circular and are centered in a periodic array of rectangular cells. The composite state is anti-plane shear piezoelectric. Local problems that arise from the two-scale analysis using the Asymptotic Homogenization Method are solved by means of a complex variable, leading to an infinite system of algebraic linear equations. This infinite system is solved here using different truncation orders, allowing a numerical study of the effective properties. Some numerical examples are shown.


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E . López-López, F. J. Sabina, J. Bravo-Castillero, R. Guinovart-Díaz y R. Rodríguez-Ramos, “Overall electromechanical properties of a binary composite with

symmetry constituents. Antiplane shear piezoelectric state”, International Journal of Solids and Structures, Volume 42, pp. 5765-5777, 2005.

J. Bravo-Castillero, J. A. Otero, R. Rodríguez-Ramos y A. Bourgeat, “Asymptotic homogenization of laminated piezocomposite materials”, International Journal of Solids and Structures, Volume 35, Issue 5-6, pp. 527-541, 1998.

L. M. Sixto-Camacho, J. Bravo-Castillero, R. Brenner, R. Guinovart-Díaz, H. Mechkour, R. Rodríguez-Ramos y F. J. Sabina, “Asymptotic homogenization of

periodic thermo-magneto-electro-elastic heterogeneous media”, Computers and Mathematics with Applications, Volume 66, pp. 2056-2074, 2013.

G. G. Nava-Gómez, H. Camacho-Montes, F. J. Sabina, R. Rodríguez-Ramos, L. Fuentes, R. Guinovart-Díaz, “Elastic properties of an orthotropic binary fiber-reinforced composite with auxetic and conventional constituents”, Mechanics of Materials, Volume 48, pp. 1-25, 2012.

S. Lang, Complex Analysis, New York: Springer-Verlag, 1993.

H. Moulinec y P. Suquet, “A numerical method for computing the overall response of nonlinear composites with complex microstructure”, Comput. Methods Appl. Mech. Engrg., Volume 157, pp. 69-94, 1998.

J. C. Michel, H. Moulinec y P. Suquet, “A computationl scheme for linear and nonlinear

composites with arbitrary phase contrast”, International Journal for Numeriacl Method in Engineering, Volume

, pp. 139-160, 2001.

R . Brenner, “Numerical computation of the responze of piezoelectric composites using Fourier transform”, Physical Review, 2009.

R . Brenner, “Computational approach for composite materials with coupled constitutive

laws”, Journal of Applied Mathematics and Physics, vol. 61, nº 5, pp. 919-927, 2010.

Cómo citar
Rodríguez, R. A., Bravo Castillero, J., Brenner, R., Guinovart Sanjuán, D., Guinovart Díaz, R., & Rodríguez Ramos, R. (2014). Computation of effective properties in two-phase piezocomposites with a rectangular periodic array. Visión electrónica, 8(1), 29-39.
Publicado: 2014-06-03
Visión Investigadora

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