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Variational Bounds for Multiphase Transversely Isotropic Composites

Title:

Variational Bounds for Multiphase Transversely Isotropic Composites

Brito-Santana, H. and Rodriguez-Ramos, R. and Guinovart-Diaz, R. and Bravo-Castillero, J. and Sabina, F.J. (2006) Variational Bounds for Multiphase Transversely Isotropic Composites. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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Abstract

A general algorithm for the calculation of variational bounds for any type of anisotropic linear elastic composite is presented. Analytical expressions for the bounds are derived using this general approach. Bounds for multiphase, linear, transversely isotropic, elastic composites are reported. Bounds for the two-dimensional case are calculated. Some comparisons with other models are shown.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Monograph (Technical Report)
Authors:Brito-Santana, H. and Rodriguez-Ramos, R. and Guinovart-Diaz, R. and Bravo-Castillero, J. and Sabina, F.J.
Series Name:Department of Mathematics & Statistics. Technical Report No. 4/06
Corporate Authors:Concordia University. Department of Mathematics & Statistics
Institution:Concordia University
Date:August 2006
ID Code:6675
Deposited By:DIANE MICHAUD
Deposited On:03 Jun 2010 16:50
Last Modified:08 Dec 2010 18:21
References:
Pobedrya, B. E. 1984. Mechanics of Composite Materials. Moscow State University Press, Moscow, (in Russian).

Ponte-Castañeda, P. 1992. New variational principles in plasticity and their application to composite materials. J. Mech. Phys. Solids 40, 1757–1788.

Rodriguez-Ramos, R. Pobedria, B.E., Padilla, P., Bravo-Castillero, J., Guinovart-Diaz, R., Maugin, G.A., 2004. Variational principles for nonlinear piezoelectric materials. Arch. Appl. Mech. 74, 191-200.

Willis, J.R., 1991. On methods to bound the overall properties of nonlinear composites. J. Mech Phys. Solids 39, 73–86.

Hashin, Z. 1965. On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry. J. Mech. Phys. Solids, Vol.13, 119 – 134.
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