Brito-Santana, H., Rodriguez-Ramos, R., Guinovart-Diaz, R., 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 20:50 |
| Last Modified: | 18 Jan 2018 17:29 |
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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