On the domain of applicability of the Mori-Tanaka effective medium theory
- Volume: 2, Issue: 4, page 353-357
- ISSN: 1120-6330
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topFerrari, Mauro. "On the domain of applicability of the Mori-Tanaka effective medium theory." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.4 (1991): 353-357. <http://eudml.org/doc/244114>.
@article{Ferrari1991,
abstract = {The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.},
author = {Ferrari, Mauro},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Homogenization; Elasticity; Symmetry; stiffness tensor; isotropic inclusions; spherical reinforcements; symmetry; unidirectional fibers; high concentration limit},
language = {eng},
month = {12},
number = {4},
pages = {353-357},
publisher = {Accademia Nazionale dei Lincei},
title = {On the domain of applicability of the Mori-Tanaka effective medium theory},
url = {http://eudml.org/doc/244114},
volume = {2},
year = {1991},
}
TY - JOUR
AU - Ferrari, Mauro
TI - On the domain of applicability of the Mori-Tanaka effective medium theory
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/12//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 4
SP - 353
EP - 357
AB - The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.
LA - eng
KW - Homogenization; Elasticity; Symmetry; stiffness tensor; isotropic inclusions; spherical reinforcements; symmetry; unidirectional fibers; high concentration limit
UR - http://eudml.org/doc/244114
ER -
References
top- MORI, T. - TANAKA, K., Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, vol. 21, 1983, 571-574. MR797103
- NORRIS, A., An examination of the Mori-Tanaka effective medium approximation for multiphase composites. J. Appl. Mech., vol. 56, 1989, 83-88. Zbl0728.73047
- FERRARI, M. - JOHNSON, G. C., The effective elasticities of short-fiber composites with arbitrary orientation distribution. Mechanics of Materials, vol. 8, 1989, 67-73.
- HASHIN, Z., Theory of mechanical behaviour of heterogeneous media. Appl. Mech. Rev., vol. 17, 1964, 1-9.
- BENVENISTE, Y., A new approach to the application of Mori-Tanaka's theory in composite material. Mechanics of Materials, vol. 6, 1987, 147-157.
- FERRARI, M. - MARZARI, N., A Mori-Tanaka theory for textured short-fiber composites: Application. Proceedings of XII ETCE of ASME, Houston 1989, 111-117.
- WALPOLE, L. J., Elastic behavior of composite materials: Theoretical foundations. Advances in Applied Mechanics, vol. 21, 1981, 169-247. Zbl0508.73053
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