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Author Brito Santana, H. ♦ Rodríguez Ramos, R. ♦ Guivart Díaz, R. ♦ Bravo Castillero, J. ♦ Sabina, F. J. ♦ Maugin, G. A.
Source SpringerLink
Content type Text
Publisher Springer-Verlag
File Format PDF
Copyright Year ©2008
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations
Subject Keyword Variational bounds ♦ Multiphase composites ♦ Effective properties ♦ Homogenization ♦ Mechanics ♦ Theoretical and Applied Mechanics
Abstract Using the spherical and deviator decomposition of the polarization and strain tensors, we present a general algorithm for the calculation of variational bounds of dimension d for any type of anisotropic linear elastic composite as a function of the properties of the comparison body. This procedure is applied in order to obtain analytical expressions of bounds for multiphase, linear elastic composites with cubic symmetry where the geometric shapes of the inclusions are arbitrary. For the validation, it can be proved that for the isotropic particular case, the bounds coincide with those recently reported by Gibiansky and Sigmund. On the other hand, based on this general procedure some, classical bounds reported by Hashin for transversely isotropic composites, are reproduced. Numerical calculations and some comparisons with other models and experimental data are shown.
ISSN 09391533
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2008-09-26
Publisher Place Berlin/Heidelberg
e-ISSN 14320681
Journal Archive of Applied Mechanics
Volume Number 79
Issue Number 3
Page Count 16
Starting Page 189
Ending Page 204

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Source: SpringerLink