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- Title
Polarization versus Mori-Tanaka approximations for elastic isotropic multicomponent materials.
- Authors
Tran, N. Q.; Tran, A. B.; Pham, D. C.; Nguyen, N.
- Abstract
A new method, called the polarization approximation (PA), appears as an interesting technique to calibrate the effective properties of composite materials. Constructed from the minimum energy principle, the popularization approximation is a potential alternative to the popular Mori-Tanka approximation (MTA), and has been derived as an approximation of the macroscopic moduli as well as the microscopic fields. In the literature, MTA has been applied to various homogenization problems of a wide range of composite materials though sometimes, the results lack robust accuracy. It is shown in this paper that PA is more reliable than MTA. The similarity and differences between PA and MTA when applying to elastic modulus will be pointed out using some types of heterogeneous microstructures, which have isotropic macroscopic elastic moduli in 2D or 3D. Results from other methods, such as experiments, the numerical unit cell method and the Hashin-Shtrikman bounds will also be presented as well for comparisons.
- Subjects
ELASTIC modulus; UNIT cell; MECHANICAL properties of condensed matter
- Publication
Journal of Mechanical Science & Technology, 2021, Vol 35, Issue 7, p3033
- ISSN
1738-494X
- Publication type
Article
- DOI
10.1007/s12206-021-0626-9