Geodesic
A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations
Applications of Mathematics, Tome 42 (1997) no. 4, pp. 245-257.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we study a unidirectional and elastic fiber composite. We use the homogenization method to obtain numerical results of the plane strain bulk modulus and the transverse shear modulus. The results are compared with the Hashin-Shtrikman bounds and are found to be close to the lower bounds in both cases. This indicates that the lower bounds might be used as a first approximation of the plane strain bulk modulus and the transverse shear modulus. We also point out the connection with the Hashin-Shtrikman bounds and the Halpin-Tsai equations. Optimal bounds on the fitting parameters in the Halpin-Tsai equations have been formulated.
DOI : 10.1023/A:1023034411371
Classification : 35B27, 35Q72, 73B27, 73K20, 74E05, 74E30
Keywords: composite materials; homogenization; Hashin-Shtrikman bounds; Halpin-Tsai equations; effective properties; auxiliary partial differential equations; unidirectional elastic fiber composite; fitting parameter 
@article{10_1023_A_1023034411371,
     author = {Wall, Peter},
     title = {A comparison of homogenization, {Hashin-Shtrikman} bounds and the {Halpin-Tsai} equations},
     journal = {Applications of Mathematics},
     pages = {245--257},
     publisher = {mathdoc},
     volume = {42},
     number = {4},
     year = {1997},
     doi = {10.1023/A:1023034411371},
     mrnumber = {1453931},
     zbl = {0898.35007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1023034411371/}
}
TY  - JOUR
AU  - Wall, Peter
TI  - A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations
JO  - Applications of Mathematics
PY  - 1997
SP  - 245
EP  - 257
VL  - 42
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1023034411371/
DO  - 10.1023/A:1023034411371
LA  - en
ID  - 10_1023_A_1023034411371
ER  - 
%0 Journal Article
%A Wall, Peter
%T A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations
%J Applications of Mathematics
%D 1997
%P 245-257
%V 42
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1023034411371/
%R 10.1023/A:1023034411371
%G en
%F 10_1023_A_1023034411371
Wall, Peter. A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations. Applications of Mathematics, Tome 42 (1997) no. 4, pp. 245-257. doi : 10.1023/A:1023034411371. http://geodesic.mathdoc.fr/articles/10.1023/A:1023034411371/

Cité par Sources :