TY - JOUR
T1 - On the reduced parameter dependence of the Mori-Tanaka theory
AU - Jasiuk, Iwona
AU - Dundurs, John
AU - Jiang, Mingxiao
N1 - Funding Information:
We gratefully acknowledge the support by the National Science Foundation grant MSS 9402285.
PY - 2000/6/15
Y1 - 2000/6/15
N2 - In this paper we study the effective elastic moduli of composite materials and explore the possibility of reducing the number of independent variables. More specifically we consider the results for the effective planar elastic moduli of composites containing circular inclusions. We assume that the interface between the matrix and inclusions is either perfectly bonded or is allowed to slip, and we employ the Mori-Tanaka theory (T. Mori, K. Tanaka, Acta Metall. 21 (1973) 571; Y. Benveniste, Mech. Mater. 6 (1987) 147) to account for inclusions' interaction. In the analysis we use a recent result in plane elasticity due to Cherkaev et al. (A. Cherkaev, K. Lurie, G.W. Milton, Proc. R. Soc. A 438 (1992) 519) and Dundurs constants (J. Dundurs, J. Comp. Mater. 1 (1967) 310; J. Dundurs, J. Appl. Mech. 36 (1969) 650).
AB - In this paper we study the effective elastic moduli of composite materials and explore the possibility of reducing the number of independent variables. More specifically we consider the results for the effective planar elastic moduli of composites containing circular inclusions. We assume that the interface between the matrix and inclusions is either perfectly bonded or is allowed to slip, and we employ the Mori-Tanaka theory (T. Mori, K. Tanaka, Acta Metall. 21 (1973) 571; Y. Benveniste, Mech. Mater. 6 (1987) 147) to account for inclusions' interaction. In the analysis we use a recent result in plane elasticity due to Cherkaev et al. (A. Cherkaev, K. Lurie, G.W. Milton, Proc. R. Soc. A 438 (1992) 519) and Dundurs constants (J. Dundurs, J. Comp. Mater. 1 (1967) 310; J. Dundurs, J. Appl. Mech. 36 (1969) 650).
KW - Dundurs constants
KW - Effective elastic moduli
KW - Mori-Tanaka theory
KW - Reduced parameter dependence
KW - Slipping interfaces
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U2 - 10.1016/s0921-5093(00)00724-3
DO - 10.1016/s0921-5093(00)00724-3
M3 - Article
AN - SCOPUS:0033707858
SN - 0921-5093
VL - 285
SP - 130
EP - 135
JO - Materials Science and Engineering: A
JF - Materials Science and Engineering: A
IS - 1-2
ER -