On Simplified Composite Micromechanics Equation and Inverse Mixture Rule

Abstract

Minimum and maximum values of the ratio and difference of reciprocals of the two values of transverse modulus given by inverse mixture rule and Chamis simplified micromechanics equation [Hopkins, D.A. and Chamis, C.C. (1988). A Unique set of Micromechanics Equations for High Temperature Metal Matrix Composite, In: DiGiovanni, P.R. and Adsit, N.R. (eds), Testing Technology of Metal Matrix Composites, ASTM STP 964, pp. 159–176, American Society for Testing and Materials, Philadelphia, PA.] are obtained in this paper when the fractional concentrations are changed in a specified manner and the moduli of the constituents take prescribed values. It is shown that if the values of the moduli of constituents are increased by a fixed value, the value of the longitudinal modulus is also increased by this fixed value while the corresponding value of the transverse modulus is increased by a greater amount.