tailieunhanh - An alternative method for determining the coefficient of thermal expansion of composite material of spherical particles

In this paper we would like to introduce an alternative derivation method in order to obtain the thermal expansion coefficient of two-phase composite of spherical particles. Our results are the same as Vanin's and other authors'. | Vietnam Journal of Mechanics, VAST, Vol. 29, No. 1 (2007), pp. 58 - 64 AN ALTERNATIVE METHOD FOR DETERMINING THE COEFFICIENT OF THERMAL EXPANSION OF COMPOSITE MATERIAL OF SPHERICAL PARTICLES NGUYEN DINH Due Vietnam National University, Hanoi HOANG VAN TUNG Hanoi Architectural University, Vietnam Do THANH HANG National forecast center of hydrography, Vietnam . '\ Abstract. Composite material is widely used in modern structures. Many researchers have been involved in studying, developing and applying this kind of material. The composite material of spherical particles is a material composed of continuous matrix phase and spherical ·particles. In modern technique, it is very necessary to consider the influence of temperature on toughness and stability of structures. Therefore, determining the coefficient of thermal expansion of composite as a function of the coefficients and volume fractions of matrix and particle phases is a practical requirement. In this paper. we would like to introduce an alternative derivation method in order to obtain the thermal expansion coefficient of two-phase composite of spherical particles. Our results are the same as Vanin's and other authors'. ._., 1. INTRODUCTION Thermal expansion behaviour can be important when composite materials are used in conjunction with other materials and when it is necessary to match the thermal expansion coefficient of one structural component with another. Among the kinds of composite material, particle-reinforced material is an important one. Many researchers have been involved in determining the effective thermal expansion coefficient of this kind of composite, especially composite of spherical incl us ions [7] . Levin [8] showed that a simple relationship between the effective expansion coefficients and the effective elastic moduli could be derived for two-phase materials using the thermoelastic stress-strain relations. For an isotropic composite with two isotropic phases the basic relationship can