The Model Analyses Of The Thermal-mechanics Coupled Problem Of Particle Forced Composites

Particle-reinforced composites have gained considerable interest for which they can possess the super ratio of strength and modulus in high temperature. However, in general, the thermal and mechanical properties of matrix and particle-reinforcement are very different. On the one hand, these kind materials will appear thermal-mismatch with action of temperature load; on the other hand, they ,will appear transform mismatch under mechanical loads. Generally, the materials and the devices are designed to work under coupling thermal and mechanical loads in engineering, so it is difficult to forecast their failure. Thus, it is very important to establish reasonable model for mechanics of composites. The arbitrarily distribution model of rigid elliptical inclusions and the ideal interface model of elastic circular inclusions under couple action of force loads and thermal loads is established as well as doubly-periodic array of inclusions including interphase. By applying the complex potential theory of elastic mechanics established by Muskhelishvili.N.I, the technique of series expansion and the principle of superposition, the problem can be reduced to a set of linear algebraic equations and the analytical results are obtained. The corresponding graphs of the problem are also plotted. From the results, the proportion of inclusions is determined by the ratio shear modulus of the two materials (matrix and inclusion) in order to attain the minimum of interface stress and there is an appropriate range. In the same way, the thickness of interphase layers is also determined by the ratio of shear modulus between matrix, inclusion and interphase layers and there is a moderate size.The whole paper consists of four chapters. In the first chapters, the usage and classification has been introduced as well as the foreground and new request to mechanics of composites. In the same time, the investigations of problem on particle-reinforced composites in recent have been also introduced and reviewed, finally, the content and significance of the studies in the paper is introduced. In the second chapter, the arbitrarily distribution model of rigid elliptical inclusions has been studied and the general solution of the interface stresses of inclusions is attained. In the third chapters , the thermal-mechanics coupled problem of doubly-periodic arrayof elastic circular inclusions is studied. Then, the variation rules of the interface stresses with alteration of the content of inclusions and the coefficient of thermal expansion. In the fourth chapters, the mechanical problem of doubly-periodic array of elastic circular inclusions including interphase layers has been investigated.The general solutions in this paper including exact solutions as special cases will contribute to the investigations of the structure optimized-design and damage of this kind of composite materials under the thermal mechanics coupled environment.