Some General Solutions To The Thermoelastic Problem Of A Circular Inclusion With Interfacial Defects

The refractory composite materials have been widely used in engineering,It has great theoretical significance and applicational value to study the coupled effect for thermal and mechanical loading of this materials, especially the themoelastic problem of inclusion with various micro structure defects. The elastic response of composites under a heat point source and the concentrated load is mainly researched in this paper, the plane elastic model of circular inclusion with interfacial cracks and interfacial rigid line embedded in an infinite matrix under the concentrated thermal loadings is considered,and the point heat source or concentrated force located at an arbitrary point inside the matrix and a uniform tensile load applied at infinity. Using symmetry principle of complex functions,the above problems are transformed into Riemann boundary problems.By combining the complex potential theory of sectionally holomorphic function, the analysis of singularity of complex functions,generalized Liouville's theorem,Cauchy model integral and residue theorem,the general temperature and stress field's soulutions of above problems.For special example,the solution in closed form for complex potentials of temperature and stress in matrix and inclusion are derived when interface containing single crack or rigid line,and the analytic expressions of intensity factors at the tip of crack and the stress singularity coefficients of rigid line are examined.The result of this paper could not only be considered as mechanics model of practical problems, and also the corresponding solution under the distributed heat source or distributed load can be derived if being used as the Green's function. As the special case of this paper, it contains several existing solutions in this paper.The whole paper consists of five chapters. In the first chapters,the development and history of composite materials as well as investigations at the present time is depicted briefly, at the same time the study of themoelastic problem for the inclusion is gave,finally it summarized the primary content and significance of the studies. In the second chapter,the complex potential method about themoelastic problem and theorem used in the paper are introduced probably. In the third chapter, the themoelastic problem of circle inclusion containing interfacial cracks is derived. In the fourth chapter, the themoelastic problem of circle inclusion containing interfacial rigid line is derived.In the fifth chapter, The plane elastic problem of circular-arc rigid line inclusions is considered,which is subjected to remote general loads and...