| Summary: | 博士 === 國立中興大學 === 應用數學系 === 88 === The main purpose of this thesis is to explore the influence of stress that is caused by composite material in local area. We consider this case in a more precise and simpler way and approach this topic with some different models. Above all,often the local stresses of the desired problem model are computed, we may obtain a series of eigenvalues according to the necessary boundary conditions located in the crack position. If we substitute the eigenvalues into governing equations, the undetermined solution is obtained. Deciding the undetermined coefficients by the result of the finite element method or boundary element method on this problem, we get the singular solution of crack-tip. Furthmore, how outside pressure affects composite material is also investigated. Not only the influence caused by external force, but also the variation of temperature has been taken into consideration. In the conclusion, we make a comparison and find that the result is approaching the solution of numerical method (finite element method). Therefore, approve that the new method is much simpler and more accurate.
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