| Summary: | 碩士 === 國立臺灣科技大學 === 營建工程系 === 87 === Abstract
This research applies the method of multi-region boundary element to investigate the relation among the thermal stress intensity factors, material characteristics, and the crack lengths when the interface cracks are subjected to various temperature loadings.
For the problem of interface cracks subjected to temperature distributions, first of all, the problem is separated into homogeneous and particular problems. The particular solutions is obtained by expanding the first order derivative of the temperature loading into Fourier series. Then by inserting the obtained particular solutions, the homogeneous solutions is evaluated by the thermal multi-region boundary element. Finally, the complete solutions can be obtained by summing the homogeneous and particular solutions.
In this thesis, two kinds of temperature loadings are considered: (1) the temperature distribution can be expressed by an function; (2) the temperature or the temperature gradients have been known only on the boundary. For part (1), the derivative of the known function is expanded into Fourier series and then the corresponding displacement and traction fields are obtained. For part (2), the potential boundary element method is used to evaluate the temperature gradients of interior points, and then repeat the procedure of part (1) to obtain the particular solutions.
Finally, results which are compared with those of references indicate that the program of thermal multi-region boundary element can exactly analysis thermal stress intensity factors of cracks in one material. The proposed program is also applied to the interface cracks due to the thermal loading. The relation of thermal stress intensity factors and the characteristics of bimaterials as well as the crack lengths is under consideration.
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