| Summary: | 碩士 === 國立成功大學 === 機械工程學系碩博士班 === 101 === The end effects of a two-layer circular tube subjected to end torsion are studied in this thesis. Both layers are made of functional graded materials and their properties are assumed to be cylindrically orthotropic. The twisting moment is simulated by applying uniform shear stress on the end surface. All the formulations are derived by employing the state space method and eigen-function expansion to obtain the closed form expressions of displacements and shear stresses. An anisotropic index ki(i=1,2) defined as the ratio of shear moduli are assigned to study the influence of the orthotropy on the end effects. The results of shear stresses obtained have been compared well with the solutions of so-called Saint-Venant’s torsion. Several factors, such as the anisotropic index, nonhomogeneous parameter, the types of applied surface tractions, and continuous parameter s, are then considered to discuss the decay of shear stresses starting from the end of the tube.
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