Bounds and exact solutions for the torsional rigidity of composite shafts with imperfect interfaces
碩士 === 國立成功大學 === 土木工程學系碩博士班 === 96 === Under different kinds of imperfect interfaces, we derive upper and lower bounds for the torsional rigidity of cylindrically shafts with arbitrary cross-section containing a number of coated fibers with circular cross-section by variational principles. At the i...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/69396375630954058891 |
| Summary: | 碩士 === 國立成功大學 === 土木工程學系碩博士班 === 96 === Under different kinds of imperfect interfaces, we derive upper and lower bounds for the torsional rigidity of cylindrically shafts with arbitrary cross-section containing a number of coated fibers with circular cross-section by variational principles. At the interfaces between the different materials two kinds of imperfect interfaces are considered for the Saint-Venant torsion problem of composite shafts: one which models a thin interphase of low shear modulus and one which models a thin interphase of high shear modulus. Both types of interface will be characterized by an interface parameter which measures the stiffness of the interface. We find that when an additional constraint in the outer interface is fulfilled, the upper and lower bounds will coincide. Furthermore, we deduce the bounds and exact solution for the torsional rigidity of composite shafts containing a number of multi-coated fibers based on the previous derivation.
In addition, the interface parameter varying along the interface will be considered to fulfill the conditions of the existence of the exact torsional rigidity for the different shapes of the shaft.
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