| Summary: | 碩士 === 國立成功大學 === 航空太空工程學系 === 104 === Because of their excellent mechanical, electrical, thermal and other properties, graphene and carbon nanotube are popular materials for research in recent years. One of the important applications is adding them into composite materials to enhance the material’s mechanical properties. To understand their ability to resist the failure, we have to acquire their fracture toughness first. Because of the small scale, cost and quality of manufacture, etc, conducting experiments on them physically is rather rare; instead, computer simulation is widely used. Most of the popular methods are building up molecular models of graphene and carbon nanotube and applying molecular dynamics to determine their fracture toughness. This article tries a different way: by using finite element software ANSYS, first build up molecular models of graphene and carbon nanotube and find out their mechanical properties; second, build up a plane and a cylindrical shell model, each for graphene and carbon nanotube (both are continuum model), then apply the properties we found from molecular models previously; third, apply fracture mechanics on the continuum models. In the end, the fracture toughness of graphene and carbon nanotube determined by this method are both 3.37MPa√m.
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