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Interfacial characteristics of a carbon nanotube–polystyrene composite system
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14.To calculate radial stress using the concentric cylinder model, the elastic modulus in the radial direction of CNT, needs to be known. From Lu (Ref. 15), of single wall CNT and multiwall CNT are calculated to be 0.397 and 0.41 TPa, respectively. is related to by From data of graphite crystal (Ref. 11), the contribution from the second term of the previous equation is very small therefore for single-wall and multiwall CNT are taken as 0.39 and 0.41 TPa in our calculations. Here is the stiffness coefficient in the axial direction of the tube while is that in the direction of the basal plane.
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16.The total work done, in pulling out the carbon nanotube from the polymer matrix can be related to the interfacial shear stress, by the relation or where and are the outer radius and length of the carbon nanotube, respectively, and is the coordinate along the longitudinal tube axis.
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