Abstract
This paper presents a modified ‘stick-spiral’ model based on molecular mechanics to study the effect of thermal environment on elastic properties of carbon nanotubes (CNTs). At the same time, a closed form formulation is derived for Young's modulus as a function of the length of CC bonds and the out-plane displacement. The results show that the Young's modulus of both armchair and zigzag CNTs decreases with the increase of temperature, but the Poisson's ratio is independent of temperature. The temperature-dependent Young's modulus increases with the increase in tube diameter. It's also found that the out-place displacement attributed by temperature will lead to the surface Young's modulus decreases when temperature rises. According to the principle of elasticity theory, a temperature-dependent continuum shell model of strain energy is also established.
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