ABSTRACT

In this work we propose the model of hyperthin two-dimensional medium with potential energy defined only by the surface potential energy. For the modelling we use the generalized adhesion theory of Gurtin-Murdoch of common possible properties of the adhesion interactions (adhesion tensor modulus) determined by four parameters. The feature of this model is connected with two additional modulus compared to Young-Laplace model. Based on the introduced above two-dimensional medium, we propose the single wall nanotubes (SWNTs) model. We show that the parameters of the CNT model describe flexural rigidity on infinitely thin structural system and predict the possible extremely high flexural characteristics of ultrafine structures. As a result, a model of SWNT represents the version of generalized semi-membrane theory of shells with non-zero bending properties of SWNT and boundary effects.