Retrieved from Iss. 115, P. 1, 2024
Pages 67 -80
Received 22.10.2023
Revised 19.02.2024
Accepted 27.03.2024
Retrieved from Iss. 115, P. 1, 2024
Pages 67 -80
Abstract
A theoretical study of the effects of nucleation of intrastructural thermal stresses in polymer materials reinforced with carbon nanotubes, caused by thermomechanical incompatibility of materials, was performed. Differential equations of its thermoelastic interaction with epoxy, polyamide, phenolformaldehyde, polyester, polycarbonate, polystyrene, and polypropylene media in uniform and non-uniform temperature fields were constructed on the basis of modeling of a nanotube with an elastic cylindrical shell with aggregated values of thickness, modulus of elasticity, Poisson's ratio, and coefficient of linear thermal expansion. The solutions of these equations are found in closed form. The distribution functions of thermal stresses in the matrix medium and thermal forces in the nanotube wall are constructed. It was demonstrated that the thermal stresses in the matrix medium have the form of concentrators on the interface surface between the phases of the system and decrease inversely proportional to the square of the distance to the axis of the nanotube. It is shown that the intensities of these thermal stresses increase with increasing incompatibility of the thermomechanical parameters of the system phases
Keywords:
carbon nanotubes, polymer materials, thermomechanical incompatibility, intrastructural thermal stresses, mathematical modeling, stress concentrators