Dynamic response of a hollow cylinder subjected to thermal shock considering scale effect and memory dependent effect

Abstract

Based on the generalized nonlocal thermoelastic theory and the memory-dependent differential (MMD) theory, the dynamic response of the inner surface of an infinite hollow cylinder under thermal shock is investigated. The heat transfer coefficient varies linearly with the temperature, the outer surface of the hollow cylinder is insulated, and there is traction-free on the inner and outer surfaces. The governing equation of the problem is established, and the Laplace transform is used to solve the governing equation, and the distribution law of physical quantity is expressed by the modified Bessel function. In the numerical calculation, the influence of non-local parameters is firstly studied. Second, the influence of different thermal conductivity on various physical quantities is studied. Finally, the effects of time delay factor and kernel function on physical quantities are studied. The results show that the non-local parameters have little effect on temperature, but have significant effect on displacement and stress. The change of thermal conductivity has obvious influence on temperature, displacement, and stress. The hysteresis factor affects the extremum of a physical quantity.