Determination of thermal-stressed state of inhomogeneous orthotropic cylindrical shell under thermal heating

Abstract

Systems of initial equations of the nonstationary problem of heat conductivity and the quasistatic problem of thermoelasticity for an inhomogeneous orthotropic cylindrical shell under its thermal heating by the external environment are recorded. Using double finite integral Fourier transforms in spatial coordinates and the Laplace transform over time, we obtained general solutions to the formulated thermoelasticity problems for a given finite hinged supported at the shell edges.