The heat conduction problem for orthotropic shells with a system of cuts

Abstract

Using the Fourier integral method we have solved the heat conduction problem for an orthotropic shell of arbitrary Gaussian curvature with a system of thermally insulated cuts. In the process we have taken account of heat ezchange on the lateral surfaces of the shells.We have studied the influence of the anistropy properties of the material on the distribution of the perturbed temperature field. Using the ezample of a system consisting of two cuts we have studied the dependence of jumps in the integral characteristics of the temperature on the relative locations of the cuts. 2 Figures. Bibliography: 7 titles.

The heat-conduction problem for a shell with a system of diathermanous cuts

“…where ~bl = O[Ti]/Os, BI = B2 = A,,ll/A0, 133 = f14 = A,,2I/A0, 6ij is the Kronecker symbol, and IT3] and [T4] are the jumps in mean temperature and temperature moment at the second cut. The kernels and the right-hand sides of system (6) are given in [5]. The unknown functions of Eqs.…”