ENGINEERING METHOD OF SOLVING NONSTATIONARY PROBLEM OF THE THERMAL CONDUCTIVITY OF A DEFORMABLE ELASTOMERIC PLATE

The article presents an approximate (semianalytical) solution of the one-dimensional nonstationary problem of the thermal conductivity of a uniformly deforming plate (shell) under time-dependent boundary conditions of the third kind, obtained using the proposed piecewise integral heat balance method. It is shown that a change in the thickness of the plate (shell) on deformation aff ects not only the quantitative, but also the qualitative behavior of temperature and heat fl ux at diff erent points of the plate. It has been established that with an increase in the frequency of temperature fl uctuations on the inner surface of the plate, thermal disturbances penetrate into the plate to a shorter distance
The article presents an approximate (semianalytical) solution of the one-dimensional nonstationary problem of the thermal conductivity of a uniformly deforming plate (shell) under time-dependent boundary conditions of the third kind, obtained using the proposed piecewise integral heat balance method. It is shown that a change in the thickness of the plate (shell) on deformation aff ects not only the quantitative, but also the qualitative behavior of temperature and heat fl ux at diff erent points of the plate. It has been established that with an increase in the frequency of temperature fl uctuations on the inner surface of the plate, thermal disturbances penetrate into the plate to a shorter distance
Author:  V. S. Korneev, S. A. Korneev, V. V. Shalai
Keywords:  one-dimensional nonstationary thermal conductivity, highly elastic plate, large deformations, integral heat balance method
Page:  1697