| Abstract: | A structural method is proposed to construct one class of analytical solutions of three-dimensional thermoelastic-equilibrium
equations for rectilinearly orthotropic plates. This method allows us to establish the analytical structure of a partial solution
of the inhomogeneous equations of thermoelastic equilibrium for orthtropic plates based on the known analytical structure
of a temeprature field (found by solving the corresponding boundary-value problem of the stationary theory of thermoelasticity).
The well-known solution of inhomogeneous equations of thermoelastic equilibrium for transversely isotropic plates follows
from the obtained exact solution as a partial case. The exact general solutions of the three-dimensional homogeneous equations
of elastic equilibrium are also presented. Their analytical structure is similar to the constructed partial solution corresponding
to the known temperature field.
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 1, pp. 78–87, January, 2000. |
