Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green's function method.

This article deals with the exact thermo-mechanical static responses of a curved circular beam by Green's function method. To find the solution, the related governing differential equations are found using the Hamilton's principles. They are combined into two six-order ordinary inhomogeneous differential equations. To form the Green's problem, the adjoint differential operator along with corresponding boundary conditions is found from the inner product calculations. It is noteworthy that the lateral temperature distribution leads to both in-plane and out-of-plane deformations. This important point has not been mentioned in the previous studies. Moreover, the radially distributed temperature results in no out-of-plane displacements. Finally, the answers of some numerical tests confirmed the accuracy of the proposed solution method. [ABSTRACT FROM AUTHOR]