THERMAL STRESSES IN ANISOTROPIC AND RADIALLY INHOMOGENEOUS ANNULAR DOMAINS

摘要

This paper presents an analytical approach for construction of solutions to the plane quasi-static, non-axially-symmetric elasticity and thermoelasticity problems for cylindrically anisotropic and radially inhomogeneous hollow cylinders and disks subjected to in-plane external force loadings and temperature distribution. This approach is based upon the direct integration of equilibrium equations, which are independent of material properties. The original problems are reduced to integral equations of Volterra type. By application of the resolvent technique, solutions of the governing integral equations are constructed in explicit form, which is convenient for analysis and appropriate for various kinds of inhomogeneity.