The exact theory of axisymmetric electro-magneto-thermo-elastic circular cylinder

摘要

Without employing ad hoc stress or deformation assumptions, various equations and solutions for circular cylinders are deduced systematically and directly from axisymmetric problem of transversely isotropic electro-magneto-thermo-elastic media. These equations and solutions can be used to construct the exact theory of cylinders. A method for the solutions of two-dimensional equations is presented, and with the method, the exact theory can now be explicitly established from the general solution and Lur'e method. The exact solutions for cylinders with nonhomogeneous boundary conditions are derived directly from the exact theory. Not taking into account the coupling effect, the result reduces to the corresponding solution of the elastic counterpart. Furthermore, an illustrative example studied also indicates that the exact or accurate solutions can be obtained in use of the exact theory. Hence, the results obtained here are considered reliable as a basis for more general applications.