A dynamic thermoelastic solution of a cylindrically isotropiccylindrical tube or solid cylinder with axisymmetric planedeformations is developed. Since there exist thermal boundaryconditions and trac- tions on the two...A dynamic thermoelastic solution of a cylindrically isotropiccylindrical tube or solid cylinder with axisymmetric planedeformations is developed. Since there exist thermal boundaryconditions and trac- tions on the two surfaces of a cylindrical tube,the problem under consideration is with inhomogeneous bound- aryconditions. Therefore we introduce a special function to transformthe inhomogeneous boundary conditions to homogeneous ones for anunknown function. They by using the method of separation ofvariables, the un- known function can be expressed as themultiplication series of Bessel functions and unknown time functions.展开更多
基金the National Natural Science Foundation of China (No.10172075 and No.10002016)
文摘A dynamic thermoelastic solution of a cylindrically isotropiccylindrical tube or solid cylinder with axisymmetric planedeformations is developed. Since there exist thermal boundaryconditions and trac- tions on the two surfaces of a cylindrical tube,the problem under consideration is with inhomogeneous bound- aryconditions. Therefore we introduce a special function to transformthe inhomogeneous boundary conditions to homogeneous ones for anunknown function. They by using the method of separation ofvariables, the un- known function can be expressed as themultiplication series of Bessel functions and unknown time functions.
