Calculation of the Solid-elastic Stress Field with the Finite Difference Method

In order to investigate the conjugated calculation of fluid-thermal-elasticity in turbine engine with the full finite difference method. The physics model of solid-elasticity for numerical simulation is studied. The governing equation in curvilinear coordinate system is derived. The finite difference method and the boundary condition under steady-state conditions are investigated. And the code to solve stress field under steady-state conditions is programmed. The cantilever girder with a uniformity load and curvature girder with a concentrated load are calculated to validate the capability of the code to solve the stress field of solid elasticity. The numerical results which has the second order precision boundary conditions are well match the analytic result,although the result of which has the once order precision boundary conditions showed big difference from the analytic result.