Theoretical analysis of thermoelastoplastic deformation of a circular plate due to a partially distributed heat supply

摘要

In this article, we consider a circular plate and discuss the transient thermoelastoplastic bending problems making use of the strain increment theorem. In order to develop the analytsis for the temperature field, we introduce the methods of generalized finite Fourier transform and finite Hankel transform. and for the theoretical analysis of thermodelasto- plastic deformation of the plate, we treat the problem as plate bending, which is usually applied to the analysis of thermoelastic defomation. For the thermoelastic deformation, the analytical solution is obtained. On the other hand, for the plastic deformation, the solution is evaluated with the aid of the finite difference method. For the numerical calculations, the strain increment is calculated by successive elastic solution. Some numerical results are shown graphically.