The Non-Stationary 3D Coupled Problems of the Theory of Thermo-Plasticity

摘要

A new effective method for solution of three-dimensional coupled problems of the theory of thermo-plastisity, which proposed in work [3], for case non-stationary loading of solids with concentrators is proposed.The numerical solution is based on the application to complete simultaneous differential equations (equation of motion, geometrical correlation, physical equations, equation of heat-conduction, where the heat source is stipulated cyclically by varied load and that depends of a stress tenzor and deformations) the method of decomposition which the unknown values (displacement velocity vector, stress tensor, deformation tenzor and temperature) given at each step in the form of strengthing splines [1,2]. In the capacity as example the problem about definition strained-deforming state of preliminary stretched tube and with circular-fronted notch by cyclic turn of small amplitude are presented. The problem is deciding take into consideration evolution of near section for deformation process. This method gives the third order of accuracy on coordinates.