A Method of Solving One-Dimension Rigid-Thermo-Visco-Plastic Flow with Cylindrical Symmetry

Assuming the material incompressible, the partial differential control equations of one-dimension cylindrical flow can be reduced into the ordinary differential equations. These equations can then be solved by using available method for ordinary differential equations. As an example, the collapse of a copper pipe subjected to external inward compressions were analyzed with a thermo-visco-plastic constitutive relation and its velocity, stress and temperature fields were also shown in the paper.