A Method of Solving One-Dimension Rigid-Thermo-Visco-Plastic Flow with Cylindrical Symmetry
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摘要: 根据轴对称一维流动的控制方程,采用刚塑性流体假设,将偏微分方程组化为一阶常微分方程组,从而可引入热粘塑性本构关系。利用成熟的一阶常微分方程组解法求解。文中还对厚壁圆管承受外压作用下塌缩运动情况、应力分布、温度分布进行了计算。Abstract: 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.
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Key words:
- one-dimension plastic flow /
- thermo-visco-plasticity /
- rate of strain
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