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In this dissertation, optimum stream-lined die length of axisymmetric steady-state extrusion processes will be investigated by adopting the penalty rigid-viscoplastic finite element method. In additional, we take the thermal coupled effect into consideration. The die profile is presented by a third-order polymonial , which simplifies the optimal process so that we can concentrate on the influence of temperature. In the thesis, the material AL1100(a) which exhibits the obvious change of material properties as its temperature differs is chosen to indicate the interesting results of va- riation of optimal die length when we analyze thermal coupled extrusion process. The primary factors including air convection coefficient, extrusion ratio, and friction factor will be discussed further.
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