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本文对纳达依(Nadai)表达式作了简单的证明,表明它具有严格性,并非是经验性近似表达式。纳达依表达式应用于圆柱形试样扭转试验测定其真实扭转应力。提出一种测定真实扭转应力的简单方法,即图解法。用铝合金、钢和钛合金进行了测定真实扭转应力试验,对用常规的方法测定的名义扭转应力与用基于纳达依表达式的方法测定的真实扭转应力进行了比较。结果表明,在部分塑性扭转状态下的名义扭转应力高于真实扭转应力。两者相差的数量随塑性扭转部分的扩大而增加。对于所试验的铝合金,其名义扭转应力τ_(p0·015)和τ_(p0·03),
This article provides a simple proof of the Nadai expression, which shows that it is rigorous and not an empirical approximation. Nadai expression applied to the cylindrical specimen torsion test to determine the true torsional stress. A simple method to determine the true torsional stress is proposed, ie graphic method. Real torsional stress tests were performed on aluminum alloys, steels and titanium alloys. The nominal torsional stresses determined by conventional methods were compared with the true torsional stresses determined by the method based on the Nadai expression. The results show that the nominal torsional stress at partial plastic torsion is higher than the true torsional stress. The difference between the two increases with the plastic part of the expansion. For the tested aluminum alloy, the nominal torsional stress τ_ (p0 · 015) and τ_ (p0.03)