材料期刊网

按照Voigt,Reuss和Hill等人的平均法,结合织构加权函数,计算了具有高法向塑性各向异性和低平面塑性各向异性的冷轧和冷轧后退火磷钢板材的弹性性质。将板材平面上各个方向的杨氏模量的计算值与用超声法测定的实验值进行了比较。结果表明,Hill平均值最接近实际情况,Voigt平均值比实际测定值偏高,而Reuss平均值则偏低,本文对有关的计算步骤做了详细的叙述,在附录中还提供了计算的例子,以便有助于冶金学家、工程师和高等学校学生熟悉在进行这类研究时可能用到的数学处理。

The elastic properties of as-cold-rolled and of the subsequently annealed sheets of a phosphorus steel having high normal plastic anisotropy and low planar plastic anisotropy have been calculated according to the averaging procedures of Voigt, Reuss, and Hill incorporated with texture-weighting functions. The calculated values of Young's modulus in the various directions lying in the plane of the sheet were compared with those determined experimentally by ultrasonic measurements. Results indicate that the Hill averages are very close to reality, whereas the Voigt and Reuss averages are somewhat too high and too low, respectively, in comparison with experimentally measured values. This paper has been prepared to help familiarize metallurgists, engineers and students with the mathematical treatments that can be used for such studies. The procedures used for the calculations are described in detail, and examples of calculations are proveided in the Appendix.