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New Mathematical Stress Analysis in the Compressive Stage of the High-Pressure Torsion Process
Metals and Materials International ( IF 3.5 ) Pub Date : 2020-10-08 , DOI: 10.1007/s12540-020-00881-9
S. Hadi , F. Rahimzadeh lotfabad , M. H. Paydar , R. Ebrahimi

Abstract

In this study, a mathematical analysis based on the slab method is used to drive a formula to calculate the average hydrostatic pressure in the compressive stage of the HPT process. The analytical method used here leads to a relationship for describing the average hydrostatic pressure as a function of the material shear strength, sample volume, cavity volume and force. Based on the results obtained and by employing the Sturm’s theorem for polynomials, a general expression for the minimum force required to start the deformation of the material under compressive force and creation of flash is developed. The analytical results were confirmed by carrying out some experiments by using commercial pure aluminum and copper as test materials. The experimental results showed good congruence with the analytical calculations. The most important outcome of this analysis is that with an appropriate selection of the sample volume, considering the capacity of the HPT press facility and the proper choice of the die cavity volume, favorable average hydrostatic pressure, necessary for the purpose of application can be achieved.

Graphic Abstract



中文翻译:

高压扭力压缩阶段的新数学应力分析

摘要

在这项研究中,基于平板方法的数学分析被用来驱动公式来计算HPT过程压缩阶段的平均静水压力。此处使用的分析方法导致了一种关系,该关系用于描述平均静水压力与材料抗剪强度,样品体积,模腔体积和力的关系。根据获得的结果,并通过将Sturm定理用于多项式,开发了在压缩力下开始材料变形和产生毛边所需的最小力的一般表达式。通过使用市售纯铝和铜作为测试材料进行一些实验,证实了分析结果。实验结果与分析计算结果吻合良好。

图形摘要

更新日期:2020-10-11
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