实心圆轴扭转问题中的旋率分析

Analysis of spins in torsion with cylindrical specimens

给出由实心圆轴扭转实验标定大变形本构关系时的各种旋率张量。由于实心圆试件在扭转过程中变形具有较好的均匀性,所以用于标定大变形本构关系问题比拉伸试验更为合理。在圆柱坐标系下讨论实心圆轴扭转试验中用于表述客观应力率张量的各种旋率形式,给出有意义的理论结果。扭转问题中旋率的分析为今后建立基于扭转试验的各种大变形本构关系打下基础。

In this paper several spins of the large strain constitutive relation based on torsion test with cylindrical specimens are studied and the expressions of these spins are derived, which is more suitable to analyzing large strain constitutive relation than tension test because of its uniform deformation. The spins in torsion test with cylindrical specimens are received in cylinder coordinate axis. Some meaningful theoretical results are obtained and the results of this literature are basis of discussing the large strain constitutive relationship based on torsion test with cylindrical specimens in future.