理性力学中客观性量的广义判别方法

The Generalized Distinction Theorem of Objectivity Quantum in Rational Mechanics

判别理性力学中的客观性量有两种方法,其一,是C.TRUESDELL,郭仲衡等绝大多数理性力学学者所采用的客观性量的判定准则。其二,是R.HILL提出的判定准则。现多数文献采用第一种判定准则并认为:Green变形张量,Green应变张量,变形梯度张量,第一、二类Pio-la—Kirchhoff应力张量,不是客观性量。通过对理性力学中客观性量深入研究,提出了客观性量的广义判定准则和新的论点和论据。根据新的论点,证明上述量应该属于客观性量。

The distinction of objectivity quantum in rational mechanics has two methods：one is the distinction theorem of objectivity quantum used by C. TRUESDELL, GUO Zhong-heng and the other is the distinction theorem proposed by R. HILL. Nowadays, most of the references adopt the first distinction theorem and believes：Green deformation tensor,Green strain tensor, deformation gradient tensor, the first, second kinds of Piola-Kirchhoff stress tensor are not the objectivity quantum. Generalized distinction criterion of the objectivity quantum, the new theorem are proposed in this article. Based on the new theorem,it has proved that it should belong to the objectivity quantum.