伸缩张量率的抽象表示

THE ABSTRACT REPRESENTATION OF RATES OF STRETCH TENSORS

本文用“主轴内蕴法”给出右-左伸缩张量 U 和 V 的时间导数 U 和 V 的抽象表示。文中引进所谓“分离技巧”,使能有效地应用张量函数的标准表示。V 的表达式是新的。还给出U 和 V 的两个新关系式。

The present paper provides the representation for time derivatives U andV of right-and left stretch tensors U and V by means of principal-axis intrinsic method. The so-called 'separation technique' introduced in this paper enables to use effectively standard representations of tensor functions. The expression for V is new. Two new relations between U and V are given as well.