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郭仲衡, Th.Lehmann, 梁浩云. 伸缩张量率的抽象表示[J]. 力学学报, 1991, 23(6): 712-720. DOI:10.6052/0459-1879-1991-6-1995-895
引用本文: 郭仲衡, Th.Lehmann, 梁浩云. 伸缩张量率的抽象表示[J]. 力学学报, 1991, 23(6): 712-720.DOI:10.6052/0459-1879-1991-6-1995-895
THE ABSTRACT REPRESENTATION OF RATES OF STRETCH TENSORS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(6): 712-720. DOI:10.6052/0459-1879-1991-6-1995-895
Citation: THE ABSTRACT REPRESENTATION OF RATES OF STRETCH TENSORS[J].Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(6): 712-720.DOI:10.6052/0459-1879-1991-6-1995-895

伸缩张量率的抽象表示

THE ABSTRACT REPRESENTATION OF RATES OF STRETCH TENSORS

  • 摘要: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。

    Abstract: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.

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