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arXiv 0811.2234math.DGmath-phmath.MP
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微结构连续统中的协变平衡律

Covariant Balance Laws in Continua with Microstructure

Arash Yavari, Jerrold E. Marsden

摘要:

本文的目的是将Green-Naghdi-Rivlin能量平衡法推广到具有微观结构的连续体。其关键思想是用周围空间的非同态群来代替伽利略变换群。一个关键的优点是,一个人在一个自然的方式获得所有需要的平衡法律在宏观和微观两个层次上,以及两个道尔埃里克森公式。

英文摘要:

The purpose of this paper is to extend the Green-Naghdi-Rivlin balance of energy method to continua with microstructure. The key idea is to replace the group of Galilean transformations with the group of diffeomorphisms of the ambient space. A key advantage is that one obtains in a natural way all the needed balance laws on both the macro and micro levels along with two Doyle-Erickson formulas.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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