肖建华^*， 王晶晶

（  河南理工大学测绘学院,焦作,454000；  ）

摘要： 按高斯曲面理论，弯曲曲面上的线元有两个几何不变量：长度平方和曲率。变形前后长度的变化被用来定义应变，而曲率的变化则可由Stokes反对称应变来近似。陈至达理性力学把Stokes和分解推广为适用于大变形大弯曲的一般性和分解形式。其中的局部转动角概念是本文论述的主题。本文把作者近10年来对这个概念的研究成果用通俗的矢量概念表达出来，希冀推动理性力学在我国的工程化应用研究工作。
关键词： 关局部转动;应变与转动的直和分解;曲面弯曲变化;理性力学

Xiao Jianhua^1,*， Wang Jingjing^2,

（  1、Measurement Institute Henan Polytechnic University,Jiaozuo ,454000；       2、Measurement Institute Henan Polytechnic University,Jiaozuo,454000；  ）

Abstract： Basen on Gauss curve surface theory, the finite length line on surface has two intrinsic invariants: distance square and curvature. For a deformation, the variation of length is used to define the strain, while the curvature is approximated by Stokes strain. Chen Zhi-Da rational mechanics theory extends the Stokes additive decomposition into general form to suit large deformation with large local rotation cases. The local rotation concept is the main topic for this paper. After near 10 years researches, the author gets the easy to understand interpretation about local rotation concept by the means of conventional vector language. It is hopping that the related engineering application researches can be boomed in our country.

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