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均匀弹性变形的仿射理论
引用本文:刘黎,王金敏.均匀弹性变形的仿射理论[J].天津大学学报(自然科学与工程技术版),1997,30(6):747-755.
作者姓名:刘黎  王金敏
作者单位:天津理工学院,天津大学
摘    要:证明了均匀弹性有可以被概括为仿射变换,并用仿射变换的方法重新研究了二维和三维的均匀弹性变形,推导出了一组无理误差的计算公式,无论大变形和小变形均可使用。

关 键 词:均匀弹性变形  信射变换  弹性力学  弹性变形

AFFINE THEORY OF AFFINE DEFORMATION
Liu,Li,Chen,Jingdou.AFFINE THEORY OF AFFINE DEFORMATION[J].Journal of Tianjin University(Science and Technology),1997,30(6):747-755.
Authors:Liu  Li  Chen  Jingdou
Abstract:It is proved that affine deformation can be summarized as affine transformation; The 2 dimensional and 3 dimensional affine deformations are studied again on the basis of affine transformation. A set of precise formulas which can be applied to both large deformation and small deformation are derived . From the geometric point of view this paper can be generatized as the further study of ellipse and ellipsoid.
Keywords:affine  deformation    affine  transtormation    ellipse  ellipsoid  
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