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GEOMETRIC ANALYSIS OF FINITE STRAIN TENSORS IN TECTONODEFORMATION MECHANICS

GEOMETRIC ANALYSIS OF FINITE STRAIN TENSORS IN TECTONODEFORMATION MECHANICS
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摘要 According to the peculiarities of tectonodeformation this paper systematically researches the graphic method of finite strain theory in tectonomechanics, proposes a geometrical analytic method describing the strain state of a point with metric tensor, expounds and proves the structure of deformation gradient circle, and clearly illustrates the relations of various quantities in polar decomposition theory. Finally, a simple shear deformation which often occurs in tectonodeformation was calculated through various different methods in order to explain and to compare the peculiarities among various graphic methods of finite strain. According to the peculiarities of tectonodeformation this paper systematically researches the graphic method of finite strain theory in tectonomechanics, proposes a geometrical analytic method describing the strain state of a point with metric tensor, expounds and proves the structure of deformation gradient circle, and clearly illustrates the relations of various quantities in polar decomposition theory. Finally, a simple shear deformation which often occurs in tectonodeformation was calculated through various different methods in order to explain and to compare the peculiarities among various graphic methods of finite strain.
作者 韩玉英
出处 《Science China Chemistry》 SCIE EI CAS 1992年第1期102-116,共15页 中国科学(化学英文版)
基金 Project supported by the National Natural Science Foundation of China
关键词 DEFORMATION gradient metric TENSOR POLAR decomposition theory finite strain circle simple SHEAR deformation. deformation gradient, metric tensor, polar decomposition theory, finite strain circle, simple shear deformation.
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