On several new methods to polar decomposition computation |
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Authors: | Huang Mojia Li Ming and Fu Mingfu |
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Institution: | (1) Institute of Engineering Mechanics, Nanchang University, 330029 Nanchang, China |
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Abstract: | In this paper, the polar decomposition of a deformation gradient tensor is analyzed in detail. The four new methods for polar
decomposition computation are given: (1) the iterated method, (2) the principal invariant's method, (3) the principal rotation
axis's method, (4) the coordinate transformation's method. The iterated method makes it possible to establish the nonlinear
finite element method based on polar decomposition. Furthermore, the material time derivatives of the stretch tensor and the
rotation tensor are obtained by explicit and simple expressions.
The authors gratefully acknowledge the support rendered by the National Natural Science Foundation of China and the Natural
Science Foundation of Jiangxi of China in 1998. |
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Keywords: | polar decomposition deformation gradient stretch tensor rotation tensor large deformation and large rotation |
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