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Time Rates of Hill's Strain Tensors
Authors:Dui Guan-Suo  Dui Guan-Suo  Ren Qing-Wen  Shen Zhu-Jiang
Institution:(1) Department of Civil Engineering and Mechanics, Nanjing University of Science and Technology, Nanjing, 21094, P.R, China;(2) Civil Engineering, Hohai University, Janjing, 210098, P.R, China
Abstract:Based on Hill's principal components formulae, two kinds of basis-free time rate formulae for Hill's strain tensors are proposed in this paper, which are obtained for the cases of distinct stretches, double coalescence and triple coalescence. Furthermore, relations between the coefficients in the representation for the strain tensor and its time derivative are disclosed. This revised version was published online in August 2006 with corrections to the Cover Date.
Keywords:Hill's strain  stretch tensor  time rate  
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