Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7151972 | Acta Mechanica Solida Sinica | 2016 | 14 Pages |
Abstract
This paper reports a new derivative in the Eulerian description in flat space-the generalized covariant derivative with respect to time. The following contents are included: (a) the restricted covariant derivative with respect to time for Eulerian component is defined; (b) the postulate of the covariant form invariability in time field is set up; (c) the generalized covariant derivative with respect to time for generalized Eulerian component is defined; (d) the algebraic structure of the generalized covariant derivative with respect to time is made clear; (e) the covariant differential transformation group in time filed is derived. These progresses reveal the covariant form invariability of Eulerian space and time.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Yajun Yin,