Geodesy and Geodynamics (Jan 2010)

Expression of strain tensor in orthogonal curvilinear coordinates

  • Xuyan Liu,
  • Yingfeng Ji,
  • Quanqiang Liang

DOI
https://doi.org/10.3724/sp.j.1246.2010.00048
Journal volume & issue
Vol. 1, no. 1
pp. 48 – 56

Abstract

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Based on an analysis of connotation and extension of the concept of the orthogonal curvilinear coordinates, we have deduced a platform of strain tensor expression of Cartesian coordinates, which turns out to be a function of Lame coefficient and unit vector. By using transform matrix between Cartesian coordinates and orthogonal curvilinear coordinates, we have deduced a mathematical expression for correcting displacement vector differential in orthogonal curvilinear coordinates, and given a general expression of strain tensor in orthogonal curvilinear coordinates.

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