Expression of strain tensor in orthogonal curvilinear coordinates

Expression of strain tensor in orthogonal curvilinear coordinates

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Based on an analysis of connotation and Tea Lights 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 Inline - Protective - Fitness Gear 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.