Expression of strain tensor in orthogonal curvilinear coordinates

Based on an analysis of connotation and extension of the concept Pill Crushers and Cutters 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 Overshirt tensor in orthogonal curvilinear coordinates.