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OALib Journal期刊
ISSN: 2333-9721
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EXPRESSION OF STRAIN TENSOR IN ORTHOGONAL CURVILINEAR COORDINATES
正交曲线坐标系应变张量的普适表达

Keywords: Cartesian coordinates,orthogonal curvilinear coordinates,moving trihedron,strain tensor,general expression
笛卡儿坐标系
,正交曲线坐标系,局部标架,应变张量,普适表达式

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Abstract:

When the Lame coefficient and unit vector which characterize the strain tensor of Cartesian coordinates are given anew and substituted into orthogonal curvilinear coordinates it is found that the strain tensor in Cartesian coordinates is the function of Lame coefficient and unit vector.Using the transformation matrix between the Cartesian coordinates and orthogonal curvilinear ones we have deduced the mathematical expression of the corection for the displacement differential of orthogonal curvilinear coordinates and given the genenal expression of the strain tensor in this coordinates.

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