Page 171 - Introduction to Continuum Mechanics
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156 Components of Deformation Tensors in other Coordinates
The components of C can be obtained as:
and the other four components can be easily written down following the patterns of these two
equation.
(C) Spherical coordinate system for both the reference and the current configuration
Let
be the pathline equations. Then using the same procedure as described for the cylindrical
coordinate case, it can derive that the two point components for F with respect to (e^^e^ )
at xand (e^e^e^) atX are given by the matrix
The components of the left Cauchy-Green tensor are:
