In The Continuum Mechanics of Solids
Several important results in continuum mechanics require the derivatives of vectors with respect to vectors and of tensors with respect to vectors and tensors. The directional directive provides a systematic way of finding these derivatives.
The definitions of directional derivatives for various situations are given below. It is assumed that the functions are sufficiently smooth that derivatives can be taken.
Read more about this topic: Directional Derivative
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... Then the derivative of with respect to (or at ) in the direction is the fourth order tensor defined as for all second order tensors ...
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