Tensor Derivative (continuum Mechanics) - Derivative of The Second-order Identity Tensor

Derivative of The Second-order Identity Tensor

Let be the second order identity tensor. Then the derivative of this tensor with respect to a second order tensor is given by

$\frac{\partial \boldsymbol{\mathit{1}}}{\partial \boldsymbol{A}}:\boldsymbol{T} = \boldsymbol{\mathsf{0}}:\boldsymbol{T} = \boldsymbol{\mathit{0}}$

This is because is independent of .

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