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
This is because is independent of .
Read more about this topic: Tensor Derivative (continuum Mechanics)
Famous quotes containing the words derivative and/or identity:
“Poor John Field!—I trust he does not read this, unless he will improve by it,—thinking to live by some derivative old-country mode in this primitive new country.... With his horizon all his own, yet he a poor man, born to be poor, with his inherited Irish poverty or poor life, his Adam’s grandmother and boggy ways, not to rise in this world, he nor his posterity, till their wading webbed bog-trotting feet get talaria to their heels.”
—Henry David Thoreau (1817–1862)
“Let it be an alliance of two large, formidable natures, mutually beheld, mutually feared, before yet they recognize the deep identity which beneath these disparities unites them.”
—Ralph Waldo Emerson (1803–1882)