Page 31 - Introduction to Continuum Mechanics
P. 31
16 Tensors
2B3 Components of a Transformed Vector
Given the vector a and the tensor T, we wish to compute the components of b=Ta from the
components of a and the components of T. Let the components of a with respect to {61,62,63}
6
be [ai, a 2, «al» i- "
then
Thus,
By Eq. (2B2.2), we have,
We can write the above three equations in matrix form as:
