Articles in the Tensor algebra category

In a previous post, I introduced the fourth-rank spherical and deviatoric projection tensors. Any isotropic fourth-rank tensor is a linear combination of these two tensors; in other words, the space of isotropic fourth-rank tensors (with minor and major symmetries) is of dimension 2. Similarly, it can be shown (Walpole, 1984 …

The double dot product of two tensors is the contraction of these tensors with respect to the last two indices of the first one, and the first two indices of the second one. Whether or not this contraction is performed on the closest indices is a matter of convention. In …