Dyadic tensor Guide, Meaning , Facts, Information and Description

A dyadic tensor is a second rank tensor written in a special notation, formed by juxtaposing pairs of vectors, i.e. placing pairs of vectors side by side.

Each component of a dyadic tensor is a dyad. A dyad is the juxtaposition of a pair of basis vectors and a scalar coefficient.

As an example, let and be a pair of two-dimensional vectors. Then the juxtaposition of A and X is

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The identity dyadic tensor in three dimensions is i i + j j + k k. The dyadic tensor j i - i j is a 90 degree rotation operator in two dimensions. It can be dotted (from the left) with a vector to produce the rotation:

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