Two-point Tensor

Two-point Tensor

Two-point tensors, or double vectors, are tensor-like quantities which transform as vectors with respect to each of their indices and are used in continuum mechanics to transform between reference ("material") and present ("configuration") coordinates. Examples include the first Piola-Kirchhoff stress tensor.

As with many applications of tensors, Einstein summation notation is frequently used. To clarify this notation, capital indices are often used to indicate reference coordinates and lowercase for present coordinates. Thus, a two-point tensor will have one capital and one lower-case index; for example, AjM.

Read more about Two-point Tensor:  Continuum Mechanics, The Transformation Law For Two-point Tensor, The Most Mundane Example of A Two-point Tensor, See Also