Several operations and identities of first and second order tensors are defined below for fast
consulting. The same notation of the main text is used. The capitalized letters (,
,
) refer to tensors and the amount of bars above them identifies the tensor ranking. The
bold lower case letters (
,
) refer to vectors, while the not bold letters are real numbers,
except for
which refer to a real function.
![]() | (A.1) |
![]() | (A.2) |
![]() | (A.3) |
![]() | (A.4) |
![]() | (A.5) |
![]() | (A.6) |
![]() | (A.7) |
![]() | (A.8) |
![]() | (A.9) |
In A.9 the vectors and
are basis of the space of
and
respectively.
![]() | (A.10) |
![]() | (A.11) |
![]() | (A.12) |
![]() | (A.13) |
![]() | (A.14) |
![]() | (A.15) |
![]() | (A.16) |
![]() | (A.17) |
![]() | (A.18) |
![]() | (A.19) |
![]() | (A.20) |
![]() | (A.21) |
![]() | (A.22) |
![]() | (A.23) |
![]() | (A.24) |
![]() | (A.25) |