Symmetric Tensor Article Index for
Symmetric
 

Information About

Symmetric Tensor




A Linear Operator (or second rank Tensor ) ''A'', with components ''Aij'',
is said to be symmetric if
Aij

for all ''i'', ''j''.

Many physical and engineering properties are symmetrical tensors, e.g. Stress and Strain .
Any tensor can be represented as a sum of Symmetric Tensor and Antisymmetric Tensor .
A = A^s + A^a , where
  • (A+A^T)

  • and

  • (A - A^T)

  • where A^T is transposed ''A'':

:A^T_{ij}=A_{ji}