Sep 20, 2020 · A second-order tensor is comprised at least of a two-dimensional matrix, as an nth-order tensor is comprised at least of an n-dimensional matrix, but what else is in the formal …

Mar 4, 2012 · Understanding of tensor mathematics, specifically third-order and second-order tensors. Familiarity with the concept of tensor contraction and its application in vector …

Aug 24, 2008 · The discussion centers on the gradient of a vector field, specifically the mathematical expression for the gradient as a second-order tensor, defined as (\boldsymol …

Oct 15, 2025 · Covariant, Contravariant, and Mixed components of a second-order tensor Ask Question Asked 2 months ago Modified 2 months ago

Oct 8, 2017 · When given a vector $\\overrightarrow V$ = $(x, x+y, x+y+z)$. Find the second order antisymmetric tensor associated with it. This problem needs to be solved in cartesian …

Sep 7, 2021 · Also what is the meaning of that comma in the index for the tensor - it is not anywhere included in the definition of $T$. An explanation of how to generally find the …

Tensor derivatives of a second order tensor function with respect to itself Ask Question Asked 11 years, 8 months ago Modified 10 years, 9 months ago

Mar 13, 2021 · The mistake here is that you can't be given a second order tensor without its transformation law, the two go together. The transformation law in effect defines the second …

Sep 13, 2020 · It's hard to have terminology for every way to multiply tensors. In general, a rank r r tensor and a rank s s tensor can be multiplied with the contraction of anywhere from 0 0 to …

Apr 24, 2007 · Is the matrix of a second order symmetric tensor always symmetric (ie. expressed in any coordinate system, and in any basis of the coordinate system)? Please help! ~Bee Yes. …