So if I understand this correctly, in order to get "i-th" component of a vector you have to take i-th "slice" of third-order tensor and multiply it with second order tensor: not in the standard way we multiply matrices, but rather just multiply j,k-th component of both tensors and sum over all...
Hi,
I have read that vector of polarisation \vec{P} and stress tensor T are linked with equation
\vec{P}=\underline{\underline{d}} \: \underline{T}
where d is a third-order piezoelectric tensor. Can anyone explain how you multiply a third and a second-order tensor to get a vector? A good link...