Tensors
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What are tensors?
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Tensor notation
Object
Computer
Index
Hand-written
Voigt notation
1st order tensor (Vector)
u
‾
\underline{\boldsymbol{ u}}
u
u
i
u_i
u
i
u
‾
\underline{u}
u
2nd order tensor
a
\boldsymbol{ a}
a
a
i
j
a_{ij}
a
ij
a
∼
\underset{\sim}{a}
∼
a
a
‾
\underline{ a}
a
4th order tensor
A
\textbf{\textsf{ A}}
A
A
i
j
k
l
\textsf{ A}_{ ijkl}
A
ijk
l
A
≈
\underset{\approx}{A}
≈
A
A
‾
‾
\underline{\underline{\mathsf{ A}}}
A
© Knut Andreas Meyer.
Last modified: April 22, 2024.
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