Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
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6<br />
Objective<br />
Linear<br />
Ferromagnets<br />
Non-linear<br />
properties<br />
Electric.<br />
Conduct.<br />
Tensors<br />
Elasticity<br />
Symmetry<br />
Elastic Anisotropy: 2<br />
The definitions of the stress <strong>and</strong> strain tensors mean<br />
that they are both symmetric (second rank) tensors.<br />
Therefore we can see that<br />
ε 23 = S 2311 σ 11<br />
ε 32 = S 3211 σ 11 = ε 23<br />
which means that,<br />
S 2311 = S 3211<br />
<strong>and</strong> in general,<br />
S ijkl = S jikl<br />
We will see later on that this reduces considerably the<br />
number of different coefficients needed.