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Microstructure-Properties - Materials Science and Engineering

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14<br />

Objective<br />

Linear<br />

Ferromagnets<br />

Non-linear<br />

properties<br />

Electric.<br />

Conduct.<br />

Tensors<br />

Elasticity<br />

Symmetry<br />

Tensor conversions: compliance<br />

• For compliance some factors of two are<br />

required <strong>and</strong> so the rule becomes:<br />

pS = S ijkl mn<br />

p =1 m AND n " [ 1,2,3 ]<br />

p = 2 m XOR n " [ 1,2,3 ]<br />

p = 4 m AND n " [ 4,5,6]

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