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Microstructure-Properties - Materials Science and Engineering

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15<br />

Objective<br />

Linear<br />

Ferromagnets<br />

Non-linear<br />

properties<br />

Electric.<br />

Conduct.<br />

Tensors<br />

Elasticity<br />

Symmetry<br />

Relationships between coefficients:<br />

C in terms of S<br />

Some additional useful relations between coefficients<br />

for cubic materials are as follows. Symmetrical<br />

relationships exist for compliances in terms of<br />

stiffnesses (next slide).<br />

C 11 = (S 11 +S 12 )/{(S 11 -S 12 )(S 11 +2S 12 )}<br />

C 12 = -S 12 /{(S 11 -S 12 )(S 11 +2S 12 )}<br />

C 44 = 1/S 44 .

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