Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
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 .