Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
27<br />
Objective<br />
Linear<br />
Ferromagnets<br />
Non-linear<br />
properties<br />
Electric.<br />
Conduct.<br />
Tensors<br />
Elasticity<br />
Symmetry<br />
Anisotropy in terms of moduli<br />
• Another way to write the above equation is to<br />
insert the values for the Young's modulus in<br />
the soft <strong>and</strong> hard directions, assuming that<br />
the are the most compliant<br />
direction(s). (Courtney uses α, β, <strong>and</strong> γ in<br />
place of my α 1 , α 2 , <strong>and</strong> α 3 .) The advantage of<br />
this formula is that moduli in specific<br />
directions can be used directly.<br />
1<br />
E uvw<br />
= 1<br />
E 100<br />
"<br />
! 3#<br />
$<br />
1<br />
E 100<br />
&<br />
E111' ( 2 2 2 2 2 2<br />
1(<br />
2 + (2(<br />
3<br />
+(3 (1<br />
! 1<br />
%<br />
( )
Change language