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.
9<br />
Objective<br />
Linear<br />
Ferromagnets<br />
Non-linear<br />
properties<br />
Electric.<br />
Conduct.<br />
Tensors<br />
Elasticity<br />
Symmetry<br />
“matrix notation”<br />
• It is useful to re-express the three quantities<br />
involved in a simpler format. The stress <strong>and</strong><br />
strain tensors are vectorized, i.e. converted<br />
into a 1x6 notation <strong>and</strong> the elastic tensors are<br />
reduced to 6x6 matrices.<br />
"<br />
$<br />
#<br />
! 1 1 ! 1 2 ! 1 3<br />
! 2 1 ! 2 2 ! 2 3<br />
! 3 1 ! 3 2 ! 3 3<br />
%<br />
' ( )<br />
'<br />
&<br />
*<br />
"<br />
$<br />
#<br />
( * ) ( ! 1,! 2,! 3,! 4,! 5,! )<br />
6<br />
! 1 ! 6 ! 5<br />
! 6 ! 2 ! 4<br />
! 5 ! 4 ! 3<br />
%<br />
'<br />
&
Change language