Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
Microstructure-Properties - Materials Science and Engineering
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10<br />
Objective<br />
Linear<br />
Ferromagnets<br />
Non-linear<br />
properties<br />
Electric.<br />
Conduct.<br />
Tensors<br />
Elasticity<br />
Symmetry<br />
“matrix notation”, contd.<br />
• Similarly for strain:<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 />
The particular definition of shear strain used in the<br />
reduced notation happens to correspond to that used<br />
in mechanical engineering such that ε 4 is the change<br />
in angle between direction 2 <strong>and</strong> direction 3 due to<br />
deformation.<br />
%<br />
'<br />
&<br />
( ) *<br />
"<br />
$<br />
$<br />
#<br />
( * ) ( ! 1,! 2,! 3,! 4,! 5,! )<br />
6<br />
! 1<br />
1<br />
2 ! 6<br />
1<br />
2 ! 5<br />
1<br />
2 ! 6<br />
! 2<br />
1<br />
2 ! 4<br />
1<br />
2 ! 5<br />
1<br />
2 ! 4<br />
! 3<br />
%<br />
'<br />
'<br />
&
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