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U. Glaeser

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FIGURE 47.8 Definition of canonical coordinates of the equivalent critical area for shorts (a) and opens (b).<br />

of s = max( Y11, Y12) − min( Y21, Y22), can be obtained by making use of the following expressions [33]:<br />

but, in the case of s = max( X11, X12) − min( X21, X22), by making use of the expressions [33]:<br />

© 2002 by CRC Press LLC<br />

x 1<br />

x 2<br />

2As max(X 11 , X12 )<br />

0( x)<br />

=<br />

– ----------------x–<br />

s<br />

2As<br />

min(X 21 , X22 )<br />

0( x)<br />

-----------------<br />

=<br />

+ x– s<br />

y1 = min(Y 21 , Y22 ) – ( x/2 – s)<br />

y2 = max(Y 11 , Y12 ) + ( x/2 – s)<br />

x1 = min(X 21 , X22 ) – ( x/2 – s)<br />

x2 = max(X 11 , X12 ) + ( x/2 – s)<br />

y 1<br />

y 2<br />

2As max(Y 11 , Y12 )<br />

0( x)<br />

=<br />

– ----------------x–<br />

s<br />

2As<br />

min(Y 21 , Y22 )<br />

0( x)<br />

-----------------<br />

=<br />

+ x– s<br />

(47.32)<br />

(47.33)<br />

(47.34)<br />

(47.35)<br />

(47.36)<br />

(47.37)<br />

(47.38)<br />

(47.39)<br />

Canonical coordinates of the equivalent critical area for opening a geometrical object, in the case of<br />

w = Y 2 − Y 1, are given by the expressions [33]:<br />

x 1<br />

=<br />

X 1<br />

2Ao 0( x)<br />

– ----------------x–<br />

w<br />

(47.40)

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