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Forgeabilité des aciers inoxydables austéno-ferritiques

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tel-00672279, version 1 - 21 Feb 2012<br />

Chapter III. HOT CRACKING RESISTANCE 95<br />

An estimation of the characteristic lengths are given by the following equations:<br />

where i<br />

X<br />

and<br />

X<br />

0,<br />

D1_<br />

W<br />

0,<br />

D1bis<br />

_W<br />

f<br />

1<br />

� ,<br />

f D1_<br />

W and i<br />

fD bis_W<br />

i<br />

D1_<br />

W<br />

tures D1_W and D1bis_W.<br />

The ratio between e D1<br />

W<br />

w<br />

w<br />

e,<br />

D1_<br />

W<br />

e,<br />

D1bis<br />

_W<br />

f<br />

1<br />

� ,<br />

i<br />

D1bis<br />

_W<br />

eq III-25<br />

eq III-26<br />

1 are the densities of particles per unit area, respectively for the microstruc-<br />

w , _ and we, D1bis_<br />

W<br />

k��<br />

�<br />

k��<br />

c,<br />

D1_<br />

W<br />

c,<br />

D1bis<br />

_W<br />

� X<br />

� X<br />

can then be estimated by:<br />

0,<br />

D1_<br />

W<br />

0,<br />

D1bis<br />

_W<br />

� (exp( �<br />

� (exp( �<br />

c,<br />

D1_<br />

W<br />

) �1)<br />

c,<br />

D1bis<br />

_W<br />

) �1)<br />

. eq III-27<br />

Assuming that the load-displacement curves exhibit the same shape and are superimposed for a given<br />

ligament length, then this ratio can be approximated by:<br />

w<br />

w<br />

e,<br />

D1_<br />

W<br />

e,<br />

D1bis<br />

_W<br />

�<br />

X<br />

X<br />

0,<br />

D1_<br />

W<br />

0,<br />

D1bis<br />

_W<br />

� (exp( �<br />

� (exp( �<br />

c,<br />

D1_<br />

W<br />

c,<br />

D1bis<br />

_W<br />

) �1)<br />

) �1)<br />

. eq III-28<br />

Using the values of the equivalent strain to fracture indicated in Table III.12 for the critical strain and in<br />

Table III.13 and Table III.14 for the densities of particles, the ratio e D1<br />

W<br />

w , _ / we, D1bis_<br />

W<br />

fluctuates be-<br />

tween 7 and 10 that corresponds to the order of magnitude determined when estimating this ratio us-<br />

ing the values determined via the linear regression ( e D1<br />

W<br />

w , _ / we, D1bis_<br />

W<br />

= 4).

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