PSI - Issue 47

Fatima Gugouch et al. / Procedia Structural Integrity 47 (2023) 952–958 Fatima Gugouch/ Structural Integrity Procedia 00 (2019) 000–000

955

4

In this paper, the studied model highlights the theories of static damage Lemaitre (1985), Eq. (1) based on the ultimate residual stress extracted from the results of the tensile test under the influence of temperature.



1



u a u ur

  

D



(1)

1



Where: u 

: Value of the ultimate stress

ur  : Value of the ultimate residual stress a  : Value of the critical residual stress corresponding to the stress released just before breaking. The following figure shows the damage curve resulting from Eq. (1) as a function of life fraction β :

0 T T T T f i  

 

(2)

0

With: 0 T : Value of the initial temperature i T : Value of the instant temperature f T : Value of the final Temperature

Fig. 4. Static damage evolution according to life fraction.