PSI - Issue 54

Victor Rizov et al. / Procedia Structural Integrity 54 (2024) 468–474 Victor Rizov/ Structural Integrity Procedia 00 (2019) 000 – 000

471

4

Formula (1) holds for



t t

  1

S

.

(5)

v

At  both units ( ) I and ( ) II deform. By analyzing the components of the rheological model, one derives the following stress-strain-time constitutive relationship:             t t e v t 3 2 2 1 1 1     S  

  

 

  

 

1 2  

1 2  

  

2 3 1

2



1

1

  

   

  

(    

1

v

1 2  

2 

1 2  



( ) t t

)   2

  

1  

(

)

e

t t

t t









3 

,

(6)

1 1

1

1

2 3 1

2



1 

1 

where

     4 2 1  E

   ,

3 4  

1 

(7)

E



2 

3 4 2

,

(8)



v E

  S ,

 

3 

3 4 2

(9)

4 



t

 1

S

.

(10)

v

Fig. 3. Variation of the SERR with time.

Relationship (6) is valid for 1 t t  .

(11)