PSI - Issue 6

Pudeleva Olga et al. / Procedia Structural Integrity 6 (2017) 309–315 Author name / Structural Integrity Procedia 00 (2017) 000 – 000

313

5

3

6

21

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

e

J J

rh

f

0.1518

0.0650

0.1222

0.8419,

0.

 









3

e

2

2      

3 e e f J J

:

For the tetragonal variant function

3

6

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

e

J J

tet

f

0.112

0.0052

0.899,

0

 







3

(9)

e

2

3

6

21

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

e

J J

tet

f

0.1206

0.0047

0.0373

0.899,

0.

 









3

e

2

2      

3 e e f J J

:

For the mixed tetragonal-rhombohedral variant function

3

6

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

e

J J

mix

f

0.1452

0.0449

0.8699,

0

 







3

(10)

e

2

3

6

21

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

3 e     e J J 2  

e

J J

mix

f

0.1127

0.0098

0.0604

0.8684,

0.

 









3

e

2

The dependence of the saturation strain on the form of the stressed state is described by a certain function   3 2 / e e g J J , which is related to the function   3 2 / e e f J J by the following relation:     3 2 0 3 2 1 / , / e e c e e g J J f J J    (11) where c  is the deformation of compression saturation. Figure 2 shows a comparison of the results obtained for the rhombohedral, tetragonal and mixed variants.