671017.pdf

4. 
   


5. 5


6. 0


7. 5


8. 0


9. 0


10. 5

/ 1

3

−1. 0

−0. 5

0. 
   


1. 5


2. 0


3. 5

−1. 5

−2. 0

(%)

0 2 4 6 8 10 12 14 16

1 (%)

Rigid boundary A

Rigid boundary B

Flexible boundary

(a)

4. 
   


5. 5


6. 0


7. 5


8. 0


9. 0


10. 5

/ 1

3

−1. 0

−0. 5

0. 
   


1. 5


2. 0


3. 5

−1. 5

−2. 0

(%)

0 2 4 6 8 10 12 14 16

1 (%)

Rigid boundary A

Rigid boundary B

Flexible boundary

(b)

4. 
   


5. 5


6. 0


7. 5


8. 0


9. 0


10. 5

/ 1

3

−1. 0

−0. 5

0. 
   


1. 5


2. 0


3. 5

−1. 5

−2. 0

(%)

0 2 4 6 8 10 12 14 16

1 (%)

Rigid boundary A

Rigid boundary B

Flexible boundary

(c)

4. 
   


5. 5


6. 0


7. 5


8. 0


9. 0


10. 5

/ 1

3

−1. 0

−0. 5

0. 
   


1. 5


2. 0


3. 5

−1. 5

−2. 0

(%)

0 246810121416

1 (%)

Rigid boundary A

Rigid boundary B

Flexible boundary

(d)

Figure 8: The development of stress ratio휎 1 /휎 3 and volumetric strain휀Vwith axial strain휀 1 for three different boundary conditions: (a)
훿=0∘,(b)훿=30∘,(c)훿=60∘,and(d)훿=90∘.