Table 2 Comparative analysis of plastic zone radius under different methods (m).

From: An new elastic–plastic analytical solution of circular tunnel under non-axisymmetric conditions

Internal load (MPa)

Lateral pressure coefficient

0.5

1.0

1.5

Methods

1

2

3

4

1

2

3

4

1

2

3

4

0.0

Vault

2.90

3.33

2.90

3.30

3.70

2.98

3.64

3.64

4.10

4.12

4.02

3.89

Spandrel

3.70

4.32

3.76

3.70

3.70

2.98

3.64

3.64

3.70

4.40

3.59

3.60

Side wall

3.90

3.62

5.35

4.22

3.70

2.98

3.64

3.64

3.30

3.76

3.22

3.35

Maximum error (%)

17

37

14

19

2

2

19

3

5

0.1

Vault

2.90

 

2.71

3.18

3.50

 

3.53

3.53

4.10

 

3.90

3.77

Spandrel

3.50

 

3.57

3.55

3.50

 

3.53

3.53

3.70

 

3.51

3.51

Side wall

3.70

 

4.66

3.98

3.50

 

3.53

3.53

3.30

 

3.16

3.28

Maximum error (%)

 

26

10

 

1

1

 

5

8