Stability of an undrained plane strain heading revisited

Computers and Geotechnics

Volumn 30, Issue 5, 2003, Pages 419-430

  Augarde, Charles E ^a   Lyamin, Andrei V ^b   Sloan, Scott W ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Heading; Limit analysis; Plasticity; Stability; Tunnel

Indexed keywords

EXCAVATION; FINITE ELEMENT METHOD; GEOTECHNICAL ENGINEERING; PLASTICITY TESTING; PRESSURIZATION; SURFACE PHENOMENA;

UNDERGROUND GEOMECHANICS; UNDRAINED PLANES;

SOIL TESTING;

FAILURE ANALYSIS; SOIL MECHANICS; STABILITY ANALYSIS; TUNNEL; UNDRAINED TEST;

EID: 0037411071     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-352X(03)00009-0     Document Type: Article

References (28)

1. Salencon J. An introduction to the yield design theory and its application to soil mechanics. European Journal of Mechanics A/Solids 1990;9(5):477-500.
2. Lysmer J. Limit analysis of plane problems in soil mechanics. ASCE Journal of the Soil Mechanics and Foundations Division 1970;96(SM4):1311-34.
3. Anderheggen E, Knopfel H. Finite element limit analysis using linear programming. International Journal of Solids and Structures 1972;8:1413-31.
4. Sloan SW, Assadi A. Undrained stability of a plane strain heading. Canadian Geotechnical Journal 1994;31:443-50.
5. Mair, RJ. Centrifugal modelling of tunnel construction in soft clay. PhD thesis, University of Cambridge, 1979.
6. Davis EH, Gunn MJ, Mair RJ, Seneviratne HN. The stability of shallow tunnels and underground openings in cohesive material. Géotechnique 1980;30:397-416.
7. Mühlhaus H-B. Lower bound solutions for tunnels in two and three dimensions. Rock Mechanics and Rock Engineering 1985;18:37-52.
8. Atkinson JH, Potts DM. Stability of a shallow circular tunnel in cohesionless soil. Géotechnique 1977;27:203-15.
9. Leca E, Dormieux L. Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material. Géotechnique 1990;40:581-606.
10. Eisenstein Z, Samarasekara L. Stability of unsupported tunnels in clay. Canadian Geotechnical Journal 1992;29:609-13.
11. Anagnostou G, Kovari K. Face stability conditions with earth-pressure-balanced shields. Tunnelling and Underground Space Technology 1996;11:165-73.
12. Sloan SW, Assadi A. Undrained stability of a square tunnel whose strength increases linearly with depth. Computers and Geotechnics 1991;12:321-46.
13. Sloan SW, Assadi A. The stability of tunnels in soft ground. In: Houlsby GT, Schofield AN, editors. Predictive soil mechanics. London: Thomas Telford 1993, p. 644-63.
14. Lyamin AV, Sloan SW. Stability of a plane strain circular tunnel in a cohesive-frictional soil. In: Proceedings of the J.R. Booker Memorial Symposium, Sydney, 2000. p. 139-53.
15. Skempton AW. The planning and design of the new Hong Kong airport. Discussion. Proc Inst Civil Eng 1957;7:305-7.
16. Atkinson JH, Bransby PL. The mechanics of soils: an introduction to critical state soil mechanics. London: McGraw-Hill; 1978.
17. Ladd CC, Foote R, Ishihara K, Schlosser F, Poulos HG. Stress deformation and strength characteristics. In: Proc. 12th Int. Conf. Soil Mechanics and Foundation Engineering, Vol. 2, 1977. p. 421-94.
18. Butterfield R. Dimensional analysis for geotechnical engineers. Géotechnique 1999;49:357-66.
19. Broms BB, Bennermark H. Stability of clay in vertical openings. Journal of the Geotechnical Engineering Division, ASCE 1967;193:71-94.
20. Atkinson JH, Mair RJ. Soil mechanics aspects of soft ground tunnelling. Ground Engineering 1981;14:20-4.
21. Sloan SW. Lower bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics 1988;12:61-77.
22. Lyamin AV. Three-dimensional lower bound limit analysis using non-linear programming. PhD thesis, Department of Civil, Surveying and Environmental Engineering, University of Newcastle, Australia, 1999.
23. Lyamin AV, Sloan SW. Lower bound limit analysis using non-linear programming. International Journal for Numerical Methods in Engineering 2002;55:573-611.
24. Sloan SW. Upper bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics 1989;13:263-82.
25. Sloan SW, Kleeman PW. Upper bound limit analysis with discontinuous velocity fields. Computer Methods in Applied Mechanics and Engineering 1995;127:293-314.
26. Lyamin AV, Sloan SW. Upper bound limit analysis using nonlinear programming. International Journal for Numerical and Analytical Methods in Geomechanics 2002;26:181-216.
27. Ewing DJF, Hill R. The plastic constraint of V-notched tension bars. Journal Mech Phys Solids 1967;15:115-24.
28. Chen WH. Limit analysis and soil plasticity. Amsterdam: Elsevier, 1975.