Analytical solution for deep rectangular structures subjected to far-field shear stresses

Tunnelling and Underground Space Technology

Volumn 21, Issue 6, 2006, Pages 613-625

  Huo, H ^a   Bobet, A ^a   Fernandez G ^b   Ramirez J ^a  

^a PURDUE UNIVERSITY   (United States)

^b United States of America   (United States)

Author keywords

Analytical solution; Deep rectangular structure; Pseudo static analysis; Relative stiffness; Seismic design

Indexed keywords

CONFORMAL MAPPING; DEFORMATION; FINITE ELEMENT METHOD; SEISMOLOGY; SHEAR STRESS; STIFFNESS; STRAIN; STRUCTURAL LOADS;

ANALYTICAL SOLUTION; DEEP RECTANGULAR STRUCTURE; FAR-FIELD SHEAR STRESSES; PSEUDO-STATIC ANALYSIS; RELATIVE STIFFNESS; SEISMIC DESIGN;

UNDERGROUND STRUCTURES;

CONFORMAL MAPPING; DEFORMATION; FINITE ELEMENT METHOD; SEISMOLOGY; SHEAR STRESS; STIFFNESS; STRAIN; STRUCTURAL LOADS; UNDERGROUND STRUCTURES;

ANALYTICAL METHOD; SEISMIC DESIGN; SHEAR STRESS; UNDERGROUND CONSTRUCTION;

EID: 33745049670     PISSN: 08867798     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tust.2005.12.135     Document Type: Article

References (27)

1. ABAQUS User's Manual. Hibbit (2002), Karlsson and Sorensen, Inc., Pawtucket, RI
2. Bobet A. Effect of pore water pressure on tunnel support during static and seismic loading. Tunnelling and Underground Space Technology 18 (2003) 377-393
3. Churchill R.V. Complex Variables and Applications. second ed. (1960), McGraw-Hill Book Company, New York
4. Einstein H.H., and Schwartz C.W. Simplified analysis for tunnel supports. Journal of Geotechnical Engineering Division (1979) 499-518 ASCE, GT4
5. Exadaktylos G.E., and Stavropoulou M.C. A closed-form elastic solution for stresses and displacements around tunnels. International Journal of Rock Mechanics and Mining Science 39 7 (2002) 905-916
6. Exadaktylos G.E., Liolios P.A., and Stavropoulou M.C. A semi-analytical elastic stress-displacement solution for notched circular openings in rocks. International Journal of Solids and Structures 40 (2003) 1165-1187
7. Gercek H. An elastic solution for stresses around tunnels with conventional shapes. International Journal of Rock Mechanics and Mining Science 34 3-4 (1997) Paper No. 096
8. Hashash Y.M.A., Hook J.J., Schmidt B., and Yao J.I. Seismic design and analysis of underground structures. Tunneling and Underground Space Technology 16 (2001) 247-293
9. Hendron A.J., and Fernández G. Dynamic and static design considerations for underground chambers. In: Howard T.R. (Ed). Seismic Design of Embankments and Caverns (1983), ASCE, New York 157-197
10. Huo, H., 2005. Seismic design and analysis of rectangular underground structures. Ph.D. Thesis, Purdue University, West Lafayette, IN.
11. Merritt, J.L., Monsees, J.E., Hendron Jr., A.J., 1985. Seismic design of underground structures. In: Proceedings of the 1985 Rapid Excavation Tunneling Conference, vol. 1, pp. 104-131.
12. Mindlin R.D. Stress distribution around a tunnel. Transactions of the ASCE (1940) 1117-1153
13. Mindlin R.D. Stress distribution around a hole near the edge of a plate under tension. Proceedings of the Society of Experimental Stress Analysis 5 (1948) 56-57
14. Motok M.D. Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature. Marine Structures 10 1 (1997) 1-12
15. Muskhelishvili N.I. Some Basic Problems of the Mathematical Theory of Elasticity (1954), Noordhoof Ltd., Groningen, The Netherlands
16. Peck, R.B., Hendron Jr., A.J., Mohraz, B., 1972. State of the art of soft-ground tunneling. In: Proceedings of the RETC 1972, vol. 1, pp. 259-285.
17. Penzien J. Seismically induced raking of tunnel linings. Earthquake Engineering and Structure Dynamics 29 (2000) 683-691
18. Penzien J., and Wu C.L. Stresses in linings of bored tunnels. Earthquake Engineering and Structure Dynamics 27 (1998) 283-300
19. Savin G.N. Stress Concentration around Holes (1961), Pergamon Press, London, UK
20. Sokolnikoff I.S. Mathematical Theory of Elasticity (1956), McGraw-Hill, New York
21. Strack O.E., and Verruijt A. A complex variable solution for a deforming buoyant tunnel in a heavy elastic half-plane. International Journal for Numerical and Analytical Methods in Geomechanics 26 (2002) 1235-1252
22. Timoshenko S.P., and Goodier J.N. Theory of Elasticity (1970), McGraw-Hill Publishing Company, New York
23. Theocaris P.S. Peculiarities of the artificial crack. Engineering Fracture Mechanics 38 1 (1991) 37-54
24. Theocaris P.S., and Petrou L. From the rectangular hole to the ideal crack. International Journal of Solids and Structures 25 3 (1989) 213-233
25. Verruijt A. A complex variable solution for a deforming circular tunnel in an elastic half-plane. International Journal for Numerical and Analytical Methods in Geomechanics 21 (1997) 77-89
26. Verruijt A. Deformations of an elastic half plane with a circular cavity. International Journal of Solids and Structures 35 21 (1998) 2795-2804
27. Wang J.N. Seismic Design of Tunnels: A State-of-the-Art Approach, Monograph. Monograph 7 (1993), Parsons, Brinckerhoff, Quade and Douglas, Inc., New York