Application of the multi-laminate sub-loading surface model in the simulation of a pipe-jacking operation

Document Type : Research

Author

Civil Engineering Department of University of Qom, Qom, Iran

Abstract

In this paper a constitutive model formulated in the framework of multi-laminate models is applied to analyze pipe-jacking processes. The multi-laminate -based models consider various integration planes to formulate the stress-strain relationship. This basic feature of the framework has the advantage that yield criteria, flow and hardening rules are formulated on planes rather than in three-dimensional stress space. In the proposed model, constitutive equations of the integration planes are derived based on the sub-loading surface plasticity framework. It is demonstrated that the development of large deformation and cracks formation which are the main difficulties in the simulation of pipe-jacking processes can be captured with this model. The ability of the model in the handling of these difficulties is verified with the simulation a laboratory pipe-jacking test. The simulation results show reasonable agreement with the test data.

Keywords


1. Abufarsakh, M., Voyiadjis, G., "Computational model for the simulation of the shield tunneling process in cohesive soils", Int. J. Numer. Anal. Meth. Geomech., vol. 23, 1999, p. 23-44. https://doi.org/10.1002/(SICI)1096-9853(199901)23:1<23::AID-NAG956>3.0.CO;2-Z [DOI:10.1002/(SICI)1096-9853(199901)23:13.0.CO;2-Z]
2. Barala, M., Camusso, M., Aiassa, S., "Analysis of jacking forces during micro-tunneling in limestone", Tun. Undgr. Spc. Tech., vol. 21, 2006, p. 668-683. [DOI:10.1016/j.tust.2006.01.002]
3. Belytschko, T., Fish, J., Englemann, B. E., "A finite element with embedded localization zones", Com. Meth. Appl. Mech. Eng., vol. 70, 1988, p. 59-80. [DOI:10.1016/0045-7825(88)90180-6]
4. De Borst, R., "Simulation of strain localization: a re-appraisal of the Cosserat continuum", Eng. Comp., vol. 8, 1991, p. 317-32. [DOI:10.1108/eb023842]
5. Brinkgreve, R., Vermeer, P., "A new approach to softening plasticity", In Pande & Pietruszczak (Ed.), Proc. 5th Int. Symp. Numerical Models in Geomechanics - NUMOG V, 1995, Davos, p. 193-202.
6. Hashiguchi, K., "Fundamentals in constitutive equation: continuity and smoothness conditions and loading criterion", Soils Found., vol. 40 no. 3, 2000, p.155- 161. [DOI:10.3208/sandf.40.4_155]
7. Hashiguchi, K., Saitoh, K., Okayasu, T., Tsutsumi, S., "Evaluation of typical conventional and unconventional plasticity models for prediction of softening behaviour of soils", Geotechnique, vol. 52 no. 8, 2002, p. 561-578. [DOI:10.1680/geot.52.8.561.38829]
8. Hicks, M., "An adaptive mesh study of localisation in a saturated soil", In Yuan (Ed.), Proc. 9th Int. Conf. Computer Methods and Advances in Geomechanics, 1997 , Wuhan, p. 1853-1858.
9. ISTT, Trenchless Tecchnology Guidelines, 1998.
10. Lee, K. M., Rowe, R. K., "Finite element modeling of the three-dimensional ground deformation due to tunneling in soft cohesive soils: part I - method of analysis", Comput. Geotech., vol. 10, 1990a, p. 87- 109. [DOI:10.1016/0266-352X(90)90001-C]
11. Lee, K. M., Rowe, R. K., "Finite element modeling of the three-dimensional ground deformation due to tunneling in soft cohesive soils: part II - results", Comput. Geotech., vol. 10, 1990b, p. 111-138. [DOI:10.1016/0266-352X(90)90002-D]
12. Lee, K. M., Rowe, R. K., Lo, K. Y., "Subsidence owing to tunneling. I. estimating the gap parameter", Can. Geotech. J.,vol. 29, 1992, p. 929- 940. [DOI:10.1139/t92-104]
13. Leroy, Y., Ortiz, M., "Finite element analysis of strain localization in frictional materials", Int. J. Num. Analyt. Meth. Geomech., vol. 13, 1989, p. 53-74. [DOI:10.1002/nag.1610130106]
14. Marcher, T., Vermeer, P., "Macromodelling of softening in non-cohesive soils", Proc. Int. Symp. Continuous and Discontinuous Modelling of Cohesive Frictional Materials - CDM 2000: Springer, 2000, p. 89-108. [DOI:10.1007/3-540-44424-6_7]
15. Ng, M. C., Lo, K. Y., Rowe, R. K. (1986). Analysis of field performance - the Thunder Bay Tunnel. Can. Geotech. J., 23, 30-50. [DOI:10.1139/t86-005]
16. Pande, G., Sharma, K., "Multi-laminate of clays- a numerical evaluation of the influence rotation of principal stress axis", Int. J. Numer. Anal. Methods Geomech., vol. 7, 1983, p. 397- 418. [DOI:10.1002/nag.1610070404]
17. Rogers, C. D., "Comparison of ground disturbance for trenching and pipebursting operations, Part I", NO DIG Eng., vol. 2 no. 4, 1995, p. 8-13.
18. Rogers, C. D., "Comparison of ground disturbance for trenching and pipebursting operations, Part II", NO DIG Eng., vol. 3 no. 1, 1996, p. 15-20.
19. Rogers, C., Chapman, D., Wan, F., Ng, P., "Laboratory testing of pipe splitting operations", Tun. Undgr. Spc. Tech., vol. 17, 2002, p. 99-113. [DOI:10.1016/S0886-7798(01)00061-X]
20. Rowe, R. K., Lee, K. M., "Subsidence owing to tunneling. II. Evaluation of a prediction technique", Can. Geotech. J., vol. 29, 1992, p. 941- 954. [DOI:10.1139/t92-105]
21. Saber, A., Steling, R., Nakhawa, S. A., "Simulation for ground movement due to pipe bursting", J. Infrastructure Sys., vol. 9 no. 4, 2003, p. 140-144. [DOI:10.1061/(ASCE)1076-0342(2003)9:4(140)]
22. Sadrnejad, S. A., "Fabric behavior of sands in post-liquefaction", American Journal of Applied sciences, vol. 2 no. 12, 2005, p. 1562-1573. [DOI:10.3844/ajassp.2005.1562.1573]
23. Sadrnejad, S. A., Ghoreishian Amiri, S. A., "A simple unconventional plasticity model within the multi-laminate framework", Int. J. Civil Eng.,vol. 8 no. 2, 2010, p. 143-158.
24. Schuller, H., Schweiger, H. F., "Application of a multi-laminate model to simulation of shear band formation in NATM-tunneling" Comput. Geotech., vol. 29, 2002, p. 501-524. [DOI:10.1016/S0266-352X(02)00013-7]
25. Schweiger, H., Schuller, H., "New developments and practical applications of the multi-laminate model for soils", Developments in theoretical geomechanics - The John Booker memorial symposium, 2000, Balkema, Sydney, Australia, p. 329-350.
26. Schweiger, H., Wiltafsky, C., Scharinger, F., Galavi, V., "A multi-laminate framework for modelling induced and inherent anisotropy of soils", Geotechnique, vol. 59 no. 2, 2009, p. 87-101. [DOI:10.1680/geot.2008.3770]
27. Zienkiewicz, O., Zhu, J., "A simple error estimator and adaptive procedure for practical engineering analysis", Int. J. Num. Meth. Eng., vol. 24, 1987, p. 337-57. [DOI:10.1002/nme.1620240206]