TECHNICAL PAPERS
Jun 1, 1990

Analysis of Incremental Excavation Based on Critical State Theory

Publication: Journal of Geotechnical Engineering
Volume 116, Issue 6

Abstract

Earth structures such as embankments and excavations are constructed sequentially, and for realistic modeling of these structures the construction sequences should be simulated as accurately as possible. This paper addresses the problems associated with accurate incremental excavation modeling using an efficient finite element‐based excavation analysis algorithm that satisfies the uniqueness principle for cutting in an elastic material and a new stress‐point integration algorithm for the modified Cam‐Clay model that is both accurate and stable. The combined excavation and stress‐point algorithm is unconditionally convergent at subfailure condition and is shown to perform extremely well on an intensive accuracy analysis designed to model the process of sequential excavation in a modified Cam‐Clay soil under plane strain, axisymmetric, and three‐dimensional configurations. Both drained and undrained conditions are considered in the analyses. The paper ends with an example of braced wall movement prediction in a soft bay mud deposit near San Francisco Bay to demonstrate the practical application of the proposed solution.

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References

1.
Atkinson, J. H. (1981). Foundations and slopes: An introduction to applications of critical state soil mechanics. Halsted Press, New York, N.Y.
2.
Bonaparte, R., and Mitchell, J. K. (1979). “The properties of San Francisco Bay Mud at Hamilton Air Force Base, California.” Geotech. Res. Report, Univ. of California, Berkeley, Calif.
3.
Borja, R. I., and Kavazanjian, E., Jr. (1984). “Finite element analysis of time‐dependent behavior of soft clays.” Geotech. Res. Report No. GT1, Stanford Univ., Stanford, Calif.
4.
Borja, R. I., and Kavazanjian, E., Jr. (1985). “A constitutive model for the stress‐strain‐time behaviour of ‘wet’ clays.” Géotechnique, 35(3), 283–298.
5.
Borja, R. I., Lee, S. R., and Seed, R. B. (1989a). “Numerical simulation of excavation in elastoplastic soils.” Int. J. Numer. Anal. Meths. Geomech., 13(3), 231–249.
6.
Borja, R. I., Lee, S. R., and Seed, R. B. (1989b). “Excavation in cohesive soils: Modelling the effects of creep on long‐term performance.” Numerical Models in Geomechanics NUMOG III, S. Pietruszczak and G. N. Pande, eds., Elsevier, New York, 585–592.
7.
Borja, R. I., and Lee, S. R. (1990). “Cam‐Clay plasticity, part I: Implicit integration of elasto‐plastic constitutive relations.” Comput. Methods Appl. Mech. Engrg., 78(1), 49–72.
8.
Borja, R. I. (1990a). “Cam‐Clay plasticity, part II: Implicit integration of constitutive equation based on a nonlinear elastic stress predictor.” Comput. Methods Appl. Mech. Engrg.
9.
Borja, R. I. (1990b). “Composite Newton‐PCG and quasi‐Newton iterations for nonlinear consolidation.” Comput. Methods Appl. Mech. Engrg.
10.
Brown, P. T., and Booker, J. R. (1986). “Finite element analysis of excavations.” Res. Report No. 532, School of Civ. and Mining Engrg., Univ. of Sydney, Sydney, Australia.
11.
Christian, J. T., and Wong, I. H. (1973). “Errors in simulation of excavation in elastic media by finite elements.” Soils Found., 13(1), 1–10.
12.
Clough, G. W., and Mana, A. I. (1976). “Lessons learned in finite element analysis of temporary excavations.” Proc. 2nd Int. Conf. Numerical Methods in Geomech., ASCE, Blacksburg, Va.
13.
Clough, G. W., and Reed, M. W. (1984). “Measured behavior of braced wall in very soft clay.” J. Geotech. Engrg., ASCE, 110(1), 1–19.
14.
Duncan, J. M., and Chang, C. S. (1977). “EXCAV: A computer program for analysis of stresses and movements in excavations.” Geotech. Engrg. Res. Rept. No. TE 77‐4, Univ. of California, Berkeley, Calif.
15.
Gens, A., and Potts, D. M. (1988). “Critical state models in computational geomechanics.” Engrg. Computations, 5(3), 178–197.
16.
Ghaboussi, J., and Pecknold, D. A. (1985). “Incremental finite element analysis of geometrically altered structures.” Int. J. Numer. Methods Engrg., 20(11), 2061–2064.
17.
Hinton, E., and Campbell, J. (1974). “Local and global smoothing of discontinuous finite element functions using a least square method.” Int. J. Numer. Methods Engrg., 8(3), 461–480.
18.
Hughes, T. J. R. (1980). “Generalization of selective integration procedures to anisotropic and nonlinear media.” Int. J. Numer. Methods Engrg., 15(9), 1413–1418.
19.
Ishihara, K. (1970). “Relations between process of cutting and uniqueness of solutions.” Soils Found., 10(3), 50–65.
20.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, J. Wiley and Sons, New York, N.Y.
21.
Lee, S. R., Borja, R. I., and Seed, R. B. (1989). “Nonlinear elasto‐plastic finite element analysis of braced excavations in clays.” Geotech. Engrg. Res. Report No. GT2, Stanford Univ., Stanford, Calif.
22.
Nagtegaal, J. C., Parks, D. M., and Rice, J. R. (1974). “On numerically accurate finite element solutions in the fully plastic range.” Comput. Methods Appl. Mech. Engrg., 4(2), 153–178.
23.
Naylor, D. J., et al. (1981). Finite elements in geotechnical engineering. Pineridge Press, Swansea, U.K.
24.
Ortega, J. M., and Rheinboldt, W. C. (1970). Iterative solution of nonlinear equations in several variables. Academic Press Inc., San Diego, Calif.
25.
Ortiz, M., and Simo, J. C. (1986). “An analysis of a new class of integration algorithms for elastoplastic constitutive relations.” Int. J. Numer. Methods Engrg., 23(3), 353–366.
26.
Reed, M. W. (1980). “Observed behavior of an excavation in an unusually soft San Francisco Bay Mud deposit,” thesis presented to Stanford University, at Stanford, Calif., in partial fulfillment of the requirements for the degree of Engineer.
27.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalized stress‐strain behaviour of ‘wet’ clay.” Engineering plasticity, J. Hermand and F. A. Leckie, eds., Cambridge University Press, Cambridge, England, 535–609.
28.
Runesson, K. (1987). “Implicit integration of elastoplastic relations with reference to soils.” Int. J. Numer. Anal. Methods Geomech., 11(3), 315–321.
29.
Simo, J. C., and Taylor, R. L. (1985). “Consistent tangent operators for rate‐independent elastoplasticity.” Comput. Methods Appl. Mech. Engrg., 48(1), 101–118.
30.
Simo, J. C., Kennedy, J. G., and Govindjee, S. (1988). “Non‐smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms.” Int. J. Numer. Methods Engrg., 26(10), 2161–2185.
31.
Zytinsky, M., et al. (1978). “On modeling the unloading‐reloading behaviours of soils.” Int. J. Numer. Anal. Methods Geomech., 2(1), 87–93.

Information & Authors

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Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 116Issue 6June 1990
Pages: 964 - 985

History

Published online: Jun 1, 1990
Published in print: Jun 1990

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Authors

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Ronaldo I. Borja, Associate Member, ASCE
Asst. Prof., Dept. of Civ. Engrg., Stanford Univ., Stanford, CA 94305

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