Large Strain and Dilatancy Effects in Pressuremeter
Publication: Journal of Geotechnical Engineering
Volume 110, Issue 3
Abstract
Herein is developed a fundamental solution to the problem of the expansion of a cylindrical cavity in a dilatant soil which exhibits effects of large strains. A result of some importance to geomechanics concerns the development of a shear stress‐strain curve for the tested soil by using the measured pressure‐cavity wall displacement response. It is shown that in order to develop the desired stress‐strain relationship for a dilatant soil it is necessary to introduce a kinematic constraint which relates the finite volumetric strain in the soil to the components of the Lagrangian strain matrix. Particular results are developed for the case where the volumetric strains vary linearly with the radial and circumferential Lagrangian strain components.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baguelin, F., et al., “Expansion of Cylindrical Probes in Cohesive Soils,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 98, 1972, pp. 1129–1142.
2.
Baguelin, F., Jezequel, J.‐F., and Shields, D. H., The Pressuremeter and Foundation Engineering, Trans. Tech. Publ., Clausthal, West Germany, 1978.
3.
Banerjee, P. K., and Stipho, A. S., “Associated and Non‐Associated Con stitutive Relations for Undrained Behaviour of Isotropic Soft Clays,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 2, 1978, pp. 35–36.
4.
Carter, J. P., Randolph, M. F., and Wroth, C. P., “Stress and Pore Pressure Changes in Clay During and After the Expansion of a Cylindrical Cavity,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 3, 1979, pp. 305–322.
5.
Gibson, R. E., and Anderson, W. F., “In Situ Measurement of Soil Properties with the Pressuremeter,” Civil Engineering and Public Works Review, Vol. 56, 1961, pp. 615–618.
6.
Green, A. E., and Zerna, W., Theoretical Elasticity, Clarendon Press, Oxford, England, 1968.
7.
Green, A. E., and Adkins, J. E., Large Elastic Deformations and Nonlinear Continuum Mechanics, Clarendon Press, Oxford, England, 1971.
8.
Hughes, J. M. O., Wroth, C. P., and Windle, D., “Pressuremeter Tests in Sand,” Geotechnique, Vol. 27, 1977, pp. 455–477.
9.
Jaunzemis, W., Continuum Mechanics, Macmillan, New York, N.Y., 1967.
10.
Jewell, R. J., Fahey, M., and Wroth, C. P., “Laboratory Studies of the Pressuremeter Test in Sand,” Geotechnique, Vol. 30, 1980, pp. 507–531.
11.
Ladanyi, B., “Evaluation of Pressuremeter Tests in Granular Soils,” Proceedings of the 2nd Pan American Conference on Soil Mechanics and Foundation Engineering, Vol. 1, 1963, pp. 3–20.
12.
Ladanyi, B., “Expansion of a Cavity in a Saturated Clay Medium,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 89, 1963, pp. 127–161.
13.
Ladanyi, B., “In Situ Determination of Undrained Stress‐Strain Behaviour of Sensitive Clays with the Pressuremeter,” Canadian Geotechnical Journal, Vol. 9, 1972, pp. 313–319.
14.
Laier, J. E., Schmertmann, J. H., and Schaub, J. H., “Effect of Finite Pressuremeter Length on Dry Sand,” Proceedings of the ASCE Specialty Conference on In Situ Testing, Raleigh, N.C., Vol. 1, 1975, pp. 241–259.
15.
Livneh, M., Gellert, M., and Uzan, S., “Determination of the Elastic Modulus of Soil by the Pressuremeter Interpretation of the Pressuremeter Test‐Theoretical Background,” Journal of Materials, Vol. 6, 1971, pp. 348–355.
16.
Palmer, A. C., “Undrained Plane Strain Expansion of a Cylindrical Cavity in Clay. A. Simple Interpretation of the Pressuremeter Test,” Geotechnique, Vol. 22, 1972, pp. 451–457.
17.
Palmer, A. C., and Mitchell, R. J., “Plane Strain Expansion of a Cylindrical Cavity in Clay,” Stress‐Strain Behaviour of Soils, R. H. G. Parry, ed., Foulis, Henley‐on‐Thames, 1972, pp. 588–599.
18.
Prevost, J.‐H., and Hoeg, K., “Analysis of Pressuremeter in Strain‐Softening Soil,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 101, 1975, pp. 717–732.
19.
Rivlin, R. S., “Large Elastic Deformation of Isotropic Materials VI.—Further Results in the Theory of Torsion, Shear and Flexure,” Philosophical Transactions of the Royal Society, Series A, Vol. 242, 1949, pp. 173–195.
20.
Rivlin, R. S., and Ericksen, J. L., “Stress‐Deformation Relations for Isotropic Materials,” Journal for Rational Mechanics and Analysis, Vol. 4, 1955, pp. 323–425.
21.
Rivlin, R. S., “Some Topics in Finite Elasticity,” Structural Mechanics, Proceedings of the 2nd Symposium on Naval Structural Mechanics, J. N. Goodier and N. J. Hoff, eds., Pergamon Press, Oxford, England, 1960, pp. 169–189.
22.
Selvadurai, A. P. S., and Spencer, A. J. M., “Second‐Order Elasticity with Axial Symmetry; I.—General Theory,” International Journal of Engineering Science, Vol. 10, 1972, pp. 97–114.
23.
Smith, I. M., “Incremental Numerical Analysis of a Simple Deformation Problem in Soil Mechanics,” Geotechnique, Vol. 20, 1970, pp. 357–372.
24.
Smith, I. M., and Kay, S., “Stress Analysis of Contractive or Dilative Soil,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 97, 1971, pp. 981–997.
25.
Spencer, A. J. M., “The Static Theory of Finite Elasticity,” Journal of the Institute of Mathematics and Its Applications, Vol. 6, 1970, pp. 164–200.
26.
Truesdell, C., and Noll, W., “The Non‐linear Field Theories of Mechanics,” Encyclopaedia of Physics, Vol. 3/3, Springer‐Verlag, Berlin, 1965.
27.
Vesic, A. S., “Expansion of Cavities in Infinite Soil Mass,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 98, 1972, pp. 265–290.
28.
Wroth, C. P., “In Situ Measurement of Initial Stresses and Deformation Characteristics,” Proceedings of the ASCE Specialty Conference on In Situ Measurement of Soil Properties, Raleigh, N.C., Vol. 2, 1975, pp. 181–231.
29.
Wroth, C. P., and Windle, D., “Analysis of the Pressuremeter Test Allowing for Volume Change,” Geotechnique, Vol. 25, 1975, pp. 598–604.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 110 • Issue 3 • March 1984
Pages: 421 - 436
Copyright
Copyright © 1984 ASCE.
History
Published online: Mar 1, 1984
Published in print: Mar 1984
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.