Abstract
A solution was recently obtained for the expansion of cylindrical cavities in normally consolidated Modified Cam Clay under plane strain and undrained conditions. Constitutive relationships which combined the elastic and plastic responses of the clay were derived by assuming that the shear modulus, G′, and the hardening parameter, p′c, which controls the size of the yield locus, remained constant throughout the expansion. The latter assumption resulted in some unexpected findings. It was found, for example, that the ratio between the axial stress σz f and the sum of the remaining radial and tangential stresses, σr f and σθf at critical state, closely approached but never attained the theoretical value of 0.5, except for the particular case of Ko = 1, where Ko is the coefficient of lateral earth pressure. The present paper removes the restrictive assumption on the hardening parameter, p′c, which now varies during the shearing process. New effective stress relationships are obtained and the solution is applied for illustration purposes to both normally consolidated and overconsolidated Boston Blue Clay, for which the overconsolidation ratio (OCR) varies between 1 and 32. Results are compared to a well - known benchmark solution obtained by means of finite element analyses.
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The authors express their gratitude to the Natural Sciences and Engineering Research Council of Canada for the financial support received in this study.
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Silvestri, V., Tabib, C. (2019). An Enhanced Solution for the Expansion of Cylindrical Cavities in Modified Cam Clay. In: Shehata, H., Desai, C. (eds) Advances in Numerical Methods in Geotechnical Engineering. GeoMEast 2018. Sustainable Civil Infrastructures. Springer, Cham. https://doi.org/10.1007/978-3-030-01926-6_7
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