Expansion of spherical cavity of strain-softening materials with different elastic moduli of tension and compression
An expansion theory of spherical cavities in strain-softening materials with different moduli of tension and compression was presented. For geomaterials, two controlling parameters were introduced to take into account the different moduli and strain-softening properties. By means of elastic theory with different moduli and stress-softening models, general solutions calculating Tresca and Mohr-Coulomb materials’ stress and displacement fields of expansion of spherical cavity were derived. The effects caused by different elastic moduli in tensile and compression and strain-softening rates on stress and displacement fields and development of plastic zone of expansion of cavity were analyzed. The results show that the ultimate expansion pressure, stress and displacement fields and development of plastic zone vary with the different elastic moduli and strain-softening properties. If classical elastic theory is adopted and strain-softening properties are neglected, rather large errors may be the result.
Key wordsExpansion of spherical cavity Tresca material Mohr-Coulomb material Elastic theory with different moduli of tension and compression Stress-dropping softening model
CLC numberTU431 TU452
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- АМБАРЦЭЯн, C.A., 1986. Elastic Theory with Different Modulus in Tension and Compression. China Railway Press, Beijing (in Chinese).Google Scholar
- Gibson, R.E., 1950. Discussion to “The bearing capacity of screw piles and screwcrete cylinders” by G. Wilson. Journal of the Institute of Civil Engineers, 34:382–383.Google Scholar
- Gibson, R.E., Anderson, W.F., 1961. In-situ measurement of soil properties with the pressuremeter. Civil Engineering and Pubic Works Review, 56:615–618.Google Scholar
- Gong, X.N., 1984. Oil Tank Foundation Property of Soft Clay. Ph.D Thesis, Zhejiang University, Hangzhou (in Chinese).Google Scholar
- Gong, X.N., 1999. Soil Plastic Mechanics (Second Version). Zhejiang University Press, Hangzhou, China (in Chinese).Google Scholar
- Jiang, M.J., Shen, Z.J., 1996. Computation and analyses on bearing capacity of foundation with strain-softening behavior. Science Research of Water Conversation and Conveyance, 3(1):42–47 (in Chinese).Google Scholar
- Palmer, A.C., Mitchell, R.J., 1972. Plane-strain Expansion of a Cylindrical Cavity in Clay. Proceeding of the Roscoe Memorial Symposium on Stress-strain Behavior of Soils. Cambridge, p.588–599.Google Scholar
- Shen, Z.J., 1982. Some problems of strain-softening material on computation. Jiangsu Journal of Mechanics, 1(1):19–23 (in Chinese).Google Scholar
- Vesic, A.C., 1972. Expansion of cavities in infinite soil mass. Journal Soil Mechanics and Foundation Division, ASCE, 98(SM3):265–290.Google Scholar
- Yu, H.S., 1990. Cavity Expansion Theory and Its Application to the Analysis of Pressuremeters. Ph.D Thesis, University of Oxford, UK.Google Scholar