Lamb’s Integral Formulas of Two-Phase Saturated Medium for Soil Dynamic Problems With Drainage

DING Bo-yang; DANG Gai-hong; YUAN Jin-hua

doi:10.3879/j.issn.1000-0887.2010.09.007

Volume 31 Issue 9

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DING Bo-yang, DANG Gai-hong, YUAN Jin-hua. Lamb’s Integral Formulas of Two-Phase Saturated Medium for Soil Dynamic Problems With Drainage[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1066-1074. doi: 10.3879/j.issn.1000-0887.2010.09.007

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Lamb’s Integral Formulas of Two-Phase Saturated Medium for Soil Dynamic Problems With Drainage

doi: 10.3879/j.issn.1000-0887.2010.09.007

1.
College of Civil Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-07-19
Publish Date: 2010-09-15

Abstract

Abstract

It's an ordinary phenomenon to vibration response with drainage when the dynamic force acts upon the saturated soil in the project site.The saturated soil was simulated with the two-phase saturated medium in theory,the Lamb's integral formulas(representative theorem)with drainage and the stress formulas on the two-phase saturated medium had been shown based on Biot's equation and Betti's theorem(reciprocal theorem).According to the basic solution of Green's function and three items of Green's function on the flow-phase of the two-phase saturated medium subjected to a concentrated force,the displacement field with drainage,the magnitude of drainage and the pore pressure of the center explosion source and so on were computed.Moreover,the comparative results of classical Sharpe's solutions and calculated solutions that the two-phase saturated medium decays to the single-phase medium had giverout.A good agreement can be observed from the figures.
- explosive field,
- drainage,
- dynamic response,
- Lamb’s integral formula

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References(20)

References

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