NDLI: Lamb’s integral formulas of two-phase saturated medium for soil dynamic with drainage

Content Provider	Springer Nature Link
Author	Yuan, Jin hua Ding, Bo yang Dang, Gai hong
Copyright Year	2010
Abstract	When dynamic force is applied to a saturated porous soil, drainage is common. In this paper, the saturated porous soil with a two-phase saturated medium is simulated, and Lamb’s integral formulas with drainage and stress formulas for a two-phase saturated medium are given based on Biot’s equation and Betti’s theorem (the reciprocal theorem). According to the basic solution to Biot’s equation, Green’s function G ij and three terms of Green’s function G 4i , G i4, and G 44 of a two-phase saturated medium subject to a concentrated force on a spherical coordinate are presented. The displacement field with drainage, the magnitude of drainage, and the pore pressure of the center explosion source are obtained in computation. The results of the classical Sharpe’s solutions and the solutions of the two-phase saturated medium that decays to a single-phase medium are compared. Good agreement is observed.
Ending Page	1124
Page Count	12
Starting Page	1113
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	9
Volume Number	31
Language	English
Publisher	Shanghai University Press
Publisher Date	2010-09-22
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	explosive field Lamb’s integral formula Forced motions Mechanics drainage Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems Mathematical Modeling and Industrial Mathematics Applications of Mathematics dynamic response
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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