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Boundary conditions

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Abstract

Given a system composed of psammoids and/or peloids with pore fluid and of solids, the evolution of its shape and state can be considered as a boundary value problem. For setting the scene imagine marked skeleton and solid particles (Sect. 1.2) at nods of a finite element mesh which indicate displacements and deformations, and transducers between neighboured markers which indicate skeleton or solid stresses and pore pressures. An evolution can be represented as a succession of snapshots of positions and state fields which are ordered by time t. t = 0 may be taken for an onset with an initial state field including the void ratio e o . This onset is chosen at will and not physically distinguished, i.e. the skeleton does not start at a state limit or at the verge of a suspension in general. Changes of position and shape are thus referred to arbitrary initial configurations.

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References

  • Gudehus G. On the onset of avalanches in flooded loose sand. Phil. Trans. R. Soc. Lond. A, 356:2747–2761, 1998.

    Article  Google Scholar 

  • Kokusho T. Formation of water film in liquefied sand and its effect on lateral spread. J. Geotech. Geoenv. Eng., 125(10):817–826, 1999.

    Article  Google Scholar 

  • Wheeler S.J. A conceptual model for soils containing large gas bubbles. Géotechnique, 38:389–397, 1988.

    Article  Google Scholar 

  • Bühler M.M. Experimental and Numerical Investigation of Soil-Foundation-Structure Interaction during Monotonic, Alternating and Dynamic Loading. PhD thesis, Institute of Soil Mechanics and Rock Mechanics University of Karlsruhe, Heft 166, 2006.

    Google Scholar 

  • Tejchman J. Modelling of Shear Localisation and Autogeneous Dynamic Effects in Granular Bodies. PhD thesis, Institute of Soil Mechanics and Rock Mechanics, University of Karlsruhe, Heft 140, Habilitation, 1997.

    Google Scholar 

  • Winter H. Fliessen von Tonböden: Eine mathematische Theorie und ihre Anwendung auf den Fliesswiderstand von Pfählen. PhD thesis, Institute of Soil Mechanics and Rock Mechanics, University of Karlsruhe, Heft 82, 1979.

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Correspondence to Gerd Gudehus .

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© 2011 Springer-Verlag Berlin Heidelberg

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Gudehus, G. (2011). Boundary conditions. In: Physical Soil Mechanics. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36354-5_10

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