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2020 | OriginalPaper | Chapter

On FE Modeling of Two-Phase Media Using the up-Discretization

Author : Andrzej Niemunis

Published in: Recent Developments of Soil Mechanics and Geotechnics in Theory and Practice

Publisher: Springer International Publishing

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Abstract

In saturated soils the difference between the acceleration of soil skeleton and water is usually disregarded. In this paper it is reintroduced in a simplified manner into the balance equation and into the conservation of mass. This leads to a symmetric element matrix. Also the inertial interaction force associated with this difference are taken into account. It turns out, however, that numerical errors due to the standard Galerkin spatial discretization and due to the usual trapezoidal rule of Newmark time integration scheme blur the physically motivated extension. The conventional FEM is insufficient to calculate boundary value problems of dynamic nature even if displacements is better interpolated than pressure. Stabilization techniques and discrete Galerkin formulation seem to be indispensable to judge about effects of the proposed extension.

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previous chapter State-Dependent Dilatancy of Soils: Experimental Evidence and Constitutive Modeling
next chapter Possibilities and Limitations of ALE Large Deformations Analyses in Geotechnical Engineering
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Metadata
Title
On FE Modeling of Two-Phase Media Using the up-Discretization
Author
Andrzej Niemunis
Copyright Year
2020
Book
Recent Developments of Soil Mechanics and Geotechnics in Theory and Practice

Print ISBN: 978-3-030-28515-9

Electronic ISBN: 978-3-030-28516-6

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-28516-6_5

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