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Contribution to the Non-Lagrangian Formulation of Geotechnical and Geomechanical Processes

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Holistic Simulation of Geotechnical Installation Processes

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 82))

Abstract

Numerical simulations of geomechanical and geotechnical processes, such as vibro-injection pile installation, require suitable algorithms and sufficiently realistic models. These models have to account for large deformations, the evolution of material interfaces including free surfaces and contact interfaces, for granular material behavior in different flow regimes as well as for the interaction of the different materials and phases. Although the traditional Lagrangian formulation is well-suited to handling complex material behavior and maintaining material interfaces, it generally cannot represent large deformation, shear and vorticity. This is because in Lagrangian numerical methods the storage points (nodes resp. material points) move with the local material velocity, which may cause mesh tangling resp. clustering of points. The present contribution addresses the development of models for geotechnical and geomechanical processes by utilizing Eulerian and Arbitrary Lagrangian-Eulerian (ALE) formulations. Such non-Lagrangian viewpoints introduce additional difficulties which are discussed in detail. In particular, we investigate how to track interfaces and to model interaction of different materials with respect to an arbitrarily moving control volume, and how to validate non-Lagrangian numerical models by small-scale experimental tests.

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Acknowledgments

The authors gratefully acknowledge the financial support by the German Research Foundation (DFG; Grant SA 310/26-2) as part of the DFG Research Unit FOR 1136. The authors are also grateful to their colleagues in this research unit for collaboration and for helpful discussions.

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  1. Chair of Soil Mechanics and Geotechnical Engineering, Technische Universität Berlin (TU Berlin), Secr. TIB1-B7, Gustav-Meyer-Allee 25, 13355, Berlin, Germany

    Daniel Aubram, Frank Rackwitz & Stavros A. Savidis

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Aubram, D., Rackwitz, F., Savidis, S.A. (2017). Contribution to the Non-Lagrangian Formulation of Geotechnical and Geomechanical Processes. In: Triantafyllidis, T. (eds) Holistic Simulation of Geotechnical Installation Processes. Lecture Notes in Applied and Computational Mechanics, vol 82. Springer, Cham. https://doi.org/10.1007/978-3-319-52590-7_3

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