Aubram, DanielRackwitz, FrankSavidis, Stavros A.2019-10-222019-10-222015-06-12978-3-319-18169-1978-3-319-18170-7https://depositonce.tu-berlin.de/handle/11303/10162http://dx.doi.org/10.14279/depositonce-9151The installation of vibro-injection piles into saturated sand has a significant impact on the surrounding soil and neighboring buildings. It is generally characterized by a multi-material flow with large material deformations, non-stationary and new material interfaces, and by the interaction of the grain skeleton and the pore water. Part 1 in this series of papers is concerned with the mathematical and physical modeling of the multi-material flow associated with vibro-injection pile installation. This model is the backbone of a new multi-material arbitrary Lagrangian-Eulerian (MMALE) numerical method presented in Part 2.en550 Geowissenschaftenmulti-material flowlarge deformationsmixturesoil mechanicssandaveraginghomogenizationclosure lawarbitrary Lagrangian-EulerianBook Part