An ALE method for penetration into sand utilizing optimization-based mesh motion

authored by: D. Aubram, F. Rackwitz, P. Wriggers, S. A. Savidis
Abstract: The numerical simulation of penetration into sand is one of the most challenging problems in computational geomechanics. The paper presents an arbitrary Lagrangian-Eulerian (ALE) finite element method for plane and axisymmetric quasi-static penetration into sand which overcomes the problems associated with the classical approaches. An operator-split is applied which breaks up solution of the governing equations over a time step into a Lagrangian step, a mesh motion step, and a transport step. A unique feature of the ALE method is an advanced hypoplastic rate constitutive equation to realistically predict stress and density changes within the material even at large deformations. In addition, an efficient optimization-based algorithm has been implemented to smooth out the non-convexly distorted mesh regions that occur below a penetrator. Applications to shallow penetration and pile penetration are given which make use of the developments.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Technische Universität Berlin
The Regensburg University of Applied Sciences
Type: Article
Journal: Computers and geotechnics
Volume: 65
Pages: 241-249
No. of pages: 9
ISSN: 0266-352X
Publication date: 15.01.2015
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Geotechnical Engineering and Engineering Geology, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.compgeo.2014.12.012 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{11282d8a484d4ee5be358143e03af253,
title = "An ALE method for penetration into sand utilizing optimization-based mesh motion",
abstract = "The numerical simulation of penetration into sand is one of the most challenging problems in computational geomechanics. The paper presents an arbitrary Lagrangian-Eulerian (ALE) finite element method for plane and axisymmetric quasi-static penetration into sand which overcomes the problems associated with the classical approaches. An operator-split is applied which breaks up solution of the governing equations over a time step into a Lagrangian step, a mesh motion step, and a transport step. A unique feature of the ALE method is an advanced hypoplastic rate constitutive equation to realistically predict stress and density changes within the material even at large deformations. In addition, an efficient optimization-based algorithm has been implemented to smooth out the non-convexly distorted mesh regions that occur below a penetrator. Applications to shallow penetration and pile penetration are given which make use of the developments.",
keywords = "Arbitrary lagrangian-eulerian, Large deformations, Penetration, Pile, Sand",
author = "D. Aubram and F. Rackwitz and P. Wriggers and Savidis, {S. A.}",
note = "Funding information: The presented research work was carried out under the financial support from the German Research Foundation (DFG), Grants SA 310/21-1 and SA 310/21-2 , which is gratefully acknowledged.",
year = "2015",
month = jan,
day = "15",
doi = "10.1016/j.compgeo.2014.12.012",
language = "English",
volume = "65",
pages = "241--249",
journal = "Computers and geotechnics",
issn = "0266-352X",
publisher = "Elsevier BV",
}