TY - JOUR

T1 - An ALE method for penetration into sand utilizing optimization-based mesh motion

AU - Aubram, D.

AU - Rackwitz, F.

AU - Wriggers, P.

AU - Savidis, S. A.

N1 - 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.

PY - 2015/1/15

Y1 - 2015/1/15

N2 - 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.

AB - 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.

KW - Arbitrary lagrangian-eulerian

KW - Large deformations

KW - Penetration

KW - Pile

KW - Sand

UR - http://www.scopus.com/inward/record.url?scp=84921055068&partnerID=8YFLogxK

U2 - 10.1016/j.compgeo.2014.12.012

DO - 10.1016/j.compgeo.2014.12.012

M3 - Article

AN - SCOPUS:84921055068

VL - 65

SP - 241

EP - 249

JO - Computers and geotechnics

JF - Computers and geotechnics

SN - 0266-352X

ER -