TY - JOUR A1 - Aubram, Daniel A1 - Rackwitz, Frank A1 - Wriggers, Peter A1 - Savidis, Stavros A. T1 - An ALE method for penetration into sand utilizing optimization-based mesh motion JF - Computers and Geotechnics 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. KW - Arbitrary Lagrangian-Eulerian KW - COHESIONLESS SOILS KW - FINITE-ELEMENT METHOD KW - FLOW KW - INTEGRATION KW - Large deformations KW - LARGE-DEFORMATION ANALYSIS KW - MODEL KW - Penetration KW - Pile KW - RATE CONSTITUTIVE-EQUATIONS KW - Sand KW - STRATEGIES Y1 - 2015 U6 - https://doi.org/10.1016/j.compgeo.2014.12.012 IS - 65 SP - 241 EP - 249 PB - Elsevier ER -