Modeling of Moving Boundaries in Large Plasticity Deformations via an Enriched Arbitrary Lagrangian-Eulerian FE Method


Department of Civil Engineering,Sharif University of Technology


In this paper, a new computational technique is presented for the modeling of moving
boundaries in large plastic deformations based on an enriched arbitrary Lagrangian-Eulerian nite element
method. An Arbitrary Lagrangian-Eulerian (ALE) technique is employed to capture the advantages of
both Lagrangian and Eulerian methods and alleviate the drawbacks of mesh distortion in Lagrangian
formulation. An enriched nite element method is implemented based on the extended FEM technique
to capture the arbitrary interfaces independent of element boundaries. The process is accomplished by
performing a splitting operator to separate the material (Lagrangian) phase from the convective (Eulerian)
phase, and partitioning the Lagrangian and relocated meshes with some sub-quadrilaterals whose Gauss
points are used for integration of the domain of elements. In order to demonstrate the eciency of
the enriched ALE nite element model in large deformations, several numerical examples including the
coining problem with horizontal and vertical moving boundaries and a tensile plate with a moving interface
are presented and the results are compared with those of the standard nite element and extended nite
element methods.