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

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 effciency of the enriched ale finite 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 finite element and extended finite element methods.