An efficient, accurate, simple ALE method for nonlinear finite element programs
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity
Computer Methods in Applied Mechanics and Engineering
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Meshless Galerkin methods using radial basis functions
Mathematics of Computation
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
Planar quadrilateral quality measures
Engineering with Computers
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
Engineering with Computers
Mesh deformation based on radial basis function interpolation
Computers and Structures
Refined h-adaptive finite element procedure for large deformation geotechnical problems
Computational Mechanics
A robust finite element approach for large deformation elastoplastic plane-strain problems
Finite Elements in Analysis and Design
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This work investigates the performance of various remeshing and remapping algorithms for the finite element simulation of plane-strain large deformation elastoplastic problems using a decoupled arbitrary Lagrangian-Eulerian approach. The remeshing algorithms, which are herein adjusted to the needs of elastoplastic deformation analyses, are the Elastic Rebound approach, the Spring Analogy Method and the Radial Basis Functions. The remapping algorithms are the Inverse Distance Algorithm and two data interpolation schemes, namely the Radial Basis Point Interpolation Functions and the Radial Basis Functions. The efficiency and robustness of the algorithms are assessed by simulating the penetration of a rigid flat punch.