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
Formulation and survey of ALE method in nonlinear solid mechanics
Finite Elements in Analysis and Design
A parallel algorithm for multilevel graph partitioning and sparse matrix ordering
Journal of Parallel and Distributed Computing
Meshless Galerkin methods using radial basis functions
Mathematics of Computation
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
Engineering with Computers
Alternative stress-integration schemes for large-deformation problems of solid mechanics
Finite Elements in Analysis and Design
Metal forming analysis using the edge-based smoothed finite element method
Finite Elements in Analysis and Design
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This paper presents a decoupled Arbitrary Lagrangian-Eulerian (ALE) approach for the large deformation analysis of plane-strain elastoplastic problems. In this decoupled approach, the Eulerian step consists of first remeshing the deformed continuum and then remapping the state variables at the new quadrature points. Remeshing is performed without altering the element topology of the original mesh with the aid of the Spring Analogy Method enhanced with torsional springs. Before remeshing, nodes at free boundaries are relocated using an analytical approach, in order to preserve a good node distribution throughout the analysis. State variable remapping is achieved through the Radial Basis Point Interpolation Functions scheme. Large deformation elastoplastic analyses of two plane strain example problems are conducted using the presented ALE approach to test its robustness and effectiveness. The continuum is modeled as a Tresca or Mohr-Coulomb elastic-perfectly plastic material, while the meshes consist of second-order finite elements. The numerical results demonstrate that the present methodology is capable of predicting with adequate accuracy the load-displacement response even in analyses involving very large translations of the loaded boundary.