On the Analysis of an EFG Method Under Large Deformations and Volumetric Locking
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This work investigates a modified element-free Galerkin (MEFG) method when applied to large deformation processes. The proposed EFG method enables the direct imposition of the essential boundary conditions, as a result of the kronecker delta property of the special shape functions, constructed in the neighborhood of the essential boundary. The plasticity model assumes a multiplicative decomposition of the deformation gradient into an elastic and a plastic part and considers a J 2 elasto-plastic constitutive relation that accounts for a nonlinear isotropic hardening. The constitutive model is written in terms of the rotated Kirchhoff stress and of the conjugate logarithmic strain measure. A total Lagrangian formulation is considered in order to improve the computational performance of the proposed algorithm. Here, aspects related to the volumetric locking are numerically investigated and an F-bar approach is considered. Some numerical results are presented, under axisymmetric and plane strain assumption, in order to attest the performance of the proposed method.
KeywordsFinite strains Mesh-free EFG Volumetric locking
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- 3.Alves MK, Rossi R (2005) “An extension of the partition of unity finite element method. J Barz Soc Mech Sci Eng XXVII(3):209–216Google Scholar
- 29.Souza Neto EA, Peric D, Owen DRJ (2002) Computational plasticity: small and large strain finite element analysis of elastic and inelastic solids. Classroom notes University College of Swansea, WalesGoogle Scholar