Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/33264

Title: Moving least-squares in finite strain analysis with tetrahedra support
Authors: Areias, Pedro
Fernandes, Leonel
Melicio, Rui
Editors: Elsevier
Keywords: Element-free Galerkin
Meshless
Finite strain plasticity
Large deformations
Moving least-squares
Issue Date: Jun-2022
Publisher: Engineering Analysis with Boundary Elements
Abstract: A finite strain finite element (FE)-based approach to element-free Galerkin (EFG) discretization is introduced, based on a number of simplifications and specialized techniques in the context of a Lagrangian kernel. In terms of discretization, a quadratic polynomial basis is used, support is determined from the number of pre-assigned nodes for each quadrature point and quadrature points coincide with the centroids of tetrahedra. Diffuse derivatives are adopted, which allow for the use of convenient non-differentiable weight functions which approximate the Dirac-Delta distribution. Due to the use of a Lagrangian kernel, recent finite strain elasto-plastic constitutive developments based on the Mandel stress are adopted in a direct form. These recent developments are especially convenient from the implementation perspective, as EFG formulations for finite strain plasticity have been limited by the previous requirement of updating the kernel. We also note that, although tetrahedra are only adopted for integration in the undeformed configuration, mesh deformation is of no consequence for the results. Four 3D benchmark tests are successfully solved.
URI: https://www.sciencedirect.com/science/article/pii/S0955799722000431
http://hdl.handle.net/10174/33264
Type: article
Appears in Collections:DEM - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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