The anisotropic elasto-plastic analysis using a natural neighbour RPIM version

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Moreira, SF (Author) Other; Jorge Belinha (Author) FEUP; Lúcia Maria Dinis (Author) FEUP; Renato Natal Jorge (Author) FEUP

Journal

Title: Journal of the Brazilian Society of Mechanical Sciences and Engineering

Vol. 39

Pages: 1773-1795

ISSN: 1678-5878

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 13 Citations

Other information

Authenticus ID: P-00M-PJZ

DOI: 10.1007/s40430-016-0603-x

Abstract (EN): In this work, the natural neighbour radial point interpolation method (NNRPIM), an advanced discretization meshless technique, is used to study several solid mechanics benchmark examples considering an elasto-plastic approach. The NNRPIM combines the radial point interpolators (RPI) with the natural neighbour geometric concept. The nodal connectivity and the background integration mesh depend entirely on the nodal discretization and are both achieved using mathematic concepts, such as the Vorono < diagram and the Delaunay tessellation. The obtained interpolation functions, used in the Galerkin weak form, are constructed with the RPI and possess the delta Kronecker property, which facilitates the imposition of the natural and essential boundary conditions. Due to the organic procedure employed to impose the nodal connectivity, the obtained displacement and the stress field are smooth and accurate. Since the scope of this work is to extend and validate the NNRPIM in the anisotropic elasto-plastic analysis, it is used as nonlinear solution algorithm, the modified Newton-Raphson initial stiffness method. The efficient "backward-Euler" procedure is considered to return the stress to the Hill anisotropic yield surface. The elasto-plastic algorithm of solution is described. Several benchmark two-dimensional problems are solved, considering anisotropic elasto-plastic materials with anisotropic hardening, and the obtained solutions are compared with finite-element solutions, showing that the meshless approach developed is efficient and accurate.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23