The numerical non-linear analysis of elastoplastic materials using the radial point interpolation method

• Type: Chapter or Part of a Book
• Date: 2017

Authors

Pedram Farahnak (Author) Other; Erfan Azinpour (Author) Other; Jorge Belinha (Author) Other; José César de Sá (Author) FEUP

Book

Title: Material Modelling: Applications, Challenges and Research

Pages: 215-247

ISBN: 9781536121926; 9781536121612

Indexing

Scopus - 1 Citation

Other information

Authenticus ID: P-00N-9ER

Abstract (EN): In this work, the radial point interpolation technique (RPI) is extended to the analysis of material showing an elasto-plastic behavior. The RPI methodology discretizes the problem domain using only a set of scattered nodes, randomly distributed along the problem domain. Here, the RPI formulation is fully described as nodal connectivity; influence-domains; and shape functions. Additionally, the system of equations, obtained from the weak formulation of Galerkin is presented. Afterwards, the elasto-plastic numerical formulation, which is here adapted to the RPI formulation, is presented and the Newton-Raphson non-linear solution method is described with detail. Several benchmark examples are solved, using both the proposed methodology and the finite element method. In the end, the results are compared and discussed. © 2017 Nova Science Publishers, Inc.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 33