The Natural Neighbor Radial Point Interpolation Method in Computational Fracture Mechanics: A 2D Preliminary Study

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

Authors

Jorge Belinha (Author) FEUP; Azevedo, JMC (Author) Other; Lúcia Maria Dinis (Author) FEUP; Renato Natal Jorge (Author) FEUP

Journal

Title: International Journal of Computational Methods

Vol. 14

Final page: 1750045

ISSN: 0219-8762

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 9 Citations

Other information

Authenticus ID: P-00M-R0V

DOI: 10.1142/s0219876217500451

Abstract (EN): In this work, the natural neighbor radial point interpolation method (NNRPIM) is extended to the numeric analysis of crack propagation problems. Here, the advanced discretization meshless technique is combined with a linear elastic crack growth algorithm. The algorithm simulates the crack propagation by displacing iteratively the crack tip, which consequently requires a local remeshing. In each iteration, it is estimated the stress state in the crack tip and afterwards the direction of the crack propagation is obtained considering the maximum circumferential stress criterion. The required local remeshing does not represent a numeric difficulty for the NNRPIM. The main advantage of the NNRPIM is its capability to fully discretize the problem domain using only an unstructured nodal distribution. Being a truly meshless method, the NNRPIM is able to define autonomously the nodal connectivity and the background integration mesh. The classic NNRPIM formulation permits to enforce the nodal connectivity by means of two kind of influence-cells: first degree influence-cells or second degree influence-cells. This work investigates the influence of the nodal connectivity on the simulated crack propagation path. Thus, demanding benchmark crack propagation examples are studied and the obtained results are compared with reference solutions available in the literature.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25