The Natural Neighbor Radial Point Interpolation Method Extended to the Crack Growth Simulation

• Type: Article in International Scientific Journal
• Date: 2016-01-01

Authors

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

Journal

Title: International Journal of Applied Mechanics

Vol. 08

Pages: 1650006-1650006

ISSN: 1758-8251

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 12 Citations

ISI Web of Science

Scopus - 32 Citations

Other information

Authenticus ID: P-00N-CSG

DOI: 10.1142/s175882511650006x

Abstract (EN): In the present work, the Natural Neighbor Radial Point Interpolation Method (NNRPIM) is used to simulate the crack growth phenomenon in brittle materials. In order to discretize the problem domain, the NNRPIM only requires an unstructured nodal distribution. With the spatial information of the computational nodes, the NNRPIM is capable to automatically establish the nodal connectivity and to construct the interpolation functions. Additionally, using the natural neighbor geometrical concept, the NNRPIM is able to obtain, from the unstructured nodal distribution, the integration background mesh required to numerically integrate the integro-differential equations ruling the studied physical phenomenon. In this work, a crack opening path algorithm is adapted and combined with the NNRPIM. The developed algorithm is able to predict the crack growth by relocating iteratively the crack tip. The stress field in the vicinity of the crack tip is determined in each iteration and then, using the maximum circumferential stress criterion, the direction of the crack propagation is calculated. Here, the repositioning of the crack tip requires a local re-meshing. However, due to the flexibility of the natural neighbor concept, the local re-meshing do not represent a numerical difficulty. Additionally, in order to show the efficiency of the proposed approach, several demanding crack growth benchmark examples are solved. © 2016 World Scientific Publishing Company

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 32