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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016-01-01

Autores

Jorge Belinha (Autor) FEUP; Jose Azevedo (Autor) Outra; Lúcia Maria Dinis (Autor) FEUP; Renato Natal Jorge (Autor) FEUP

Revista

Título: International Journal of Applied Mechanics

Vol. 08

Páginas: 1650006-1650006

ISSN: 1758-8251

Editora: World Scientific

Indexação

ISI Web of Knowledge - 12 Citações

ISI Web of Science

Scopus - 32 Citações

Outras Informações

ID Authenticus: 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

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 32