Sociedad Española de Integridad Estructural
Grupo Español de Fractura

Sociedad Española de Integridad Estructural
Grupo Español de Fractura

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NUMERICAL MODELLING OF CORNER POINT SINGULARITIES AND THEIR EFFECT ON THE CLOSURE BEHAVIOUR OF 3D FATIGUE CRACKS

P. F. P. de Matos  D. Nowell       

Anales de la Mecánica de la Fractura, nº 27 . 2010 . Pág. -
Ver (.pdf): 34

Resumen: Although real cracks are inherently three-dimensional, relatively little effort has been put into the study of 3D cracks from both linear elastic and elastic-plastic points of view. Analytical solutions are difficult to obtain, and threedimensional numerical simulations are complex and time consuming. Due to these limitations, the understanding of three-dimensional fatigue crack propagation has remained a challenging problem for the fatigue research community. The need to improve fatigue life predictions, particularly in aircraft structures, has been a motivation for research in this area. One of the outcomes of the research carried out over the last few decades is that fatigue cracks in metals are partially closed over part of the load cycle. This phenomenon of crack closure is thought by many to be the key to understanding the effect of non-uniform loading.This paper investigates the influence of surface effects on the closure behaviour of 3D fatigue cracks. Linear elastic analyses of 3D cracks show that Poisson's ratio influences the stress field close to the free surface. A 'corner point' singularity exists which differs from the usual 1/ r value for 2D cracks. In this region, both crack closure and corner point singularities are essentially 'free surface' effects and it is difficult to investigate 3D crack closure without addressing the associated stress singularity problem. The aim of this paper is to investigate the influence of free surface effects on the closure behavior of 3D fatigue cracks, addressing some numerical difficulties related to FE modeling of the problem.

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University of Oxford, Department of Engineering Science, Parks Road, Oxford, OX1 3PJ, United Kingdom.





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