Mixed-mode fracture analysis of orthotropic functionally graded materials

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2005

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Sarıkaya, Duygu

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Functionally graded materials processed by the thermal spray techniques such as electron beam physical vapor deposition and plasma spray forming are known to have an orthotropic structure with reduced mechanical properties. Debonding related failures in these types of material systems occur due to embedded cracks that are perpendicular to the direction of the material property gradation. These cracks are inherently under mixed-mode loading and fracture analysis requires the extraction of the modes I and II stress intensity factors. The present study aims at developing semi-analytical techniques to study embedded crack problems in graded orthotropic media under various boundary conditions. The cracks are assumed to be aligned parallel to one of the principal axes of orthotropy. The problems are formulated using the averaged constants of plane orthotropic elasticity and reduced to two coupled integral equations with Cauchy type dominant singularities. The equations are solved numerically by adopting an expansion - collocation technique. The main results of the analyses are the mixed mode stress intensity factors and the energy release rate as functions of the material nonhomogeneity and orthotropy parameters. The effects of the boundary conditions on the mentioned fracture parameters are also duly discussed.

Subject Keywords

Mechanical engineering.

URI

http://etd.lib.metu.edu.tr/upload/12606451/index.pdf
https://hdl.handle.net/11511/15470

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

D. Sarıkaya, “Mixed-mode fracture analysis of orthotropic functionally graded materials,” M.S. - Master of Science, Middle East Technical University, 2005.