A model has been developed to assess the structural assessment of functionally graded materials in which yield strength and toughness vary spatially. The yield strength of the material at any point is deterministic, but varies spatially. The local cleavage toughness also varies spatially, but is statistically distributed following a two parameter Weibull model. The Weibull moduli quantify reliability and the second Weibull parameter is interpreted in terms of the mean toughness of the local material. The model intended to determine the crack propagation direction and failure probabilities of a stationary pre-crack. The effect of simple yield strength and toughness gradients are discussed, before the model is applied to experimental data on laser welded joints.
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ASME 2005 Pressure Vessels and Piping Conference
July 17–21, 2005
Denver, Colorado, USA
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
0-7918-4191-X
PROCEEDINGS PAPER
A Statistical Model for Brittle Fracture of Functionally Graded Materials
Bostjan Bezensek,
Bostjan Bezensek
University of Maribor, Maribor, Slovenia
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Anuradha Banerjee,
Anuradha Banerjee
Massachusets Institute of Technology, Cambridge, MA
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John W. Hancock
John W. Hancock
University of Glasgow, Glasgow, Scotland, UK
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Bostjan Bezensek
University of Maribor, Maribor, Slovenia
Anuradha Banerjee
Massachusets Institute of Technology, Cambridge, MA
John W. Hancock
University of Glasgow, Glasgow, Scotland, UK
Paper No:
PVP2005-71152, pp. 95-101; 7 pages
Published Online:
July 29, 2008
Citation
Bezensek, B, Banerjee, A, & Hancock, JW. "A Statistical Model for Brittle Fracture of Functionally Graded Materials." Proceedings of the ASME 2005 Pressure Vessels and Piping Conference. Volume 6: Materials and Fabrication. Denver, Colorado, USA. July 17–21, 2005. pp. 95-101. ASME. https://doi.org/10.1115/PVP2005-71152
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