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TECHNICAL PAPERS

Modeling of Threshold Strength in Cylindrical Ceramic Structures

[+] Author and Article Information
Fjóla Jónsdóttir

Department of Mechanical and Industrial Engineering, University of Iceland, Reykjavik, Icelande-mail: fj@hi.is

Glenn E. Beltz, Robert M. McMeeking

Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106-5070

J. Appl. Mech 72(3), 381-388 (May 06, 2005) (8 pages) doi:10.1115/1.1831296 History: Received June 30, 2003; Revised July 09, 2004; Online May 06, 2005
Copyright © 2005 by ASME
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References

Figures

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(a) Schematic and (b) micrograph of a three-dimensional ceramic architecture. As a material example, the solid core consists of alumina (Al2O3), while the thinner, compressive coating-like phase consists of a mixture of mullite and Al2O3 (micrograph courtesy of M. Snyder).
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Schematic of an infinite cylindrical structure containing a penny-shaped crack in its interior (tensile) phase
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Stresses in a loaded cylindrical ceramic architecture can be obtained via superposition
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Schematic of the semi-infinite cylindrical structure with a half-penny shaped crack emanating from the free surface
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Typical finite element model with singular elements around the crack tip
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Comparison of calculated and theoretical stress intensity factors. Tensile and compressive layers have equal thicknesses. Thickness of tensile layer is 2ra=200 μm.
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Comparison of calculated and theoretical stress intensity factors. Thickness of compressive layer is one tenth the diameter of the tensile zone. Diameter of tensile zone is 2ra=450 μm.
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Comparison of calculated and theoretical stress intensity factors. Tensile and compressive layers have equal thicknesses. Thickness of tensile layer is 2ra=200 μm.
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Comparison of calculated and theoretical stress intensity factors. Thickness of compressive layer is one tenth the diameter of the tensile zone. Diameter of tensile layer is 2ra=450 μm.
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Threshold strength versus fracture toughness for a full-penny shaped crack
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Threshold strength versus fracture toughness for a half-penny shaped crack. Results are shown for angle θ=60°.

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