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    Author(s): Jay A. Johnson; John C. Hermanson; Steven M. Cramer; Charles Amundson
    Date: 2005
    Source: Journal of engineering mechanics. (Feb. 2005): pages 153-160.
    Publication Series: Miscellaneous Publication
    PDF: Download Publication  (201 KB)


    A thin, solid, circular wood disk, cut from the transverse plane of a tree stem, can be modeled as a cylindrically orthotropic elastic material. It is known that a stress singularity can occur at the center of a cylindrically orthotropic disk subjected to uniform pressure. If a solid cylindrically orthotropic disk is subjected to sinusoidal pressure distributions, then other stress singularities can also occur in the disk. The criterion for the existence of these singularities is based on a simple relationship between two dimensionless elastic constant parameters and the sinusoidal pressure loading mode number. For a given set of elastic constants, only a finite number of lower sinusoidal modes will produce stress singularities. In this paper, the mathematical relationships between these parameters are derived.

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    Johnson, Jay A.; Hermanson, John C.; Cramer, Steven M.; Amundson, Charles. 2005. Stress singularities in a model of a wood disk under sinusoidal pressure. Journal of engineering mechanics. (Feb. 2005): pages 153-160.


    Anisotropic materials, elastic analysis, mathematical models, stress analysis, wood products, pressures

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