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Stress singularities in a model of a wood disk under sinusoidal pressureAuthor(s): Jay A. Johnson; John C. Hermanson; Steven M. Cramer; Charles Amundson
Source: Journal of engineering mechanics. (Feb. 2005): pages 153-160.
Publication Series: Miscellaneous Publication
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DescriptionA 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.
CitationJohnson, 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.
KeywordsAnisotropic materials, elastic analysis, mathematical models, stress analysis, wood products, pressures
- Determination of transverse elastic constants of wood using a cylindrically orthotropic model
- Laminated beams of isotropic or orthotropic materials subjected to temperature change
- Effect of elliptic or circular holes on the stress distribution in plates of wood or plywood considered as orthotropic materials
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