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CALCULATIONS - Click here to return to overview or click on a title to download the document
- A method for determining mechanical resonance frequencies and for calulating elastic moduli from these frequencies.
Authors: S.Spinner, W.E.Tefft
Language: English
Proceedings ASTM Vol 61, 1961
- Elastic modulus determination of coating layers as applied to layered ceramic materials
Authors: Chin Chen Chu, Eldon D. Case
Language: English
This paper develops relationships for determining the in-plane elastic modulus of a coating by two
experimental techniques: (1) dynamic resonance and (2) static bend. Dynamic resonance measurements on model two-layer and three-laprromposite beams (consisting of bonded strips of alumina and glass) agree well with the relationships developed. In addition, the dynamic resonance and static bend techniques are applied to a Sic coating/graphite substrate composite, where the two methods give statistically similar results for the elastic modulus of the SiC coatings.
- Generalized formulae incorporating Martincek's theory
Authors: D. Adriaensens, G. Aerens, J. Peeters
Language: English
- New formulas improve E-modulus calculations. Disc shaped bodies and rectangular or square bars
Authors: A. Decneut
Language: English
Development work on the GRINDO-SONIC test equipment has produced a simple and accurate means for measuring the fundamental frequency of grinding wheels and honing sticks. This has long been recognised suitable for expressing the relative hardness of similarly shaped bodies. Absolute grading, however, requires that Young's modulus of the bulk material be calculated.
Timoshenko has set forth a basic relation between the natural frequency and the E-modulus of circular plates. The validity of his formula is limited to very thin discs due to the fact that shear forces were not taken into account.
McMaster corrected this formula for perforated discs with relatively small central holes.
Five years of practical experience with the GRINDO-SONIC revealed the need for a wider field of application. To cover the gap, experiments have been performed on a large number of bodies
with widely differing shapes. The results show the unquestionable evidence of cross-influence between hole size and disc thickness, which was neglected by Mcblaster. A mathematical treatment of the experimental data applying a multiple regression technique allowed the computation of a shape factor P ( 6 . 8 ) for hole-to-diameter ratios ranging from 0.0 to 0.8 and for thickness-to-diameter ratios up to 30 %.
For practical purposes, form-factor tables have been edited, together with formulas, greatly simplifying the calculation of the modulus of elasticity.
- Rupture fragile et résistance au chocs thermiques de ceramiques a usages mecaniques
Authors: J. C. Glandus, 1981
Language: French
- The determination of Poisson's ratio and the dynamic modulus of elasticity from the frequencies of natural vibration in thick circular plates
Authors: G. Martincek
Language: English
- Zerstörungsfreie Prüf- und Messmethoden für Beton.
Authors: E. Pohl, 2e Auflage VEB Verlag für Bauer, Berlin
Language: German
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