Polynomial expressions for estimating elastic constants from the resonance of circular plates

Two approaches were taken to make convenient spread sheet calculations of elastic constants from resonance data and the Tables in ASTM C1259 and E1876: (1) polynomials were fit to the tables; (2) an automated spread sheet interpolation routine was generated. To compare the approaches, the resonant f...

Full description

Saved in:
Bibliographic Details
Published in:Materials science & engineering. A, Structural materials : properties, microstructure and processing Structural materials : properties, microstructure and processing, 2006-04, Vol.422 (1), p.292-297
Main Authors: Salem, Jonathan A., Singh, Abhishek
Format: Article
Language:English
Subjects:
Applied sciences
Ceramics
Circular plates
Condensed matter: structure, mechanical and thermal properties
Dynamic modulus of elasticity
Elasticity, elastic constants
Elasticity. Plasticity
Exact sciences and technology
Interpolation
Mechanical and acoustical properties of condensed matter
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Mechanical properties of solids
Metals
Metals. Metallurgy
Physics
Poisson's ratio
Resonance
Resonant vibration
Young's modulus
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Two approaches were taken to make convenient spread sheet calculations of elastic constants from resonance data and the Tables in ASTM C1259 and E1876: (1) polynomials were fit to the tables; (2) an automated spread sheet interpolation routine was generated. To compare the approaches, the resonant frequencies of circular plates made of glass, hardened maraging steel, alpha silicon carbide, silicon nitride, tungsten carbide, tape cast NiO–YSZ, and zinc selenide were measured. The elastic constants, as calculated via the polynomials and linear interpolation of the tabular data in ASTM C1259 and E1876, were found comparable for engineering purposes, with the differences typically being less than 0.5%. Calculation of additional ν values at t/ R between 0 and 0.2 would allow better curve fits. This is not necessary for common engineering purposes, however, it might benefit the testing of emerging thin structures such as fuel cell electrolytes, gas conversion membranes, and coatings when Poisson's ratio is less than 0.15 and high precision is needed.
ISSN:0921-5093
1873-4936
DOI:10.1016/j.msea.2006.02.023