Nbr.

Reference Citation

1

S. Timoshenko, Theory of Elasticity, McGrawHill, New York (1934).

2

R. Hooke, De Potentia Restitutiva, London (1678).

3

T. Young, On the Equilibrium and Strength of Elastic Substances, Mathematical Elements of Natural Philosophy, Vol. II of Dr. Young's Lectures , Section IX, p. 46 (1807).

4

C. A. Coulomb, Theoretical and Experimental Researches on the Force of Torsion and on the Elasticity of Metal Wires, Histoire de l'Academie des Sciences, Year 1784 , pp. 229269 (1787).

5

ASTM, American Society for Testing and Materials, West Conshohocken, Pennsylvania.

6

G. Pickett, Equations for Computing Elastic Constants from Flexural and Torsional Resonant Frequencies of Vibration of Prisms and Cylinders, American Society for Testing and Materials, Proceedings, Vol. 45, pp. 846865 (1945).

7

S. Spinner and W. E. Tefft, A Method for Determining Mechanical Resonance Frequencies and for Calculating Elastic Moduli from These Frequencies, American Society for Testing and Materials, Proceedings, Vol. 61, pp. 12211238 (1961).

8

G. Roebben, B. Bollen, A. Brebels, J. Van Humbeeck, and O. Van der Biest, Impulse Excitation Apparatus to Measure Resonant Frequencies, Elastic Moduli, and Internal Friction at Room and High Temperature, Reviews of Scientific Instruments, Vol. 68, No. 12, pp. 45114515 (1997).

9

J. T. Richards, An Evaluation of Several Static and Dynamic Methods for Determiing Elastic Moduli, ASTM STP No. 129, American Society for Testing Materials, Philadelphia, pp. 7198 (1952).

10

S. Spinner and R. C. Valore, Jr., Comparison of Theoretical and Empirical Relations Between the Shear Modulus and Torsional Resonance Frequencies for Bars of Rectangular Cross Section, Journal of Research of the National Bureau of Standards, Vol. 60, No. 5, pp. 459464 (1958).

11

S. Spinner, T. W. Reichard, and W. E. Tefft, A Comparison of Experimental and Theoretical Relations Between Young's Modulus and the Flexural and Longitudinal Resonance Frequencies of Uniform Bars, Journal of Research of the National Bureau of Standards, Vol. 64A, No. 2, pp. 147155 (1960).

12

J. S. Smith, M. D. Wyrick, and J. M. Poole, An Evaluation of Three Techniques for Determining the Young's Modulus of Mechanically Alloyed Materials, ASTM STP 1045, edited by A. Wolfenden, American Society for Testing and Materials, Philadelphia, pp. 195207 (1990).

13

A. Wolfenden, M. R. Harmouche, G. V. Blessing, Y. T. Chen, P. Terranova, V. Dayal, V. K. Kinra, J. W. Lemmens, R. R. Phillips, J. S. Smith, P. Mahmoodi, and R. J. Wann, Dynamic Young's Modulus Measurements in Metallic Materials: Results of an Interlaboratory Testing Program, Journal of Testing and Evaluation, Vol. 17, No. 1, pp. 213 (1989).

14

R. W. Dickson and J. B. Wachtman, Jr., An Alumina Standard Reference Material for Resonance Frequency and Dynamic Elastic Moduli Measurement, I. For Use at 25 °C, Journal of Research of the National Bureau of Standards, Vol. 75A, No. 3, pp. 155162 (1971).

15

R. W. Rice, Porosity of Ceramics, Marcel Dekker, N 