Stress-relaxation measurements were performed on specimens of radicular human dentin. The relaxation modulus showed a linear dependence on the logarithm of time and the approximation to the logarithmic distribution function of relaxation times was used to predict the behavior of other viscoelastic properties. This experimental technique provides significant criteria for the design of polymeric restorative and prosthetic materials.
Get full access to this article
View all access options for this article.
References
1.
Black, G.: Physical Characters of the Human Teeth, Dent Cosmos37: 353-421, 1895.
2.
Craig, R., and Peyton, F.: Elastic and Mechanical Properties of Human Dentin, J Dent Res37: 710-718, 1958.
3.
Craig, R., and Peyton, F.: The Microhardness of Enamel and Dentin, J Dent Res37: 661-668, 1958.
4.
Yamada, H.: Strength of Biological Materials, Baltimore: Williams & Wilkins Co., 1970, pp 148-150.
5.
Lehman, M.L. : Tensile Strength of Human Dentin, J Dent Res46: 197-201, 1967.
6.
Stanford, J. ; Paffenbarger, G.; Kumpula, J.; and Sweeney, W.: Determination of Some Compressive Properties of Human Enamel and Dentin, JADA57: 487-495, 1958.
7.
Lugassy, A.: Mechanical and Viscoelastic Properties of Cow Bone and Sperm Whale Dentin Studied Under Compression, PhD thesis, University of Pennsylvania , 1968, p 122.
8.
Lugassy, A., and Korostoff, E.: Viscoelastic Behavior of Bovine Femoral Cortical Bone and Sperm Whale Dentin , in Korostoff, E. (ed) : Research in Dental and Medical Materials, New York: Plenum Press, 1969, pp 1-17.
9.
Alfrey, T., and Doty, P.: The Methods of Specifying the Properties of Viscoelastic Ma· terials, J Appl Physics16: 703, 1945.
10.
Tobolsky, A.: Properties and Structure of Polymers, New York: John Wiley and Sons, Inc., 1960, pp 120-126.
11.
Tomalin, D.: The Dynamics of Initial Plasticity in High Purity Iron Single Crystals, PhD thesis, University of Pennsylvania, 1970, pp 66-67.
12.
Gross, B.: On Creep and Relaxation: I, J Appl Physics18: 212, 1947.
13.
Gross, B.: On Creep and Relaxation: II, J Appl Physics19: 157, 1948.
14.
Schwarzl, F. , and Staverman, A.: Higher Approximation Methods for the Relaxation Spectrum from Static and Dynamic Measurements of Viscoelastic Materials, Appl Sci ResA4: 127-141, 1953.
15.
Schwarzl, F.: The Accurate Determination of Relaxation Spectra, in Harrison, V. (ed) : Proceedings of the Second International Congress on Rheology, New York: Academic Press, Inc., 1954, pp 197-201.
16.
Heading, J.: Mathematical Methods in Science and Engineering, 2nd ed, New York: American Elsevier Publishing Co., Inc., 1970, pp 613-615.
17.
Sokolnikoff, I., and Redheffer, R.: Mathematics of Physics and Modern Engineering , New York: McGraw-Hill Book Co. , 1966, p 641.
18.
Wilson, E., JR.: An Introduction to Scientific Research, New York: McGraw-Hill Book Co., Inc. 1951, p 269.
19.
Tobolsky, A. : Stress Relaxation Studies on the Viscoelastic Properties of Polymers, J Appl Physics27: 673, 1956.
20.
Tobolsky, S. ; Dunnell, B.; and Andrews, R.: Stress Relaxation and Dynamic Properties of Polymers, Textile Research Journal21: 407, 1951.
21.
Loman, A.: Tables of Sine, Cosine and Exponential Integrals, New York : Federal Works Agency, 1940.
22.
Smith, R., and Keiper, D.: Dynamic Measurements of the Viscoelastic Properties of Bone, Am J Med Electronics, October 1965, pp 156-160.
23.
Meares, P.: Polymers-Structure and Bulk Properties, New York: D. van Nostrand Company, 1965, p 291.
24.
Smith, T.: Approximate Equations for Interconverting the Various Mechanical Properties of Linear Viscoelastic Materials, Second Trans Soc Rheology, II2: 131, 1958.