Modelling of Internal Stresses in Sheet Glass during the Cooling
Saci Benbahouche, Fouad Roumili, Jean-Christophe Sangleboeuf
DOI: 10.4236/wjnse.2011.12004   PDF    HTML     6,399 Downloads   11,655 Views   Citations


Internal stresses in glass are generated by interactions between thermal contraction, elasticity at low tem-peratures, viscoelastic flow at higher temperature, and temperature gradients caused by cooling. This work intends to work out calculation program for real temperature distribution and internals stress, and to study their behaviour during the quenching through a flat plate of soda-lime glass from different temperatures.

Share and Cite:

S. Benbahouche, F. Roumili and J. Sangleboeuf, "Modelling of Internal Stresses in Sheet Glass during the Cooling," World Journal of Nano Science and Engineering, Vol. 1 No. 2, 2011, pp. 21-26. doi: 10.4236/wjnse.2011.12004.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] L.H. Adams, E.D. Williamson; “Annealing of Glass”, J. Franklin Instit., Vol. 190, N.5, 1920 pp. 597-631, pp. 835-87.
[2] E.H. Lee, T.G. Rogers, T.C. Woo “Residual Stresses in a Glass Plate Cooled Symmetrically From Both Surfaces”, J. Am. Ceram. Soc., Vol. 48, N9, 1965, pp. 480-487.
[3] O.S. Narayanaswamy, R. Gardon, “Calculation of Residual Stress in Glass”, J. Am. Ceram. Soc., Vol. 52, N10, 1969, pp. 554-558.
[4] O.S. Narayanaswamy, “Stress and Structural Relaxation in Tempering Glass”, J. Am. Ceram. Soc., Vol. 61, N3-4, 1978, pp. 146-152.
[5] D.R. Uhlmann, N.J. Kreidel, “Tempering of Glass”, Glass Science and Technology, Vol. 5, Chap. 5, by R. Gardon, 1980, pp. 145-213.
[6] H.S. Carslav, J.C. Jaeger, “Conduction of Heat in Solids”, Oxford University Press; Oxford, England, 1947, pp. 154-165.
[7] J. Kavka, “Calcul de la Déformation et de Contrainte Interne Durant la Première Phase de Refroidissement”, Thèse de Doctorat, Institut d’Etat de Recherche verrière, Hradec Kralove, République Tchèque, 1980.
[8] A.Q. Tool, “Relation Between Inelastic Deformability and Thermal Expansion of Glass in Ets Annealing Range”, J. Am. Ceram. Soc., Vol.29, N9, 1946, pp. 240- 253.
[9] R. Gardon, O.S. Narayanaswamy, “Stress and Volume Relaxation in the Annealing of Flat Glass”, J. Am. Ceram. Soc., Vol. 53, N7, 1970, pp. 380-385.
[10] S.M. Ohlberg, T.C. Woo, “Thermal Stress analysis of Glass With Dependent Coefficient of Expansion”, P.P.G. Industries Inc., University Pittsburg, Pennsylvany (U.S.A.), 1972.
[11] E.H. Lee, T.G. Rogers, “Non-linear Effects of Temperature Variation in Stress Analysis o Isothermally Liear Visco-elastic Materials”, Proceedings of IUTAM Symposium on Second-order, Haifa, Pergamon Press, pp. 77, 1964.
[12] O.S. Narayanaswamy, “A Model of Structural Relaxation in Glass”, J. Am. Ceram. Soc., Vol. 54, N10, 1971, pp. 491-498.
[13] S.M. Rekhson, O.V. Mazurin, “Stress and Structural Relaxation in Na2O-CaO-SiO2 Glass”, J. Am. Ceram. Soc., Vol. 57, N7, 1974, pp. 327-328.
[14] E.H. Lee, T.G. Rogers, “Solution of Visco-elastic Stress analysis Problems Using Measured Creep or Relaxation Function”, J. Appl. Mech., Vol. 30, N3, 1963, pp. 127- 133.
[15] R. Muki, E. Sternberg, “Transient Thermal Stress in Visco-elastic Materrials With Temperature Dependent Properties”, J. Appl. Mech., Vol. 28, N2, 1961, pp. 193- 207.
[16] George W. Scherer, S.M. Rekhson, “Voiscoelastic – Elastic Composites: I, General Theory”, J. Am. Ceram. Soc., Vol. 65, N7, 1982, pp. 352-360.
[17] N. Piskounov, “Calcul Différentiel et Intégral”, Tome II, Edition Moskou.
[18] F. Beranek, “Vypocet Rozdeleni Teplot ve Vyrobcich ze Skla”, Informativni Prehed, Vol. 19, N4, H. Kralove, Cesky Republic, 1976.
[19] M. Goldstein, M. Nakonecznyj, “Volume Relaxation in Zinc Chloride Glass”, Phys. Chem. Glasses, Vol. 6, N4, 1965, pp. 126-133.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.