DOI QR코드

DOI QR Code

Prediction of Birefringence Distribution in Cylindrical Glass Compression Test

유리 압축 실험에서의 복굴절 분포 예측

  • 이주현 (서울대학교 대학원) ;
  • 나진욱 (서울대학교 대학원) ;
  • 임성한 (서울대학교 정밀기계설계공동연구소) ;
  • 오수익 (서울대학교 기계항공공학부)
  • Published : 2004.10.01

Abstract

An analysis using FEM simulation was conducted to predict residual stresses and birefringence in simple compressed cylindrical glass as a preliminary part of the optimum design determination of optical lenses. The FEM simulation with the Maxwell viscoelastic constitutive model was used to predict thermal induced residual stresses and birefringence during the compression test considering stress relaxation. Also the linear photoelastic theory was introduced to calculate birefringence from the residual stress state. The error of simulation results between experimental results in the birefringence value at the center of glass specimen is $4.2\%$, and the error in the maximum radius of deformed glass specimen is $1.2\%$. The simulation results were in good agreement with deformation and birefringence distribution in the existing experimental result.

Keywords

References

  1. H. Aben, C. Guillemet, Photoelasticity of Glass, Springer-Verlag, 1993, pp. 51-68, 102-119
  2. 나진욱, 임성한, 오수익, 전병희, 2003 '개방형 금형을 이용한 유리 렌즈 성형 해석', 한국소성가공학회지, Vol.12, No.4, pp. 296-301
  3. G.M. Bartnev, Tempering of glass, Zh. Tekhn. Fiz., 19(12), 1949, pp.1423~1433
  4. D. R.Uhlmann, N. J. Kreidl, Glass Science and Technology, Volume 5 : Elasticity and Strength in Glasses, Academic press, 1980, pp. 146-216
  5. E. Shelby, Introduction to glass science and technology, The royal society of chemistry, 1997, pp. 107-132.
  6. Y. M. Haddad, Viscoelasticity of Engineering Materials, Chapman & Hall, pp. 33-69.
  7. A. Habeck and R. Bruckner, 1993 Direct connec-tion between anisotropic optical properties, polarizabili -ty and rheological behaviour of single-phase glass melts, J. Non-Cryst. Solids 162, pp.225-236 https://doi.org/10.1016/0022-3093(93)91241-T
  8. A.L. Nadai, Theory of flow and fracture of solids, McGraw Hill, 1963, pp.352-356
  9. R. Bruckner, Y Yue, A. Habeck, 1994 Deter-mination of the rheological properties of high-viscous glass melts by the cylinder compression method, Glastech. Ber. Glass Sci. Technol. 67 No.5, pp. 114-129
  10. J. Deubener, F. de Moraes, R. Br$\ddot u$ckner, 1997 Anomalous birefringence in necleated Li2O. 2SiO2 and NaO·2CaO·3SiO2 glass melts, J. Non-Cryst. Solids 219, pp. 57-61 https://doi.org/10.1016/S0022-3093(97)00251-2
  11. J. Shen, D. J. Green, R. E. Tressler, D. L. Shelleman, 2003 Stress relaxation of a soda lime silicate glass below the glass transition temperature, J. Non-Cryst. Solids, Article In Press
  12. Mechanical response of an oxide glass to mechanical loading - Shear and volume relaxation effects : Physical analysis, Acta mater. 48 (2000) pp. 1397-1408
  13. LS-DYNA Theoretical Manual, Livermore Soft-ware Technology corporation