Abstract
The stress-optical coefficient functions of two optical-grade polycarbonates (PCs) have been obtained by simultaneous measurements of the relaxation modulus and strain-optical coefficient functions. Nonlinear behavior of the relaxation modulus and strain-optical coefficient was observed at small strains at room temperature. Comparison of these functions in the linear region with those of a commercial grade PC was made. These functions have been incorporated to linear viscoelastic and photoviscoelastic constitutive equations to calculate residual thermal birefringence in freely quenched PC plates. The numerical results have been compared with the measurements indicating a fair agreement between them.
Similar content being viewed by others
References
Bradshaw RD, Brinson LC (1997) A sign control method for fitting and interconverting material functions for linearly viscoelastic solids. Mech Time-Depend Mater 1:85
Colucci DM, O’Connell PA, McKenna GB (1997) Stress relaxation experiments in polycarbonate: a comparison of volume changes for two commercial grades. Polym Eng Sci 37(9):1467
Dill EH (1964) On phenomenological rheo-optic constitutive relations. J Polym Sci C Polym Symp 5:67
Doolittle AK (1953) Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free-space. J Appl Phys 22:12
Hopkins IL, Hamming RW (1957) On creep and relaxation. J Appl Phys 28:906
Hopkins IL, Hamming RW (1958) Note on paper “on creep and relaxation”. J Appl Phys 29:742
Huang M (2003) Stress effects on the performance of optical waveguides. Int J Solids Struct 40:1615
Hwang EJ, Inoue T, Osaki K (1993) Viscoelasitcity and birefringence of bisphenol-A polycarbonate. Polymer 34:1661
Isayev AI (1983) Orientation development in the injection molding of amorphous polymers. Polym Eng Sci 23:271
Kroschwitz JI (ed) (2003) Encyclopedia of polymer science and technology. Wiley, Hoboken, NJ
Moldflow (2006) MOLDFLOW data base, version 6. Moldflow, Framingham, MA
Osaki K, Inoue T (1991) Some phenomenological relations for strein-induced birefringence of amorphous polymers. Nihon Reoroji Gakkaishi 19:130
Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in fortran, 2nd edn. Cambridge University Press, Cambridge
Rusch KC (1968) Time–temperature superposition and relaxation behavior in polymeric glasses. J Macromol Sci Phys B2:179
Shirouzu S, Shigematsu K, Sakamoto S, Nakagawa T, Tagami S (1989) Refractive index anisotropies of constructive units in polycarbonate. Jpn J Appl Phys 28:801
Shirouzu S, Shikuma H, Senda N, Yoshida M, Sakamoto S, Shigematsu K, Nakagawa T, Tagami S (1990) Stress-optical coefficients in polycarbonates. Jpn J Appl Phys 29:898
Shyu GD, Isayev AI, Li CT (2001) Photoviscoelastic behavior of amorphous polymers during transition from the glassy to rubbery state. J Polym Sci B Polym Phys 39:2252
Shyu GD, Isayev AI, Li CT (2003) Residual thermal birefringence in freely quenched plates of amorphous polymers: simulation and experiment. J Polym Sci B Polym Phys 41:1850
Stein RS, Onogi S, Sasaguri K, Keedy DA (1963) Dynamic birefringence of high polymer II. J Appl Phys 34:80
Takeshima M, Funakoshi N (1986) Molecular orientation distribution in injection molded polycarbonate discs. J Appl Polym Sci 32:3457
Tschoegl NW (1989) The phenomenological theory of linear viscoelastic behavior, Chapter 8. Springer, Berlin
Van Krevelen DW (1976) Properties of polymers. Elsevier, Amsterdam, p 271
Wang KK, Cohen C, Koch DL, Hieber CA, Yoon K, Gupta M, Harlen OG (1991) Cornell injection molding program. Progress report no. 16. Cornell University, Ithaca, NY
Acknowledgements
The authors greatly appreciate the financial support of the NSF Division of Engineering (DMI-0322920) and the General Electric Company (GE) for providing optical-grade PCs.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, TH., Isayev, A.I. Photoviscoelastic behavior and residual thermal birefringence in optical-grade polycarbonates. Rheol Acta 47, 977–988 (2008). https://doi.org/10.1007/s00397-008-0290-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00397-008-0290-3