Thermoforming mechanism of precision glass moulding.

Precision glass moulding (PGM) enables the production of an aspherical lens and irregular optical products in a single step, but its product quality depends highly on the control of both material properties and process parameters. This paper investigates the thermoforming mechanism of a glass lens in PGM. To precisely describe the material behavior in PGM, a modulus-based constitutive model was framed and integrated with the finite element analysis. This model can be parameterized conveniently by an impulse excitation technique. Key processing parameters that influence the final profile and residual stresses of a lens were identified with the aid of dimensional analysis. The study found that the cooling stage above the glass transition temperature can bring about large geometry deviations of a lens. The residual stresses in a lens depend mainly on the temperature history in the supercooled liquid region caused by the variability and heterogeneity of thermal expansion. However, the stresses can be reduced effectively by decreasing the cooling rate from moulding temperature to glass transition temperature.

[1]  Liangchi Zhang,et al.  Revealing Structural Relaxation of Optical Glass Through the Temperature Dependence of Young's Modulus , 2014 .

[2]  Morten Mattrup Smedskjær,et al.  Composition-Structure-Property Relations of Compressed Borosilicate Glasses , 2014 .

[3]  K. Edwards,et al.  A critical study of the emergence of glass and glassy metals as “green” materials , 2013 .

[4]  Christopher J. Nachtsheim,et al.  Experimental Design for Engineering Dimensional Analysis , 2013, Technometrics.

[5]  A. Yi,et al.  Reducing Refractive Index Variations in Compression Molded Lenses by Annealing , 2013 .

[6]  Kathleen Richardson,et al.  Final Shape of Precision Molded Optics: Part II—Validation and Sensitivity to Material Properties and Process Parameters , 2012 .

[7]  Kathleen Richardson,et al.  Final Shape of Precision Molded Optics: Part I—Computational Approach, Material Definitions and the Effect of Lens Shape , 2012 .

[8]  J. Dyre,et al.  The instantaneous shear modulus in the shoving model. , 2012, The Journal of chemical physics.

[9]  Yuanzheng Yue,et al.  Topological principles of borosilicate glass chemistry. , 2011, The journal of physical chemistry. B.

[10]  Eugen Axinte,et al.  Glasses as engineering materials: A review , 2011 .

[11]  John C. Mauro,et al.  Viscosity of glass-forming liquids , 2009, Proceedings of the National Academy of Sciences.

[12]  M. Arai,et al.  Characterization of the Thermo-Viscoelastic Property of Glass and Numerical Simulation of the Press Molding of Glass Lens , 2009 .

[13]  Fritz Klocke,et al.  Numerical Simulation and Experimental Study of Residual Stresses in Compression Molding of Precision Glass Optical Components , 2008 .

[14]  Yu-Chung Tsai,et al.  Glass material model for the forming stage of the glass molding process , 2008 .

[15]  K. Trachenko The Vogel-Fulcher-Tammann law in the elastic theory of glass transition , 2007, 0704.2975.

[16]  A. Yi,et al.  Precision laboratory apparatus for high temperature compression molding of glass lenses , 2005 .

[17]  Anurag Jain,et al.  Numerical Modeling of Viscoelastic Stress Relaxation During Glass Lens Forming Process , 2005 .

[18]  Anurag Jain,et al.  Compression Molding of Aspherical Glass Lenses–A Combined Experimental and Numerical Analysis , 2005 .

[19]  C. Angell,et al.  A thermodynamic connection to the fragility of glass-forming liquids , 2001, Nature.

[20]  Yiu-Wing Mai,et al.  Material removal in the optical polishing of hydrophilic polymer materials , 2000 .

[21]  J. Pelletier,et al.  Evidence for a residual elastic modulus in inorganic glasses by mechanical spectroscopy , 1999 .

[22]  Christensen,et al.  Local elastic expansion model for viscous-flow activation energies of glass-forming molecular liquids. , 1996, Physical review. B, Condensed matter.

[23]  Liangchi Zhang,et al.  Further remarks on the modelling of elastic modulus of grinding wheels , 1994 .

[24]  Liangchi Zhang,et al.  APPLIED MECHANICS IN GRINDING PART II: MODELLING OF ELASTIC MODULUS OF WHEELS AND INTERFACE FORCES , 1993 .

[25]  Andrey Milchev,et al.  Effect of disorder on diffusion and viscosity in condensed systems , 1988 .

[26]  C. Angell Structural instability and relaxation in liquid and glassy phases near the fragile liquid limit , 1988 .

[27]  M. A. Burke,et al.  Finite‐Element Calculation of Stresses in Glass Parts Undergoing Viscous Relaxation , 1987 .

[28]  O. S. Narayanaswamy A Model of Structural Relaxation in Glass , 1971 .

[29]  G. Adam,et al.  On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids , 1965 .

[30]  H. N. Ritland,et al.  Relation Between Refractive Index and Density of a Glass at Constant Temperature , 1955 .

[31]  Fritz Klocke,et al.  Residual stresses in glass after molding and its influence on optical properties , 2011 .

[32]  J. Yvonnet,et al.  The tempering of glass and the failure of tempered glass plates with pin-loaded joints : Modelling and simulation , 2008 .