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- ItemOn the different descriptions of the non-Newtonian viscosity (shear-thinning effect) of glass melts with respect to heat dissipation(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1996) Yue, Yuanzheng; Brückner, RolfThe range of non-Newtonian viscosity is usually connected with high strain rates or/and stresses. Therefore, the effect of heat dissipation (or viscous heating) cannot be neglected. In order to regard this effect various correlations were given in former papers, which will be analyzed and discussed in the present paper. It turns out that through the exact thermal elimination of viscous headng one can easily obtain the quantity of the pure, realistic and exclusively structurally determined non-Newtonian viscosity, ηnN, which may be normalized by the Newtonian viscosity, η0, to yield the form, ηnΝ/η0- At small amounts of strain and stress other expressions, such as η/η0,Tmax and η/η0,Tnet, may describe the non-Newtonian flow behaviour approximately where the thermal elimination is not made for the as-measured non-Newtonian viscosity, η, but for the Newtonian values, ηο. (η0,Tmax Stands for the adiabatically corrected Newtonian viscosity, due to the maximum temperature of viscous heating by the total deformation work; η0,Tnet Stands for t h e nonadiabadcally corrected Newtonian viscosity due to the gross temperature of viscous heating, regarding also the heat flow out of t he glass sample.) In contrast to these more or less pure non-Newtonian normalized viscosities the so-called normalized non-Newtonian gross viscisity, η/η0, is that viscosity which involves the viscosity decrease due to the pure non-Newtonian flow, determined by structural orientation, as well as the viscosity decrease due to the viscous heating. The various relationschips are analyzed and discussed with the help of recently developed rheological equations.
- ItemUltrasonic measurements and complex elastic moduli of silicate glass melts in the viscoelastic and viscous range(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1994) Bornöft, Hansjörg; Brückner, RolfThe temperature- and frequency-dependence of the ultrasonic velocity and attenuation in glass melts is investigated up to a temperature of 1400 C by means of an equipment for measuring the longitudinal and transversal ultrasonic waves. The range of dispersion and the attenuation maxima are determined at frequencies 0.5 to 4 MHz completely for the DGG standard glass I and for the glass melts (composidons in mol%): 7 4 Si0₂ , 16Na₂O, 10CaO and 7 4 Si0₂ , 16 K₂O, 10CaO and partly for the glass melt 7 4 Si0₂ , 16CS₂O, 10CaO and for the B₂O₃ melt. The whole number of elastic constants follows from the ultrasonic velocities and from the density in the usual way The properties of these glass melts are compared along the temperature and viscosity. The transition from the elastic solid to the viscous fluid can be characterized by the elastic modul and interpreted as a viscoelasdc response of an unrelaxed to a relaxed dynamic network which depolymerizes reversibly with increasing and polymerizes with decreasing temperature. The internal frieden, Q⁻¹ characterizes the inelastic pordon during the periodical stress of the ultrasonic waves. The activation energy of Q⁻¹ obtained via frequencies and temperature of the maxima of is nearly twice the amount of the viscosity activation energy in the same temperature region.
- ItemRheological investigations in the decomposition ränge of the system Na₂O-B₂O₃-SiO₂(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1997) Eberstein, Markus; Habeck, Andreas; Brückner, RolfThree glass melts from the Vycor-type widely distributed along the mixing gap of the pseudobinary line SiO₂-(B₂O₃:Na₂O = 84:16) were invesdgated each one with three different thermal histories. The following rheological properties were determined by the cylinder compression method: the Newtonian and non-Newtonian flow behaviour, the stress generadon modulus as a measure of the stiffness, the high-temperature tensile strength and the critical deformation rate at which the first crack appears. The influences of the fundamental glass compositions (SiO₂ content) as well as the thermal pretreatments on these properties are demonstrated and discussed on the basis of isochomal conditions (equal Newtonian viscosities). The results can be interpreted by means of the knowledge about the demixing rules and processes which lead to various rheological two-phase Systems. Most drastical changes of the rheological properties are observed in the middle of the mixing gap where spinodal decomposidon has its optimum and where he differentation between the matrix phase and decomposed phase is lost.
- ItemRheological properties and isochomal workability of lead Silicate glass melts(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1996) Yue, Yuanzheng; Brückner, RolfFour different industrial lead Silicate glass melts were investigated by means of the cylinder compression method with respect to the flow and stress generation behaviour, the critical deformation rate hc, and the high-temperature tensile strength, σ_ts. Increasing PbO concentration has usually a large influence on t he Newtonian viscosity, it makes the melt "shorter" (more modernly speaking: more "fragile"). On the other hand, the influence on the non-Newtonian flow and stress generation behaviour and therefore, on the brittleness is very small, however, the high-temperature tensile strength is markedly negatively influenced. At low viscosities the melts with large P bO content show larger critical deformation rates and therefore, a better isochomal workability than those with smaller P bO contents. As compared with soda lime Silicate glass melts the lead Silicate melts reach clearly smaller hc and σ_ts values at comparable degrees of deformation and therefore, they have a worse isochomal workability This unexpected behaviour is discussed under structural aspects.
- ItemDetermination of the rheological properties of high-viscous glass melts by the cylinder compression method(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1994) Brückner, Rolf; Yue, Yuanzheng; Habeck, AndreasA detailed description of the cylinder compression method and its application on the viscoelastic behaviour of glass melts is given with the help of closed solutions and equations in contrast to algorithmic methods, like e.g. the finite element method. Special attention is paid to the system deformation and system deformation rate of the testing equipment and to the dissipation of mechanical energy within the specimen and the heat flow from the specimen. The limits of this treatment are discussed with respect to the applicability of the theoretical basis (Gent and Nadai equation) and with respect to the experimental determination of the rheological properties of glass melts. On this basis the pure non-Newtonian viscosity, ηnN, can be determined. If very small differences have to be ascertained in the rheological behaviour of glass melts due to small differences in composition or in melting history (e.g. redox condition or bad/good workability), the same conditions concerning the mechanical and thermal equipment and even the same geometry of the glass specimens have to be strictly maintained. Comparison between different glass melts should be made rather on the basis of equal (Newtonian) equilibrium viscosity, η₀, (isochomal conditions) and not on equal temperature. Owing to large thermal effects, the slope of the viscosity-temperature curve at η₀ plays a certain role, particularly for the forming process.
- ItemInfluence of homologous substitutions of chemical components on the rheological properties and on isochomal workability of Silicate glass melts(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1996) Yue, Yuanzheng; Brückner, RolfGlass melts of various homologous Silicate glass series were investigated by means of the cylinder compression method with respect to their flow behaviour (Newtonian and non-Newtonian), stress generadon modulus (stiffness, brittleness) and critical deformadon rate (high-temperature tensile strength, isochomal workability). The experimental results show that decreasing CaO content and increasing basicity lead to the decrease of the brittleness of Silicate glass melts and to the increase of the critical deformadon rate, i.e. to the improvement of the isochomal workability of these melts. The mixed alkali effect of sodium potassium calcium Silicate glass melts at molar fracdon [K₂O]/[Na₂O+K₂O] = 0.5 has a favourable influence on the isochomal workability The correladon between flow behaviour and workability of glass melts is also discussed in the present paper. It could be shown that the ratio β = E2.8/E3.6 (E is the extinction of the hydroxyl band at 2.8 and 3.6 ηm, respectively) indicates the structural origin of the dependence of the mentioned rheological properties on the chemical compositions, at least within the homologous series.
- ItemWhich rheological parameters control the isochomal workability of glass melts from the Container glass industry?(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1996) Yue, Yuanzheng; Brückner, RolfTwo species of brown glass which were characterized by industrial workability and quality criteria as "good" and " bad ", respectively, were investigated by the cylinder compression method and by the Christiansen method. Significant differences between the two species were found by means of the two methods in such a manner that the "good" brown glass samples indicate a better homogeneity and the corresponding melts a larger critical deformation rate, hc and therefore, a better isochomal workability than the " bad " brown glasses and melts. Additionally, the former ones show a larger ratio Fe²⁺/F_total with the consequence that they have a lower Newtonian viscosity at the same temperature. In contrast to the brown glass melts no clear differences in the rheological properties and isochomal workability could be detected between white Container glass melts which have also been characterized as "good" or as "bad". The white Container glass melts are classified to be less workable at equal viscosities than the brown glass melts. The stress generation modulus, E_max, and the normalized non-Newtonian viscosity, η/η0T, are less sensitive properties with respect to the redox State of the melts and to the homogeneity than the hc values. With the results of this study the limits of the sensitivity of the various properties resulting from the cylinder compression method were reached.
- ItemThermal expansion behaviour of unidirectionally SiC fibre-reinforced MAS and BMAS glass-ceramics(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1995) Reich, Christian; Brückner, RolfThe thermal expansion behaviour of SiC fibre-reinforced Magnesium-Aluminium-Silicate (MAS) and Barium-Magnesium- Aluminium-Silicate (BMAS) glass-ceramics was studied in air as well as in argon furnace atmosphere. The results show that the coefficients of thermal expansion up to a temperature of 800 C are influenced to a minor degree by the furnace atmosphere and to a major degree by the phase composition of the matrices and the fibre concentration. The largest values in air and argon atmosphere are obtained from BMAS(14)/SiC fibre composites with α₁₅₀/₈₀₀ = 3.92 * 10⁻⁶ K⁻¹ and 3.87 * 10⁻⁶ K⁻¹ respectively, at a fibre content of 52 vol.%, while the lowest values are found for BMAS(9)/SiC fibre composites in air with α₁₅₀/₈₀₀ = 3.24 * 10⁻⁶ K⁻¹ and in argon with α₁₅₀/₈₀₀ = 3.11 * 10⁻⁶ K⁻¹ at a fibre content of about 25 vol.%. Increasing fibre concentration leads to increasing thermal expansion. The experimentally determined values were compared with calculated ones by the mixing rule and a good agreement was found, particularly for the BMAS(14) composites.
- ItemIsothermal and isochomal workability of glass melts - Influence of melting history: Minor composition changes of redox State and hydroxyl content - Αstudy of the sensitivity of the cylinder compression method(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1996) Brückner, Rolf; Yue, YuanzhengThe influence of redox State and hydroxyl concentration on the pure non-Newtonian flow behaviour, on the gross non-Newtonian viscosity, on the stress generation modulus, brittleness, high-temperature tensile strength and on the critical deformation rate of an iron oxide-containing laboratory glass melt with two different melting histories, but with the same main chemical composition, is investigated by means of the cylinder compression method. The comparison of these properties between the oxidized and the reduced glass melt is made not only at equal temperatures but also at equal viscosities in order to distinguish between isothermal and isochomal workability and to examine how sensitive the applied method is. The result is that the reduced melt with a somewhat larger Fe²⁺/F_total ratio and with a larger hydroxyl content has a smaller stiffness and brittleness and therefore, a somewhat better isothermal workability than the oxidized melt. This is valid only for the comparison at equal temperatures. When the comparison is made at equal viscosities, however, the workability - or better the isochomal workability - of the two melts is the same. The reason is that a shift of the Newtonian viscosity is produced by the redox shift and hydroxyl content of the reduced melt to lower values which diminishes with increasing temperature. It is possible to construct master curves with respect to the measured properdes at four temperatures, by which a transfer to the low viscosity range is possible, i.e., one can get the isothermal workability of the glass melts over the whole working range. The measured values of the above-mentioned properties are represented by fitting with recently developed relations which give rise to interesting practical and theoretical conclusions about industrial production optimization and about some structural aspects of stressed melts.
- ItemProgress in the rheology of glass melts - Α survey(Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1997) Brückner, Rolf; Yuanzheng, Yue; Deubener, JoachimThe rheology of glass melts is not restricted to Newtonian viscous flow, but it involves also non-Newtonian flow and viscoelasticity The former one predominates in the steady-state flow at low deformation rates, the latter ones prevail during the initial State of stress generation and during the final State of flow and fracture under extreme deformation conditions. The whole ränge of rheological phenomena is demonstrated in this review article. Typical available experimental results and mathematical formulations are briefly given for single-phase glass melts. In this context the development of new equations gives rise to the introduction of a series of new definitions and conceptions which physically and mathematically characterize the different rheological behaviour of glass melts under various stress-strain conditions. The connection between flow behaviour and structural aspects is pointed out with a short reference to flow birefringence. Finally, an extension from the behaviour of a single-phase to a double-phase system is developed for the case of suspended crystals with defined sizes, concentrations and shapes within an inert glass melt (model for glassceramic melts).