浮法玻璃内部在退火过程中产生的应力是应力松弛和结构弛豫共同作用的结果.基于粘弹性理论,采用波尔兹曼叠加原理,并考虑应力松弛和结构弛豫两种因素影响的应力本构方程是一组复杂的积分方程.利用梯形积分法、拉格朗日差值函数并采用离散化的方法可以对其进行数值模拟求解.计算结果同实验数据的吻合度较好,为浮法玻璃退火过程中应力离线实验仿真计算或在线控制运用提供了一种解决方案.
参考文献
| [1] | Adams L H;Williamson E D.Annealing of glass[J].Journal of the Franklin Institute,1920(190):597-631. |
| [2] | Gardon R;Narayanaswamy O S .Stress and volume relaxation in annealing flat glass[J].Journal of the American Ceramic Society,1970,53(07):380-385. |
| [3] | Lee E H;Rogers T G;Woo T C .Residual stresses in a glass plate cooled symmetrically from both serfaces[J].World Journal of Nano Science and Engineering,1965,48(09):480-487. |
| [4] | Muki R;Sternberg E.On transient thermal stresses in viscoelastic materials with temperature-dependent properties[J].Journal of Applications of Mechanism,1961:193-207. |
| [5] | Van Zee A F;Noritake H M .Measurement of stress-optical coefficient and rate of stress release in commercial Soda-Lime glasses[J].Journal of the American Ceramic Society,1958,41(05):164-175. |
| [6] | Narayanaswamy OS .Stress and structurl relaxation in tempering glass[J].Journal of the American Ceramic Society,1978,61(04):146-152. |
| [7] | Narayanaswamy O S.Annealing of glass[A].Academic Press,Inc,1986:240-253. |
| [8] | Tool AQ .Relations between inelastic deformability and thermal expansion of glass in its annealing range[J].Journal of the American Ceramic Society,1946,29(09):240-253. |
| [9] | Just D .Mathematical model of the origin and relaxation of the stress in glass(In Czech)[D].Mff UK PraHa,2000. |
| [10] | Janovsky V.On A 1-D model of stress relaxation in an annealed glass[J].Applied Mathematics,2002(47):115-125. |
| [11] | Markovsky A;Soules T F.An efficient and stable algorithm for calculating fictive temperatures[J].Journal of the American Ceramic Society,1984(04):56-57. |
| [12] | Robert L T.Thermomechanical analysis of viscoelastic solids[J].International Journal for Numerical Methods in Engineering,1970(02):45-59. |
| [13] | 张范斌,温治,豆瑞锋,刘训良,苏福永,楼国锋.用MonteCarlo法对浮法玻璃退火窑间接冷却区内热过程进行数值模拟[J].硅酸盐学报,2012(02):317-323. |
| [14] | Narayanaswamy O S .A model of structural relaxation in glass[J].Journal of the American Ceramic Society,1981,54:491-498. |
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