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浮法玻璃退火过程中应力变化的数值模拟
Numerical Simulation for Variation of Residual Stress in Annealing Process of Float Glass
【摘要】 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。
【Abstract】 The internal stress generated in glass ribbon is the result of combined actions of stress relaxation and structural relaxation in annealing process.The stress constitutive equations is a set of complicated integral equation that is base on the viscous elasticity theory and Boltzmann’s superposition principle,simultaneously consider the effects of stress relaxation and structure relaxation two factors.Using the trapezoidal rule,Lagrangian interpolation function and in the form of discretization method to solve the equation set.The calculation results with the experiment data of alignment is better that offer to a solution of calculating internal stress for off-line laboratory numerical simulation or on-line control.
【Key words】 lehr; stress relaxation; structural relaxation; stress; numerical simulation;
- 【文献出处】 硅酸盐通报 ,Bulletin of the Chinese Ceramic Society , 编辑部邮箱 ,2012年05期
- 【分类号】TQ171.6
- 【被引频次】5
- 【下载频次】209