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首页> 外文期刊>Journal of Non-Crystalline Solids: A Journal Devoted to Oxide, Halide, Chalcogenide and Metallic Glasses, Amorphous Semiconductors, Non-Crystalline Films, Glass-Ceramics and Glassy Composites >Stress development and relaxation during crystal growth in glass-forming liquids
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Stress development and relaxation during crystal growth in glass-forming liquids

机译：玻璃形成液中晶体生长过程中的应力发展和松弛

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We analyze the effect of elastic stresses on the thermodynamic driving force and the rate of crystal growth in glass-forming liquids. In line with one of the basic assumptions of the classical theory of nucleation and growth processes it is assumed that the composition of the clusters does not depend significantly on their sizes. Moreover, stresses we assume to be caused by misfit effects due to differences in the specific volume of the liquid and crystalline phases, respectively. Both stress evolution (due to crystallization) and stress relaxation (due to the viscous properties of the glass-forming liquids) are incorporated into the theoretical description. The developed method is generally applicable independently of the particular expressions employed to describe the crystal growth rate and the rate of stress relaxation. We show that for temperatures lower than a certain decoupling temperature, T-d, elastic stresses may considerably diminish the thermodynamic driving force and the rate of crystal growth. The decoupling temperature, T-d, corresponds to the lower limit of temperatures above which diffusion and relaxation are governed by the same mechanisms and the Stokes-Einstein (or Eyring) equation is fulfilled. Below T-d, the magnitude of the effect of elastic stresses on crystal growth increases with decreasing temperature and reaches values that are typical for Hookean elastic bodies (determined by the elastic constants and the density differences of both states of the system) at temperatures near or below the glass-transition temperature, T-g. By these reasons, the effect of elastic stress must be properly accounted for in a correct theoretical description of crystal nucleation (as some of us have shown in previous papers) and subsequent crystal growth in undercooled liquids. The respective general method is developed in the present paper and applied, as a first example, to crystal growth in lithium disilicate glass-forming melt. (c) 2006 Elsevier B.V. All rights reserved.
机译：我们分析了弹性应力对玻璃成形液中热力学驱动力和晶体生长速率的影响。与经典的成核和生长过程理论的基本假设之一相一致，我们假设这些簇的组成并不明显取决于它们的大小。此外，我们假定应力分别是由于液相和结晶相的比容不同而引起的失配效应所引起的。应力发展（由于结晶）和应力松弛（由于玻璃形成液体的粘性）都被纳入了理论描述。所开发的方法通常独立于用来描述晶体生长速率和应力松弛速率的特定表达式而适用。我们表明，对于低于特定解耦温度T-d的温度，弹性应力可能会大大降低热力学驱动力和晶体生长速率。解耦温度T-d对应于温度的下限，在该温度下，扩散和弛豫由相同的机制控制，并且满足斯托克斯-爱因斯坦方程式。低于Td时，弹性应力对晶体生长的影响的大小随温度降低而增加，并达到接近或低于温度的Hookean弹性体的典型值（由系统的两种状态的弹性常数和密度差确定）。玻璃化转变温度Tg。由于这些原因，必须在正确的理论上描述晶体成核作用（如我们中的某些人在先前的论文中所述）以及随后在过冷液体中生长晶体时适当考虑弹性应力的影响。在本文中开发了相应的一般方法，并作为第一个实例，将其应用于形成二硅酸锂玻璃的熔体中的晶体生长。 （c）2006 Elsevier B.V.保留所有权利。

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