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首页> 外文期刊>International journal of nanomechanics science and technology >MULTISTAGE KINETICS OF THE SYNTHESIS OF Ti-T_xC_y COMPOSITE
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MULTISTAGE KINETICS OF THE SYNTHESIS OF Ti-T_xC_y COMPOSITE

机译：Ti-T_xC_y复合材料合成的多级动力学

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摘要

This work is devoted to the development of a numerical algorithm for the system of kinetic equations corresponding to the formation of the Ti-T_(x)C_(y) composite with the prospect of subsequent using of this algorithm in the model of the technology of the synthesis of composites. In this Ti-C system, irreversible phases can appear under certain conditions typical of composite synthesis. No theoretical works are available however, that would model the synthesis of composites and consider chemical stages eventuating in nonequilibrium phase composition. The present work uses a multistage kinetic model of the formation of nonstoichiometric titanium carbide at a preset temperature. Reaction rates are assumed to be dependent on concentration by the mass action law. Additionally, the reaction rate retardation typical of solid-state reactions is presented with the aid of a special function. This results in nonlinear kinetic equations. The paper suggests an iteration algorithm for numerical embodiment of the kinetic model, as well as its special variants corresponding to different initiation conditions and initial data. Depending on the temperature and time of the synthesis, the final product contains the carbides TiC, Ti_(2)C, Ti_(3)C_(2), and TiC_(2) in various proportions. Among the irreversible carbides, the most stable one is TiC_(2). Taking into account the retardation of the reactions by the layer of products in the kinetic functions only extends the time necessary for conversions.
机译：这项工作致力于开发与Ti-T_（x）C_（y）复合材料的形成相对应的动力学方程组的数值算法，并有望在该技术的模型中随后使用该算法。复合材料的合成。在此Ti-C系统中，不可逆相会在复合合成的某些典型条件下出现。然而，尚无理论工作可用来模拟复合材料的合成并考虑化学阶段最终以非平衡相组成。本工作使用在预设温度下形成非化学计量碳化钛的多阶段动力学模型。根据质量作用定律，假定反应速率取决于浓度。另外，借助于特殊功能，呈现了固态反应典型的反应速率延迟。这导致非线性动力学方程。本文提出了一种用于动力学模型数值实施例的迭代算法，以及对应于不同初始条件和初始数据的特殊变体。根据合成的温度和时间，最终产品包含各种比例的碳化物TiC，Ti_（2）C，Ti_（3）C_（2）和TiC_（2）。在不可逆碳化物中，最稳定的碳化物是TiC_（2）。考虑到产物层在动力学功能上的反应延迟仅延长了转化所需的时间。

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