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Abstract <p>We consider the regularities in critical phenomena including fracture of materials, crystallization, combustion, and explosion, as well as sintering of materials as a thermal process. Sintering is widely used for consolidation of particles in machine building articles in such as ceramics, metals, polymers, and cemented carbides. We outline the complex of problems that must be solved for fundamental and applied investigations of processes in the theory of classical phenomena and propose their physical analogs. We propose a model of the process as an important supplement to experiments, which is required for understanding sintering mechanisms as well as for optimization and designing of the process. Basic hypotheses and boundary conditions for the application of models are formulated. We consider the problems of the theory of the laminar–turbulent transition, which require detailed understanding of processes and quantitative models on different scales.</p>

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Mathematical Modeling of the Thermal Sintering Process (Local Equilibrium Approximation)

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • E. V. Radkevich,
  • A. V. Ragutkin,
  • O. A. Vasil’eva,
  • M. E. Stavrovskii,
  • M. I. Sidorov

摘要

Abstract

We consider the regularities in critical phenomena including fracture of materials, crystallization, combustion, and explosion, as well as sintering of materials as a thermal process. Sintering is widely used for consolidation of particles in machine building articles in such as ceramics, metals, polymers, and cemented carbides. We outline the complex of problems that must be solved for fundamental and applied investigations of processes in the theory of classical phenomena and propose their physical analogs. We propose a model of the process as an important supplement to experiments, which is required for understanding sintering mechanisms as well as for optimization and designing of the process. Basic hypotheses and boundary conditions for the application of models are formulated. We consider the problems of the theory of the laminar–turbulent transition, which require detailed understanding of processes and quantitative models on different scales.