Abstract Severe plastic deformation (SPD) has established itself as a potent means of producing bulk ultrafine grained and nanostructured materials. It has given rise to burgeoning research that has become an integral part of the present day materials science. This research has received a broad coverage in literature, and several recent publications (including reviews in Progress in Materials Science ) provide a very good introduction to the history, the current status, and the potential applications of SPD technologies. There is one aspect of SPD-related research, though, which despite its great importance has not been covered by any substantive review, viz. the modelling and simulation work. Due to the complexity of SPD processing and the specificity of material behaviour at the extremely large strains involved, analytical and computational studies have been indispensable for process design, parameter optimisation, and the prediction of the microstructures and properties of the ultrafine grained materials produced. They have also provided a better understanding of the physical mechanisms underlying SPD and the mechanical response of the materials that underwent this kind of processing. The pertinent literature is vast and often difficult to navigate. The present article addresses this aspect of SPD and provides a commented expose of a modelling and numerical simulation toolkit that has been, or can potentially be, applied in the context of severe plastic deformation.

中文翻译：

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严重塑性变形建模的分析和数值方法

摘要 严重塑性变形 (SPD) 已成为生产大块超细晶粒和纳米结构材料的有效手段。它催生了蓬勃发展的研究，并已成为当今材料科学不可或缺的一部分。这项研究在文献中得到了广泛的报道，最近的一些出版物（包括材料科学进展中的评论）很好地介绍了 SPD 技术的历史、现状和潜在应用。然而，SPD 相关研究有一个方面，尽管它非常重要，但尚未被任何实质性审查所涵盖，即。建模和仿真工作。由于 SPD 处理的复杂性和所涉及的极大应变下材料行为的特殊性，分析和计算研究对于工艺设计、参数优化以及生产的超细晶粒材料的微观结构和性能的预测是必不可少的。他们还更好地了解了 SPD 背后的物理机制以及经过这种处理的材料的机械响应。相关文献浩如烟海，通常难以浏览。本文解决了 SPD 的这一方面，并​​提供了一个建模和数值模拟工具包的评论公开，该工具包已经或可能应用于严重塑性变形的背景下。他们还更好地了解了 SPD 背后的物理机制以及经过这种处理的材料的机械响应。相关文献浩如烟海，通常难以浏览。本文解决了 SPD 的这一方面，并​​提供了一个建模和数值模拟工具包的评论公开，该工具包已经或可能应用于严重塑性变形的背景下。他们还更好地了解了 SPD 背后的物理机制以及经过这种处理的材料的机械响应。相关文献浩如烟海，通常难以浏览。本文解决了 SPD 的这一方面，并​​提供了一个建模和数值模拟工具包的评论公开，该工具包已经或可能应用于严重塑性变形的背景下。