A new upper bound solution for axisymmetric direct extrusion considering Coulomb friction and generalized work functions

IF 2.6 3区材料科学 Q2 ENGINEERING, MANUFACTURING

International Journal of Material Forming Pub Date : 2026-03-31 DOI:10.1007/s12289-026-02003-z

Sergei Alexandrov, Stanislav Strashnov, Yeau-Ren Jeng

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Abstract

This paper provides a new upper bound solution for axisymmetric extrusion through a conical die. The most important distinguishing features of this solution, compared to available solutions, are the use of Coulomb friction and generalized work functions. In particular, a unified procedure is developed for evaluating the extrusion force for the work functions that yield the von Mises yield criterion, yield criteria closely approximating the Hershey-Hosford yield criteria, and a yield criterion that accounts for the strength-differential effect. The trial velocity field is intentionally chosen to be simple enough to emphasize the technique for constructing trial velocity fields that allow the extrusion force to be evaluated in the case of Coulomb friction. The possibility of a rigid region appearing in the die is taken into account. The numerical part of the solution reduces to evaluating an ordinary integral. The effect of various geometric and other process parameters on the extrusion force is revealed. Possible extensions of the solution are discussed.

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考虑库仑摩擦和广义功函数的轴对称直接挤压问题上界解

本文给出了圆锥模轴对称挤压的一种新的上界解。与现有的解相比，这个解最重要的特点是使用了库仑摩擦和广义功函数。特别是，开发了一个统一的程序，用于评估产生von Mises屈服标准的功函数的挤压力，接近Hershey-Hosford屈服标准的屈服标准，以及考虑强度差异效应的屈服标准。试验速度场被有意地选择得足够简单，以强调构造试验速度场的技术，该技术允许在库仑摩擦的情况下评估挤压力。考虑了模具中出现刚性区域的可能性。解的数值部分简化为计算一个普通积分。揭示了各种几何参数和其他工艺参数对挤压力的影响。讨论了该解决方案的可能扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Material Forming ENGINEERING, MANUFACTURING-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

5.10

自引率

4.20%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal publishes and disseminates original research in the field of material forming. The research should constitute major achievements in the understanding, modeling or simulation of material forming processes. In this respect ‘forming’ implies a deliberate deformation of material. The journal establishes a platform of communication between engineers and scientists, covering all forming processes, including sheet forming, bulk forming, powder forming, forming in near-melt conditions (injection moulding, thixoforming, film blowing etc.), micro-forming, hydro-forming, thermo-forming, incremental forming etc. Other manufacturing technologies like machining and cutting can be included if the focus of the work is on plastic deformations. All materials (metals, ceramics, polymers, composites, glass, wood, fibre reinforced materials, materials in food processing, biomaterials, nano-materials, shape memory alloys etc.) and approaches (micro-macro modelling, thermo-mechanical modelling, numerical simulation including new and advanced numerical strategies, experimental analysis, inverse analysis, model identification, optimization, design and control of forming tools and machines, wear and friction, mechanical behavior and formability of materials etc.) are concerned.