Applied Mathematical Modelling of Industrial Metal Forming
工业金属成型的应用数学建模
基本信息
- 批准号:MR/V02261X/1
- 负责人:
- 金额:$ 101.85万
- 依托单位:
- 依托单位国家:英国
- 项目类别:Fellowship
- 财政年份:2022
- 资助国家:英国
- 起止时间:2022 至 无数据
- 项目状态:未结题
- 来源:
- 关键词:
项目摘要
Metal forming is the shaping of metal; examples from manufacturing include rolling metal to create thin sheets and stamping flat sheets of metal to form car body panels. There is currently an industrial need for smarter metal forming in order to create new products, to reduce scrap, to compensate for more variable materials (e.g. recycled metals), to reduce costs, and to reduce energy usage. In the 21st century, one might expect real-time computer control of metal forming processes, which would monitor the metal workpiece during the forming process and adapt the process to correct any problems and consistently obtain the desired end result. However, the computer controller needs a theoretical model to predict what would happen if it were to make a change, in order to find the right changes to make, and such theoretical models are currently unavailable; computer simulations (using finite elements for example) are too slow for use in real-time. The current state of the art is to use computer finite element simulations during process development or to diagnose problems, and then to use simple controllers (such as PID controllers) to blindly follow the pre-prescribed forming procedure. Clearly new modelling techniques could be expected to give a substantial improvement.The ambitious aim of this project is to investigate techniques for mathematical modelling in continuum solid mechanics and plasticity, the outcome of which could be used to provide predictive theoretical models for industrial metal forming. Unlike existing computer simulations (such as finite elements) which work in all situations but which are slow, the aim here is to take advantage of properties of particular metal forming processes (such as symmetry, or small parameters such as thin sheets, small deformations, etc), and create bespoke simplified models specific to each of these processes. By accounting for these properties in a rigorous way, and using best practice mathematical techniques (such as asymptotics and stability theory), quick-to-compute models with a guaranteeable accuracy could be produced. Such models would be eminently suitable for use in online control of the metal forming process. The aim of this project is to work out how to do this in specific detail, and to produce a number of industrially relevant examples.There are a number of related areas of research which, while they will certainly inform this work, they will not be directly worked on in this project. These include research into atomic scale modelling of metals and alloys, and research into the correctness of the governing equations of plastic continuum mechanics (a branch of pure mathematical analysis). In this project, we will take the governing equations that are accepted and used in finite element computations of metal forming used in industry, and instead of solving them on a computer, we will investigate the theoretical development of modelling techniques and simplified models based on these equations.It is hoped the results of this project will be a number of techniques for creating bespoke mathematical models of particular metal forming processes, together with a few such models specific to particular metal forming processes of industrial relevance. The specific models have been chosen to be relevant to UK industry, in particular to Tata Steel and Primetals Technologies. These few models will be validated against either numerical results or practical experiments. The project would also result in a skilled team of researchers and a validated body of new applied mathematical knowledge, which would give industry the confidence to partner with the PI and invest in subsequent projects applying this knowledge in industrial practice.
金属成形是对金属的成形;制造过程中的例子包括轧制金属以制造薄板,以及冲压金属平板以形成汽车车身覆盖件。目前,工业上需要更智能的金属成形,以便创造新产品、减少废钢、补偿更多可变材料(如回收金属)、降低成本和减少能源消耗。在21世纪,人们可能会期望对金属成形过程进行实时的计算机控制,它将监控成形过程中的金属零件,并调整工艺以纠正任何问题,并一致地获得期望的最终结果。然而,计算机控制器需要一个理论模型来预测如果它做出改变会发生什么,以便找到要进行的正确改变,而这样的理论模型目前还不可用;计算机模拟(例如使用有限元)太慢,不能实时使用。目前的技术状态是在工艺开发过程中使用计算机有限元模拟或诊断问题,然后使用简单的控制器(如PID控制器)盲目遵循预先规定的成形程序。显然,新的建模技术有望带来实质性的改进。这个项目雄心勃勃的目标是研究连续介质固体力学和塑性的数学建模技术,其结果可以用于为工业金属成形提供预测的理论模型。与现有的计算机模拟(如有限元)不同,现有的计算机模拟在所有情况下都有效,但速度很慢,这里的目标是利用特定金属成形过程的属性(如对称性,或小参数,如薄板、小变形等),并创建特定于这些过程的定制简化模型。通过以严格的方式考虑这些性质,并使用最佳实践数学技术(如渐近性和稳定性理论),可以产生具有保证精度的快速计算模型。这种模型非常适合用于金属成形过程的在线控制。这个项目的目的是找出如何做到这一点的具体细节,并产生一些与工业相关的例子。有一些相关的研究领域,虽然他们肯定会为这项工作提供信息,但他们不会直接在这个项目中工作。其中包括研究金属和合金的原子尺度模型,以及研究塑性连续介质力学(纯数学分析的一个分支)控制方程的正确性。在这个项目中,我们将采用工业中使用的金属成形有限元计算中接受和使用的控制方程,而不是在计算机上求解它们,我们将研究建模技术的理论发展和基于这些方程的简化模型。希望这个项目的结果将是建立特定金属成形过程的定制数学模型的一些技术,以及一些特定于工业相关的特定金属成形过程的模型。这些特定的车型被选为与英国行业相关,特别是与塔塔钢铁和普里金属技术公司相关。这几个模型将根据数值结果或实际实验进行验证。该项目还将产生一支熟练的研究人员团队和一批经过验证的新的应用数学知识,这将使业界有信心与PI合作,并投资于随后的项目,将这些知识应用于工业实践。
项目成果
期刊论文数量(2)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Proceedings of the 14th International Conference on the Technology of Plasticity - Current Trends in the Technology of Plasticity - ICTP 2023 - Volume 1
第 14 届国际可塑性技术会议论文集 - 可塑性技术的当前趋势 - ICTP 2023 - 第 1 卷
- DOI:10.1007/978-3-031-41023-9_22
- 发表时间:2024
- 期刊:
- 影响因子:0
- 作者:Flanagan F
- 通讯作者:Flanagan F
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Edward Brambley其他文献
Edward Brambley的其他文献
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{{ truncateString('Edward Brambley', 18)}}的其他基金
Functional Underpinnings of Summation-By-Parts Finite Differences
有限差分部分求和的函数基础
- 批准号:
EP/V002929/1 - 财政年份:2021
- 资助金额:
$ 101.85万 - 项目类别:
Research Grant
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