This paper describes a numerical scheme that implements reduced order modeling of transient heat transfer problems by enhancing a standard finite element code, ABAQUS, and integrating it with proper orthogonal decomposition (POD). The capability of output and manipulation of matrices, the user subroutine for moving heat source and easy enforcement of boundary conditions, and the powerfulness of pre- and post-processing in the commercial software package are leveraged, resulting in a standard and accessible tool for POD analysis. The proposed strategy is validated through some benchmark heat transfer problems, and it is then applied to simulate the powder-bed electron-beam-melting (EBM) additive manufacturing (AM) process. The pure tungsten with the highest melting point in metals is chosen here as an example, and the first reference on EBM modeling of tungsten is provided, to the best knowledge of the authors. A substantial computation time saving, more than 70%, is achieved for the EBM modeling of single track scanning of a layer of tungsten powder put on a solid substrate. The proposed strategy is readily applicable to other heat transfer problems and AM process simulations, and has practical importance for the users either in industry or academia.

本文介绍了一种数值方案，该方案通过增强标准有限元代码 ABAQUS 并将其与适当的正交分解 (POD) 集成来实现瞬态传热问题的降阶建模。利用了矩阵的输出和操作能力、移动热源的用户子程序和轻松执行边界条件，以及商业软件包中预处理和后处理的强大功能，从而形成了一个标准且易于访问的 POD 工具分析。通过一些基准传热问题验证了所提出的策略，然后将其应用于模拟粉末床电子束熔化 (EBM) 增材制造 (AM) 过程。这里以金属中熔点最高的纯钨为例，根据作者的最佳知识，提供了第一个关于钨 EBM 建模的参考资料。对于放置在固体基板上的钨粉层的单轨道扫描的 EBM 建模，实现了显着的计算时间节省，超过 70%。所提出的策略很容易适用于其他传热问题和 AM 过程模拟，并且对工业界或学术界的用户具有实际意义。