In this study, we develop a phase-field model to describe the solid–liquid phase changes, heat conduction phenomena, during the selective laser melting process. This model is based on the variational principle of minimizing the free energy functional. The proposed model integrates the phase-field equation and the energy equation, which are used to capture the dynamical behavior of the interfacial evolution. We use the semi-implicit Crank–Nicolson scheme and central difference to ensure second-order accuracy in time and space. The numerical scheme is unconditional energy stable. This paper rigorously proves the energy stability of the phase-field model of the Selective Laser Melting process, which confirms the numerical stability and the physical rationality of the solution. Various numerical experiments are performed to verify the robustness of our proposal model. This model can effectively simulate the energy transfer and shape structure changes of the products during the selective laser melting manufacturing process, which provides a reliable guarantee for predicting and optimizing the quality and performance of the selective laser melting process additive manufacturing process.

中文翻译：

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增材制造中选择性激光熔化技术的基于相场的建模和仿真


在这项研究中，我们开发了一个相场模型来描述选择性激光熔化过程中的固液相变和热传导现象。该模型基于最小化自由能泛函的变分原理。所提出的模型集成了相场方程和能量方程，用于捕获界面演化的动态行为。我们使用半隐式Crank-Nicolson格式和中心差分来确保时间和空间上的二阶精度。该数值格式是无条件能量稳定的。本文严格证明了选择性激光熔化过程相场模型的能量稳定性，证实了解的数值稳定性和物理合理性。进行了各种数值实验来验证我们的建议模型的稳健性。该模型能够有效模拟选区激光熔化制造过程中产品的能量传递和形状结构变化，为预测和优化选区激光熔化增材制造过程的质量和性能提供了可靠的保证。