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适用于铅锡合金动态响应的机器学习势函数OA

A Machine Learning Potential Model for Simulating Dynamic Mechanical Response of Pb-Sn Alloy

中文摘要英文摘要

铅是一种低熔点且具有复杂温度-压力相图的金属材料,经过与锡的合金化,能够进一步降低其熔点,使得铅锡合金成为研究材料动态力学响应及动态破坏行为的重要模型材料.目前,受表征手段的限制,通过实验方法揭示铅锡合金在原子尺度上的动态破坏行为和机理仍存在巨大挑战.非平衡分子动力学是一种重要的理论研究手段,可以模拟动态过程中的原子运动轨迹,从而揭示动态加载-卸载及破坏行为中的关键原子尺度过程.然而,分子动力学方法的可靠性依赖其所采用的原子间相互作用势函数的精度,目前并没有适用于铅锡合金的动态响应研究的高精度势函数,因此,制约了铅锡合金的动态模拟研究.通过同步学习策略,构建了压力为 0~100 GPa、温度为 0~5 000 K下具有第一性原理精度的铅锡合金机器学习势函数模型DP-PbSn.该势函数能够以第一性原理的精度预测铅锡合金的点阵常数和弹性常数等基本性质,以及表面能、层错能、空位形成能等缺陷性质,还能够准确地预测其熔化线和冲击Hugoniot曲线,展现了其在动态响应模拟过程中的适用性.利用该势函数对铅和铅锡合金的动态力学响应行为进行了初步的模拟研究,揭示了锡对动态加载过程中相变及塑性行为的影响.该势函数作为重要的理论工具,能够实现高精度的非平衡分子动力学模拟,从而为铅锡合金动态力学损伤行为的实验研究提供关键理论依据.

Lead is a low-melting-point metal with a complex temperature-pressure phase diagram.Alloying with tin further reduces its melting temperature,making lead-tin alloys an important model material for studying dynamic mechanical responses and failure behavior.However,experimental characterization of atomic-scale dynamic failure mechanisms in PbSn alloys remains challenging due to current technical limitations.Non-equilibrium molecular dynamics(NEMD)simulations can track atom trajectories and reveal key dynamic processes under dynamic loading-unloading.It thus serves as a critical alternative tool.Yet,the reliability of molecular dynamics relies on the accuracy of interatomic potentials,and currently,no high-accuracy potential exists for PbSn alloys under dynamic conditions.In this work,we develop a machine-learning interatomic potential(DP-PbSn)for PbSn alloys using a concurrent learning scheme.This potential achieves first-principles accuracy across a wide thermodynamic range(0-100 GPa,0-5 000 K),reliably predicting fundamental properties(e.g.,lattice constants,elastic constants),defect energetics(e.g.,surface energy,stacking fault energy,vacancy formation energy),as well as melting curves and shock Hugoniot curves,demonstrating its suitability for dynamic simulations.Leveraging this potential,we conduct preliminary NEMD simulations to investigate the dynamic mechanical responses of pure Pb and PbSn alloys,elucidating the influence of Sn on phase transitions and plastic deformation under dynamic loading.The DP-PbSn serves as a robust theoretical tool for high-accuracy non-equilibrium molecular dynamics,providing essential insights for experimental studies on the dynamic damage behavior of PbSn alloys.

HOU Enze;WANG Xiaoyang;WANG Han

Institute of Applied Physics and Computational Mathematics,Beijing 100094,China||Graduate School of China Academy of Engineering Physics,Beijing 100088,ChinaLaboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100094,ChinaLaboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100094,China||Center for Applied Physics and Computing,College of Engineering,Peking University,Beijing 100871,China

数理科学

铅锡合金动态力学响应机器学习原子间作用势函数

lead-tin alloydynamic mechanical responsesmachine learninginteratomic potential

《高压物理学报》 2026 (1)

90-101,12

10.11858/gywlxb.20251151

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