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考虑相变的近场动力学热−力耦合模型及多孔介质冻结破坏模拟

李星 顾鑫 夏晓舟 陈爱玖 章青

李星, 顾鑫, 夏晓舟, 陈爱玖, 章青. 考虑相变的近场动力学热−力耦合模型及多孔介质冻结破坏模拟. 力学学报, 2022, 54(12): 3310-3318 doi: 10.6052/0459-1879-22-521
引用本文: 李星, 顾鑫, 夏晓舟, 陈爱玖, 章青. 考虑相变的近场动力学热−力耦合模型及多孔介质冻结破坏模拟. 力学学报, 2022, 54(12): 3310-3318 doi: 10.6052/0459-1879-22-521
Li Xing, Gu Xin, Xia Xiaozhou, Chen Aijiu, Zhang Qing. Peridynamic thermomechanical coupling model with phase change and simulation of freezing failure of porous media. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(12): 3310-3318 doi: 10.6052/0459-1879-22-521
Citation: Li Xing, Gu Xin, Xia Xiaozhou, Chen Aijiu, Zhang Qing. Peridynamic thermomechanical coupling model with phase change and simulation of freezing failure of porous media. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(12): 3310-3318 doi: 10.6052/0459-1879-22-521

考虑相变的近场动力学热−力耦合模型及多孔介质冻结破坏模拟

doi: 10.6052/0459-1879-22-521
基金项目: 国家自然科学基金(11932006, 52179133, U1934206, 12172121)资助项目
详细信息
    作者简介:

    章青, 教授, 主要研究方向: 计算力学与灾变破坏力学. E-mail: lxzhangqing@hhu.edu.cn

  • 中图分类号: O343.6

PERIDYNAMIC THERMOMECHANICAL COUPLING MODEL WITH PHASE CHANGE AND SIMULATION OF FREEZING FAILURE OF POROUS MEDIA

  • 摘要: 多孔介质的传热传质现象广泛存在于自然界和工业领域中. 低温条件可能导致多孔介质中的组分发生相变, 并由此诱发材料损伤, 甚至导致结构失效破坏. 对这类破坏现象的预测需要精细化建模, 以能够反映物质的相变过程和材料的破坏特征. 本文采用热焓法改写经典的热传导方程, 在近场动力学框架下, 建立了一种考虑物质相变的热−力耦合模型, 发展了交错显式求解的数值计算方法, 进行了方板角冻结、热致变形和多孔介质冻结破坏等问题的模拟, 得到了方板的冻结特征、温度场和变形场的分布规律以及多孔介质的冻结破坏过程, 与试验和其他数值方法的结果具有较好的一致性. 研究表明, 本文所建立的考虑物质相变的近场动力学热−力耦合模型能够反映材料的非局部效应和物质相变潜热的影响, 准确捕捉相变过程中液固界面的演化特征, 再现多孔介质中材料相变、基质热致变形和冻结破坏过程, 突破了传统连续性模型求解这类破坏问题时面临的瓶颈, 为深入研究多孔介质冻融破坏过程和破坏机理提供了有效途径.

     

  • 图  1  物质点间的相互作用

    Figure  1.  Interaction between material points ${x_p}$ and ${x'_p}$ in PD theory

    图  2  PD模型中热键

    Figure  2.  T-bonds in PD model

    图  3  热−力耦合模型数值计算程序流程图

    Figure  3.  Flow chart of numerical program of thermomechanical coupled model

    图  4  方板角冻结PD模拟结果

    Figure  4.  PD simulation results of square plate corner freezing

    图  5  相变界面位置比较

    Figure  5.  Comparison of phase change interface position

    图  6  受到双面温度载荷作用的正方形板

    Figure  6.  Square plate subjected to double side temperature load

    图  7  有限元(上)和近场动力学(下)模拟的t = 200 s时结果比较

    Figure  7.  Simulation result comparison of finite element and periynamics at t = 200 s

    图  8  近场动力学和有限元模拟得到的A, B, C点温度和位移时间历程比较

    Figure  8.  Comparison of temperature and displacement histories of points A, B and C obtained from peridynamics and finite element simulation

    图  9  含孔隙的砂浆方板

    Figure  9.  Mortar square plate with pores

    图  10  砂浆方板的冻结破坏过程

    Figure  10.  Frost failure process of mortar plate

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出版历程
  • 收稿日期:  2022-11-02
  • 录用日期:  2022-11-30
  • 网络出版日期:  2022-12-01
  • 刊出日期:  2022-12-15

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