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基于三维随机细观模型的SiCp/Al复合材料力学性能分析

田学亮 徐颖 王学民 崔海涛 蒋鹏琛 张宏建 韩琦男

田学亮, 徐颖, 王学民, 等. 基于三维随机细观模型的SiCp/Al复合材料力学性能分析[J]. 航空动力学报, 2024, 39(6):20210687 doi: 10.13224/j.cnki.jasp.20210687
引用本文: 田学亮, 徐颖, 王学民, 等. 基于三维随机细观模型的SiCp/Al复合材料力学性能分析[J]. 航空动力学报, 2024, 39(6):20210687 doi: 10.13224/j.cnki.jasp.20210687
TIAN Xueliang, XU Ying, WANG Xuemin, et al. Analysis of mechanical properties of SiCp/Al composites based on three-dimensional random meso-model[J]. Journal of Aerospace Power, 2024, 39(6):20210687 doi: 10.13224/j.cnki.jasp.20210687
Citation: TIAN Xueliang, XU Ying, WANG Xuemin, et al. Analysis of mechanical properties of SiCp/Al composites based on three-dimensional random meso-model[J]. Journal of Aerospace Power, 2024, 39(6):20210687 doi: 10.13224/j.cnki.jasp.20210687

基于三维随机细观模型的SiCp/Al复合材料力学性能分析

doi: 10.13224/j.cnki.jasp.20210687
详细信息
    作者简介:

    田学亮(1996-),男,硕士生,主要从事先进复合材料的结构设计、强度和疲劳研究。E-mail:tianxueliang126@126.com

    通讯作者:

    徐颖(1979-),女,副教授,博士,主要从事先进复合材料的损伤失效、强度和疲劳研究。E-mail:xying@nuaa.edu.cn

  • 中图分类号: V257

Analysis of mechanical properties of SiCp/Al composites based on three-dimensional random meso-model

  • 摘要:

    基于颗粒增强铝基复合材料的细观组成及结构特点,建立了考虑颗粒、基体、界面性能的三维随机细观颗粒增强复合材料分析模型和方法。在细观尺度上,分别采用立方颗粒、球形颗粒及三维随机多面体模型来表征颗粒的形状,根据颗粒原材料粒度分析获得的粒径分布数据,建立考虑颗粒空间分布的随机特性及粒径的概率分布特征的三维随机代表性体积单元。在Ludwik模型基础上考虑淬火硬化效应,描述铝基体的弹塑性本构关系,考虑了基体的韧性损伤、SiC颗粒的弹脆性破坏以及界面的拉伸-开裂行为,模拟了材料在单轴拉伸过程中的变形和损伤过程。开展SiCp/Al2009复合材料标准件的单轴拉伸试验验证,结果表明:弹性模量、屈服强度和拉伸强度的预测最大误差分别在5%、5%及11%以内;弹性模量的预测结果受颗粒形状影响较小;其中,三维随机多面体模型的拉伸强度预测精度最高,且能反映出颗粒增强复合材料拉伸断裂过程中的基体韧性断裂、颗粒脆性破坏以及界面脱黏的破坏模式;该模型和方法可为颗粒增强铝基复合材料的细观损伤机理及宏观力学性能分析提供有益的参考。

     

  • 图 1  SiC颗粒尺寸分析

    Figure 1.  SiC particle size analysis

    图 2  SiCp/Al复合材料RVE建立

    Figure 2.  Establishment of RVE for SiCp/Al Composites

    图 3  RVE边界条件设置

    Figure 3.  RVE boundary condition setting

    图 4  RVE载荷施加示意图

    Figure 4.  Schematic diagram of RVE load application

    图 5  线性损伤演化模式

    Figure 5.  Linear damage evolution model

    图 6  基于三维随机RVE的SiCp/Al复合材料细观力学分析模型和方法流程图

    Figure 6.  Meso-mechanical analysis model and method flow chart of SiCp/Al composites based on three-dimensional random RVE

    图 7  不同网格尺寸的RVE-Su预测结果对比

    Figure 7.  Comparison of RVE-Su prediction results with different mesh size

    图 8  不同尺寸的RVE预测结果对比

    Figure 8.  Comparison of RVE prediction results of different sizes

    图 9  不同颗粒形状的RVE随机模型验证

    Figure 9.  Verification of RVE model with different particle shapes

    图 10  SiCp/Al2009复合材料单轴拉伸应力应变曲线(单位: mm)

    Figure 10.  Uniaxial tensile stress-strain curve of SiCp/Al2009 composite (unit: mm)

    图 11  不同RVE预测结果和试验结果对比

    Figure 11.  Comparison of different RVE prediction results and test results

    图 12  RVE拉伸破坏阶段Mises应力云图

    Figure 12.  Mises stress nephogram at tensile failure stage for RVE

    图 13  RVE拉伸破坏阶段PEEQ云图

    Figure 13.  PEEQ nephogram at tensile failure stage for RVE

    图 14  RVE中SiC颗粒不同拉伸阶段的最大主应力分布云图

    Figure 14.  Nephogram of maximum principal stress distribution of SiC psrticle in RVE at different tensile stages

    图 15  单轴拉伸断口形貌

    Figure 15.  Uniaxial tensile fracture morphology

    表  1  Al2009铝合金的组分质量分数

    Table  1.   Component content of Al2009 alloy %

    Cu Si Fe Zn O 杂质 Al
    4.06 0.25 0.2 0.1 0.6 0.2 其余
    下载: 导出CSV

    表  2  组分的基本性能参数

    Table  2.   Basic performance parameters of components

    材料 密度/(g/cm3 弹性模量/GPa 泊松比
    Al2009[30] 2.7 75 0.33
    SiCp[29] 3.2 427 0.17
    下载: 导出CSV

    表  3  淬火硬化效应计算参数值[33]

    Table  3.   Calculation parameter value of quenching hardening effect[33]

    β b/nm $\Delta {C_{{\mathrm{te}}}}$/℃−1
    2.7 0.283 19.3×10−6
    下载: 导出CSV

    表  4  SiCp/Al2009复合材料单轴拉伸试验结果

    Table  4.   Uniaxial tensile test results of SiCp/Al2009 composites

    应变速率 E/GPa ${\sigma _{0.2}}$/MPa ${\sigma _{\mathrm{b}}}$/MPa ${\varepsilon _{\mathrm{f}}}$/%
    4×10−3/s 103 440 568 3.3
    112 447 561 4.4
    2×10−3/s 103 422 532 2.2
    105 437 566 3.1
    1×10−3/s 104 446 573 4.0
    104 429 563 3.8
    均值 105 437 560 3.5
    下载: 导出CSV

    表  5  不同RVE模型预测结果及试验对比

    Table  5.   Prediction results and test comparison of different RVE models

    模型 E/GPa ${\sigma _{0.2}}$/MPa ${\sigma _{\mathrm{b}}}$/MPa ${\varepsilon _{\mathrm{f}}}$/% 试样数量
    试验结果 105 437 560 3.5 6
    RVE-Cube 103 448 503 2.3 3
    RVE-Spherical 102 430 501 2.8 3
    RVE-Su 102 452 508 2.2 3
    下载: 导出CSV
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  • 收稿日期:  2021-12-01
  • 网络出版日期:  2024-01-20

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