基于PD-FEM混合模型的材料热力耦合损伤分析

曾金宝; 姜翠香; 张益豪

doi:10.21656/1000-0887.450006

基于PD-FEM混合模型的材料热力耦合损伤分析

doi: 10.21656/1000-0887.450006

武汉科技大学理学院，武汉 430065

详细信息

作者简介:
曾金宝(1995—)，男，硕士生(E-mail: [email protected])

通讯作者:
姜翠香(1967—)，女，博士，硕士生导师(通讯作者. E-mail: [email protected])

中图分类号: O346.1
计量
- 文章访问数: 90
- HTML全文浏览量: 26
- PDF下载量: 26
- 被引次数: 0
出版历程
- 收稿日期: 2024-01-08
- 修回日期: 2024-03-01
- 刊出日期: 2024-10-01

Thermal-Mechanical Coupling Damage Analysis of Material Based on PD-FEM Hybrid Model

College of Science, Wuhan University of Science and Technology, Wuhan 430065, P.R.China

摘要

摘要: 提出了一种新的近场动力学-有限元方法(peridynamics-finite element method，PD-FEM)混合模型. 该模型用于求解材料热力耦合损伤问题，将求解域划分为近场动力学(PD)区域和有限元方法(FEM)区域，通过FEM节点与PD物质点构成的混合键连接各个子区域. 采用该模型对氧化铝陶瓷板在热冲击载荷作用下的损伤行为进行了模拟分析，计算结果表明，采用该混合模型获得的裂纹萌生及扩展与实验研究结果吻合良好，验证了该模型的正确性. 该PD-FEM混合模型继承了PD处理不连续问题的优势，同时，由于FEM的引入，大大提高了PD方法在研究材料热力耦合损伤问题时的求解效率.
- 热力耦合 /
- 近场动力学 /
- PD-FEM模型 /
- 裂纹 /
- 损伤
Abstract: A new PD-FEM (peridynamics-finite element method) hybrid model method was proposed for solving thermal-mechanical coupling problems. Its solution region was divided into peridynamics and finite element subregions. The hybrid bonds introduced to mixed these two subregions were composed of finite element nodes and peridynamics material points. The hybrid model was used to simulate damage behavior of alumina ceramic plates under thermal shock loads. Calculation results showed that the cracks initiation and propagation obtained by the hybrid model were in good agreement with experiment results, which validated the accuracy and availability of the hybrid model. The PD-FEM hybrid model inherits the advantage of peridynamics in dealing with discontinuous problems. Because the finite element method is introduced, the model significantly improves the efficiency of studying thermal-mechanical coupling problems using peridynamics method.
- thermal-mechanical coupling /
- peridynamics /
- PD-FEM model /
- crack /
- damage

HTML全文

图 1 PD-FEM混合模型示意图

Figure 1. Schematic diagram of the PD-FEM hybrid model

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图 2 局部坐标系中物质点对之间的相互作用

Figure 2. The interaction between material points in local coordinates

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图 3 陶瓷板冷却PD-FEM混合模型模拟分析示意图

Figure 3. Schematic diagram of the PD-FEM hybrid simulation model for ceramic plates cooling

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图 4 解析解与PD-FEM模型结果对比

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 4. Comparison of the analytical solution and the PD-FEM model results

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图 5 PD-FEM模型的相对误差和PD热力耦合模型的相对误差对比

Figure 5. Comparison of the PD-FEM model relative errors and the PD thermo-mechanical coupling model relative errors

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图 6 PD-FEM计算模型示意图

Figure 6. Schematic diagram of the PD-FEM calculation model

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图 7 陶瓷板水平中线位移和温度响应

Figure 7. Displacement and temperature responses along the horizontal axis of ceramic plates

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图 8 陶瓷板淬火PD-FEM混合模型模拟分析示意图

Figure 8. Schematic diagram of the PD-FEM hybrid simulation model for ceramic plates quenching

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图 9 PD-FEM混合模型与PD热力模型裂纹扩展结果对比

Figure 9. Comparison of crack propagation results between the PD-FEM hybrid model and the PD thermo-mechanical coupling model

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图 10 不同初始温度和宽度的陶瓷板淬火实验结果^[28]

Figure 10. Quenching experiment results of ceramic plates with different initial temperatures and widths^[28]

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图 11 不同初始温度和宽度的PD-FEM模型裂纹扩展结果

Figure 11. Crack propagation results of PD-FEM models with different initial temperatures and widths

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图 12 PD-FEM模型结果与实验结果^[28]对比

Figure 12. Comparison of PD-FEM models results and experimental results^[28]

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图 13 陶瓷板竖直中线应变能密度分布

Figure 13. Strain energy density distributions along the vertical axis of ceramic plates

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表 1 Al₂O₃陶瓷板材料参数^[28]

Table 1. Material parameters of the Al₂O₃ ceramic plate^[28]

material parameter	value
elastic modulus E/GPa	370
Poisson’s ratio υ	1/3
density ρ/(kg/m³)	3 960
fracture energy release rate G₀/(J/m²)	24.3
thermal expansion α/K^-1	6.8×10^-6
heat capacity c_v/(J/(kg·K))	880
thermal conductivity k/(W/(m·K))	20

下载: 导出CSV

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