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论文:2019,Vol:37,Issue(5):903-908 |
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引用本文： |
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王飞, 马玉娥, 郭妍宁, 黄玮. 基于近场动力学理论的功能梯度材料瞬态热响应研究[J]. 西北工业大学学报 |
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WANG Fei, MA Yu'e, GUO Yanning, HUANG Wei. Study on Transient Thermal Response for Functionally Graded Materials Based on Peridynamic Theory[J]. Northwestern polytechnical university |
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| 基于近场动力学理论的功能梯度材料瞬态热响应研究 |
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| 王飞, 马玉娥, 郭妍宁, 黄玮 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| 基于近场动力学（peridynamics，简称PD）理论推导了功能梯度材料（functionally graded materials，简称FGMs）的热传导控制方程，给出FGM简化微热导率模型与PD热传导方程离散过程及数值计算格式。编写了PD热传导数值计算FORTRAN程序，并与有限元解及解析解对比验证了程序正确性。计算了以钛合金表面涂覆氧化锆的FGM矩形板温度分布，研究了组分分布形状、孔隙率以及边界温度对FGM瞬态热响应的影响。结果表明：组分形状分布系数增大，使得陶瓷材料占比提高导致FGMs隔热性能增加；孔隙率对温度分布的影响随传热时间的增加而增加，导致FGMs隔热性能降低；温度荷载的升高只会影响FGM陶瓷区一定厚度内的温度响应，该温度分布厚度随传热时间的增加而增大。 |
| 关键词:
近场动力学
瞬态热传导
功能梯度材料
温度分布
组分
孔隙率
钛合金表面涂覆氧化锆
简化微热导率模型
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| Study on Transient Thermal Response for Functionally Graded Materials Based on Peridynamic Theory |
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| WANG Fei, MA Yu'e, GUO Yanning, HUANG Wei |
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| School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| The transient heat conduction formula of functionally graded materials (FGMs) is presented based on peridynamics (PD). The simplified micro-heat conductivity model for FGMs is proposed and the numerical discretization and the peridynamic numerical formation are also illustrated. A FORTRAN program is coded to implement calculations. The accuracy of the program is verified by comparing the FEM and analytical results with PD solution. The FGM rectangle plate composed by titanium alloy coating zirconium oxide is performed to calculate temperature fields. The effects of material gradient, porosity and temperature load on thermal response are studied. It is shown that the ceramic proportion of FGMs is increased with an increasing material shape parameter and the thermal shielding performance of FGMs is also improved. The effect of the porosity on thermal response is more and more significant with the increasing time step. The increasing temperature load only affects the temperature response of FGM ceramic area. The thickness of temperature distribution area is increased with the increasing of heat conduction time. |
| Key words:
peridynamic theory
transient heat conduction
functionally graded materials
temperature distribution
material gradient
porosity
titanium alloy coating zirconium oxide
simplified micro-heat conductivity model
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| 收稿日期: 2018-10-09
修回日期:
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| DOI: 10.1051/jnwpu/20193750903 |
| 基金项目: 国家自然科学基金（11572250）资助 |
| 通讯作者:
Email： |
| 作者简介: 王飞(1987-),西北工业大学博士研究生,主要从事固体力学计算研究。
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| 作者相关文章 |
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| 王飞 在本刊中的所有文章 |
| 马玉娥 在本刊中的所有文章 |
| 郭妍宁 在本刊中的所有文章 |
| 黄玮 在本刊中的所有文章 |
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