东北大学毕业设计（论文） Abstract
Stress Concentration Analysis of Double Material Rectangular Plate with Round Hole
Abstract
As modern engineering ask more on materials, more and more new materials are used and dissimilar material, as a new material, is used more and more widely in various fields of engineering. In engineering, dissimilar material in the combination usually need to perforated, the hole will appear stress concentration or stress singularity. The circular hole is the most common, so the analysis of mechanical behavior of the plate with a circular hole is very meaningful. The main contents of this article is stress concentration analysis of double material rectangular plate.
Firstly, the effect of material constant on the stress concentration of the hole is analyzed by using the finite element software ABAQUS in this paper. When Poisson's ratio of material is the same, the stress concentration factor of the circular hole is increasing with the difference value of Young's modulus. When the Young's modulus of the material is same, the stress concentration factor of the circular hole is increasing with the difference value of Poisson's ratio.
Secondly, the influence of the hole shape change on the stress concentration of the hole is analyzed. This paper changes the orifice shape by changing the orifice at the interface end of curvature. The numerical analysis shows that the stress concentration factor of the hole is increasing with curvature.
Finally, the influence of the size of the rectangular plate on the stress concentration of the hole is studied. In this paper, the influence of the thickness of the plate, the width of the plate and the radius of the center circle on the stress concentration of the hole is mainly considered. The numerical analysis shows that the stress concentration factor of the hole is increasing with the thickness of the plate, and then decreasing slightly with the thickness of the plate.
Key words: finite element，stress concentration，dissimilar material
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东北大学毕业设计（论文） 目录
目 录
毕业设计（论文）任务书 ....................................................................................................... i 摘要............................................................................................................................................................. ii Abstract ................................................................................................................................................. iii 第1章 绪论 .................................................................................................................................. - 1 -
1.1 界面力学的研究对象及任务 ......................................................................................... - 1 - 1.2 国内外研究概况和发展趋势 ......................................................................................... - 2 - 1.3 研究目的和研究方法 ......................................................................................................... - 4 - 1.4本文的主要研究内容 ........................................................................................................... - 5 -
第2章 界面力学的基本理论 ........................................................................................ - 7 -
2.1界面的基本概念 ..................................................................................................................... - 7 - 2.2界面的力学模型 ..................................................................................................................... - 8 - 2.3 界面的分类............................................................................................................................. - 10 -
2.3.1 完全结合界面 ................................................................................................................. - 10 - 2.3.2 剥离界面 ...........................................................................................................................- 11 - 2.3.3 接触界面 .......................................................................................................................... - 12 -
2.4 Dundurs参数 ......................................................................................................................... - 12 - 2.5平面界面端附近的奇异应力场 ................................................................................... - 14 -
第3章 材料常数对圆孔应力集中的影响 ........................................................ - 19 -
3.1圆孔应力集中的概述 ......................................................................................................... - 19 - 3.2双材料含中心圆孔矩形板有限元模型的建立 .................................................... - 20 -
3.2.1 ABAQUS有限元软件简介 ........................................................................................ - 20 -
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东北大学毕业设计（论文） 目录
3.2.2利用模型的对称性 ......................................................................................................... - 20 - 3.2.3模型划分网格 .................................................................................................................. - 21 -
3.3用ABAQUS分析杨氏模量对圆孔应力集中的影响 ...................................... - 22 -
3.3.1选择的材料主要的力学性能 ....................................................................................... - 22 - 3.3.2横向加载情况 .................................................................................................................. - 23 - 3.3.3纵向加载情况 .......................................................................................................................... - 25 -
3.4用ABAQUS分析泊松比对圆孔应力集中的影响 ........................................... - 26 -
3.4.1选择的材料主要的力学性能 ....................................................................................... - 26 - 3.4.2横向加载情况 .................................................................................................................. - 27 - 3.4.3纵向加载情况 .................................................................................................................. - 29 -
3.5本章小结 ................................................................................................................................... - 30 -
第4章 几何形状对圆孔应力集中的影响 ........................................................ - 33 -
4.1 孔口形状对孔口应力集中的影响 ............................................................................. - 33 -
4.1.1有限元模型的建立 ......................................................................................................... - 33 - 4.1.2选择的材料主要的力学性能 ....................................................................................... - 34 - 4.1.3应用ABAQUS分析孔口形状对孔口应力集中的影响 ...................................... - 34 -
4.2板的相对尺寸对圆孔应力集中的影响.................................................................... - 37 -
4.2.1有限元模型的建立 ......................................................................................................... - 37 - 4.2.2选择的材料主要的力学性能 ....................................................................................... - 38 - 4.2.3应用ABAQUS分析板的相对尺寸对圆孔应力集中的影响 ............................. - 38 -
4.3本章小结 ................................................................................................................................... - 44 -
第5章 结论与展望 .............................................................................................................. - 47 -
5.1结论 .............................................................................................................................................. - 47 - 5.2展望 .............................................................................................................................................. - 48 -
参考文献 ......................................................................................................................................... - 49 - 致谢........................................................................................................................................................... 53
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