纤维金属层板层间应力理论模型及实验验证
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作者:
作者单位:

1.中南大学机电工程学院,长沙 410083;2.中南大学轻合金研究院,长沙 410083

通讯作者:

湛利华,女,教授,博士生导师,E-mail: yjs-cast@csu.edu.cn。

中图分类号:

TB333

基金项目:

国家自然科学基金(51675538)资助项目。


Theoretical Model and Experimental Verification of Interlaminar Stress of Fiber Metal Laminates
Author:
Affiliation:

1.College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China;2.China Light Alloys Research Institute, Central South University, Changsha 410083, China

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    摘要:

    探究并建立纤维金属层板中的金属与复合材料的热膨胀系数不匹配而导致的制件界面处产生的较大的层间应力的数学模型。首先通过控制简单非对称纤维金属层板三维各向尺度的变化,得到各向尺度变化对纤维金属层板层间应力的变化影响规律,并根据所得规律简化了纤维金属层板的力学结构模型。基于弹性力学和理论力学对设置的力学模型进行分析,得出了单向非对称铺层纤维金属层板层间应力的数学模型。然后通过分析非对称铺层与对称铺层制件之间的联系,将非对称铺层的纤维金属层板层间应力表达式推广到了标准对称铺层。光纤光栅传感器实测出的应力值与理论模型得出的应力值进行对比,最大误差不超过3.504%。验证了纤维金属层板层间应力理论模型的准确性。

    Abstract:

    In order to explore and establish the mathematical model of the greater interlaminar stress at the internal interface of the part caused by the mismatch of the thermal expansion coefficient between the metal and the composite during the forming process of the fiber-reinforced metal laminate. First of all, in order to simplify the mechanical model of fiber-reinforced metal laminates reasonably, through analyzing the influence of the change of three-dimensional anisotropic scale of simple asymmetric fiber-reinforced metal laminates on the warpage degree after forming and demoulding, it is found that the magnitude of interlaminar stress is mainly related to the proportion of metal and composite materials in the laminates. Then the mechanical model of the laminated plate is simplified into two-dimensional model by using the obtained law. Based on the analysis of elastic mechanics and theoretical mechanics, the mathematical model of interlaminar stress of unidirectional asymmetric fiber-reinforced metal laminates is obtained. By dividing symmetrical laminates into several asymmetrical laminates, the interlaminar stress expression of fiber metal laminates in asymmetric laminates is successfully extended to standard symmetrical laminates. Because it is impossible to measure the interlaminar stress directly, the theoretical value of interlaminar normal stress will be obtained indirectly based on the relationship between interlaminar shear stress and interlaminar normal stress. The stress value measured by the fiber grating sensor is compared with the stress value obtained by the theoretical model, and the maximum error does not exceed 3.504%, which verifies the accuracy of the theoretical model of the interlayer stress of the fiber metal laminate.

    表 1 实验试件铺层与尺寸信息Table 1 Test specimen layering and dimension information
    图1 非对称铺层制件挠曲曲率与制件纵向尺度的关联规律Fig.1 Relationship between flexural curvature and longitudinal dimension of asymmetric layering parts
    图2 非对称铺层制件挠曲曲率与制件横向尺度的关联规律Fig.2 Relationship between flexural curvature and transverse dimension of asymmetric layering parts
    图3 非对称铺层制件挠曲曲率与制件复合材料体积占比关联规律Fig.3 Relationship between flexural curvature and volume ratio of composite materials of asymmetric layering parts
    图4 纤维金属层板非对称铺层制件受力分析模型规律Fig.4 Force analysis model for asymmetric laminates of fiber metal laminates
    图5 非对称制件脱模后制件挠曲半径与最大挠度几何关系示意图Fig.5 Schematic diagram of geometric relationship between bending radius and maximum deflection of asymmetric parts after demoulding
    图6 标准4/3铺层纤维金属层板简图Fig.6 Schematic diagram of standard 4/3 laminate fiber metal laminate
    图7 纤维金属层板2/1铺层制件受力分析模型Fig.7 Force analysis model of fiber metal laminate 2/1 laminate
    图8 实验传感器布置及真空袋构成Fig.8 Experimental sensor arrangement and vacuum bag composition
    图9 胶层附近区域形貌Fig.9 Area morphology of adhesive layer accessories
    图10 层内正应力的实验测得值与理论转换值对比Fig.10 Comparison between experimental and theoretical values of normal stress in the layer
    表 2 各组份材料的热力学参数Table 2 Thermodynamic parameters of each component material
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赵国庆,湛利华,吴欣桐,关成龙,戴光明.纤维金属层板层间应力理论模型及实验验证[J].南京航空航天大学学报,2021,53(1):101-108

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  • 收稿日期:2019-12-13
  • 最后修改日期:2020-04-10
  • 在线发布日期: 2021-02-05
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