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工程力学  2014 

金属裂纹板复合材料修补结构的超奇异积分方程方法

DOI: 10.6052/j.issn.1000-4750.2013.05.0438, PP. 31-38

Keywords: 复合材料胶接修补,超奇异积分方程,应力强度因子,Line-Spring模型,虚拟裂纹闭合法

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Abstract:

根据应力强度因子在线弹性范围内具有可叠加性,将金属裂纹板复合材料修补结构进行简化,在表面裂纹线弹簧模型的基础上,建立了基于超奇异积分方程的Line-Spring模型。利用第二类Chebyshev多项式展开的方法,将超奇异积分方程转化为线性方程组,推导出以裂纹面位移表示的应力强度因子表达式,得到了裂纹尖端应力强度因子的数值解,并利用虚拟裂纹闭合法加以验证。参数分析确定了影响对称修补裂纹板应力强度因子的两个主要参数:胶层界面刚度和补片与金属板刚度比,为胶接修补结构的承载能力分析以及改进设计提供理论依据。

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