郑阳, 周进节. 兰姆波在裂纹处的模态转换及散射特性研究[J]. 工程力学, 2014, 31(6): 21-29. DOI: 10.6052/j.issn.1000-4750.2012.12.0982
引用本文: 郑阳, 周进节. 兰姆波在裂纹处的模态转换及散射特性研究[J]. 工程力学, 2014, 31(6): 21-29. DOI: 10.6052/j.issn.1000-4750.2012.12.0982
ZHENG Yang, ZHOU Jin-jie. MODE CONVERSION AND SCATTERING PROPERTIES OF LAMB WAVES NEAR LOCALIZED CRACKING[J]. Engineering Mechanics, 2014, 31(6): 21-29. DOI: 10.6052/j.issn.1000-4750.2012.12.0982
Citation: ZHENG Yang, ZHOU Jin-jie. MODE CONVERSION AND SCATTERING PROPERTIES OF LAMB WAVES NEAR LOCALIZED CRACKING[J]. Engineering Mechanics, 2014, 31(6): 21-29. DOI: 10.6052/j.issn.1000-4750.2012.12.0982

兰姆波在裂纹处的模态转换及散射特性研究

MODE CONVERSION AND SCATTERING PROPERTIES OF LAMB WAVES NEAR LOCALIZED CRACKING

  • 摘要: 该文采用散射矩阵表征兰姆波在缺陷处的模态转换和散射特性, 研究了S0模态兰姆波与亚波长级槽形裂纹的交互作用. 由板中导波模态位移场的特性, 提出了只存在零阶模态时的模态分离方法. 求解了S0模态在不同尺寸裂纹处的多模态散射矩阵. 结果表明, S0模态入射到裂纹时, 散射波动场周向分布不均, 与入射角度相关;散射特征的强弱由裂纹长度决定, 长度越短, 散射特征越明显;各散射模态的能量分配由裂纹的深度决定, 随着裂纹深度增加, 散射的S0和SH0模态能量增加, 而A0模态先增加后急剧减小.

     

    Abstract: A scattering matrix was employed to present the mode conversion and scattering properties of Lamb waves near material defects. A 3D FE model was used to study the interaction of the S0 mode Lamb wave with sub-wavelength cracking. A mode separation method for zero order plate guided waves was developed based on their displacement field characteristics, and used to calculate multi-modal scattering matrixes describing the S0 mode’s interaction with differently-sized cracks. Results show that the scattering field is non-uniform in the circumferential direction, and related to incident angle. Scattering strength relates to crack length; the shorter the crack length, the more obvious the scattering effect. Crack depth determines the energy portion of each mode. With the increase of crack depth, the scattering energy of S0 and SH0 increases, and the A0 mode first increases and then decreases sharply.

     

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