| 纤维增强复合板中声弹Lamb波的波结构分析 |
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| 引用本文： | 刘宏业,刘申,吕炎,何存富,周丽红.纤维增强复合板中声弹Lamb波的波结构分析[J].工程力学,2020,37(8):221-229. |
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| 作者姓名： | 刘宏业 刘申 吕炎 何存富 周丽红 |
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| 作者单位： | 1.上海理工大学光电信息与计算机工程学院，上海 200093 |
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| 基金项目： | 国家自然科学基金项目(51705325，11872082，11527801) |
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| 摘 要： | 基于线性三维弹性理论和“增量变形力学”理论，采用勒让德正交多项式展开法，推导了在水平和垂直方向施加初应力时，沿纤维增强复合板的非主对称轴方向传播的声弹Lamb波的波动方程，并对波动方程进行数值求解。为了验证方法的准确性，将该文方法求解的各向同性材料的相速度频散曲线与Disperse?软件的计算结果进行比较，两者吻合良好。以单层单向纤维增强复合材料板为例，计算了无初应力状态下的波结构应力曲线，并与应力自由边界初始条件的一致性进行了比较。研究了水平和垂直方向初应力效应对Lamb波频散曲线的影响。针对声弹效应较为敏感的Lamb波A0模态，着重分析了初应力效应对波结构位移分布曲线的影响。
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| 关 键 词： | 纤维增强复合板 声弹 Lamb波 正交多项式 波结构 |
| 收稿时间： | 2019-09-25 |
WAVE STRUCTURE ANALYSIS OF ACOUSTOELASTIC LAMB WAVES IN FIBER REINFORCED COMPOSITE LAMINA |
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| Affiliation: | 1.School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China2.College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China |
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| Abstract: | Based on the linear three-dimensional elasticity theory and "Incremental Deformation Mechanics" theory, the wave equations of acoustoelastic Lamb waves propagating along the non-principal symmetry axes direction of fiber reinforced composite lamina were derived by using Legendre orthogonal polynomial expansion method when the initial stresses were applied horizontally and vertically. The wave equations were solved numerically. In order to verify the accuracy of the method, the dispersion curves of phase velocity for isotropic material obtained by the author’s method were compared with that from "Disperse?". The stress distributions of wave structure without initial stress were computed and compared with the initial condition of stress free boundary by taking a fiber reinforced composite lamina as an example. The effects of horizontal and vertical initial stresses on the dispersion curves of Lamb waves were studied. Because the Lamb wave A0 mode was more sensitive to the acoustoelastic effect, the influence of initial stresses on the displacement distributions of wave structure was investigated. |
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