Abstract The current work is devoted to the problem of the validation of dispersion curves and numerical simulations of fundamental Lamb wave and shear horizontal elastic wave modes for fiber metal laminates (FML). In the present study, two types of FM laminates are considered. In the first case, the studied composite material consists of 7 layers: one layer is made of aluminum alloy AW-6060 while the rest of the layers are made of carbon/epoxy resin. In the second case, the FML is constructed of one layer of aluminum alloy and the rest six layers are made of glass/epoxy. In order to extract the dispersion curves for the fundamental S0, SH0, and A0 modes, as well as higher modes from the range 5 up to 1000 [kHz], the stiffness matrix method, is employed. In the first case the computations are performed for the following cross-ply stacking sequences: [Al, ±5°6], [Al, ±15°6], [Al, ±25°6], … , [Al, ±85°6]. Next, the FEM simulations of elastic wave propagation are performed in the case of plates, which are made of analyzed FML composites. In the first studied FML material, the fundamental symmetric mode S0 is generated while in the second case the fundamental antisymmetric mode A0 is excited. It occurred that in the case of aluminum alloy/carbon fibers the generation of the pure fundamental symmetric mode S0 is very difficult. In addition, the fundamental symmetric mode S0, the shear horizontal SH0, and the antisymmetric A0 wave modes are also present. In the case of aluminum alloy and carbon/epoxy, the pure antisymmetric mode A0 can be relatively easily generated. However, a significant dispersion phenomenon is visible. For the aluminum alloy and glass/epoxy, the obtained results are experimentally verified.

中文翻译：

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纤维金属层压板的色散曲线及弹性波模式识别

摘要 当前的工作致力于验证纤维金属层压板 (FML) 的基本兰姆波和剪切水平弹性波模式的频散曲线和数值模拟问题。在本研究中，考虑了两种类型的 FM 层压板。在第一种情况下，所研究的复合材料由 7 层组成：一层由铝合金 AW-6060 制成，其余层由碳/环氧树脂制成。在第二种情况下，FML 由一层铝合金构成，其余六层由玻璃/环氧树脂制成。为了提取基本 S0、SH0 和 A0 模式以及 5 到 1000 [kHz] 范围内的更高模式的色散曲线，采用了刚度矩阵方法。在第一种情况下，计算是针对以下交叉层堆叠序列执行的：[Al，±5°6]，[Al，±15°6]，[Al，±25°6]，……，[Al，± 85°6]。接下来，在由分析的 FML 复合材料制成的板的情况下执行弹性波传播的 FEM 模拟。在第一个研究的 FML 材料中，产生了基本对称模式 S0，而在第二种情况下，基本反对称模式 A0 被激发。发生在铝合金/碳纤维的情况下，纯基本对称模式 S0 的产生是非常困难的。此外，还存在基本对称模式 S0、剪切水平 SH0 和反对称 A0 波模式。在铝合金和碳/环氧树脂的情况下，纯反对称模式 A0 可以相对容易地产生。然而，可见明显的色散现象。对于铝合金和玻璃/环氧树脂，所得结果经过实验验证。