多孔功能梯度材料中Love波的频散特性分析

ANALYSIS OF DISPERSION CHARACTERISTICS OF LOVE WAVES IN POROUS FUNCTIONALLY GRADED MATERIALS

  • 摘要: 研究多孔功能梯度材料(Functionally Graded Materials,FGM)中Love波的频散特性,重点分析孔隙率对多孔FGM中Love波频散特性的影响。考虑由混合幂律模型来表征多孔FGM的材料属性,基于弹性波理论,建立了多孔FGM层覆盖的半无限大弹性体中的波动方程,再利用Wentzel-Kramers-Brillouin-Jeffreys (WKBJ)法得到多孔FGM中Love波的频散方程。将多孔FGM层退化为各向同性材料,并与已有文献结果进行对比,验证了该文方法的有效性和正确性。应用数学软件对频散方程进行编程求解,得到不同孔隙率、多孔FGM层厚度以及材料梯度指数下的频散曲线。结果表明:孔隙率、覆盖层厚度和材料梯度指数对Love波的频散具有显著影响。该研究为了解和应用Love波在多孔FGM中的频散特性提供了理论和数值基础。

     

    Abstract: This study investigates the dispersion characteristics of Love waves in porous functionally graded materials (FGM), focusing on the influence of porosity on the dispersion of Love waves in porous FGM. The material properties are characterized by a hybrid power-law model. Governing wave equations for a semi-infinite elastic substrate overlaid by a porous FGM layer are established upon elastic wave theory. The dispersion equation for Love waves in porous FGM is derived using the Wentzel-Kramers-Brillouin-Jeffreys (WKBJ) method. The validation of the method proposed is conducted by reducing the porous FGM layer to an isotropic case, and analysis results align with existing literatures, confirming the method’s effectiveness and validity. Numerical solutions obtained through mathematical software demonstrate the effects of porosity, of layer thickness, and of gradient index on dispersion curves. The results demonstrate that porosity, layer thickness, and gradient index have a considerable influence on Love wave dispersion characteristics. This study provides theoretical and computational foundations for analyzing Love wave behavior in porous FGM.

     

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