Scholarlink

<p>This study investigates the dispersion characteristics of Lamb waves in porous functionally graded materials (FGM) with free boundaries, with a focus on the influence of porosity. The material properties of porous FGM are characterized by a mixed power-law model. Based on elastic wave theory, the wave equations for an infinite porous FGM plate are derived, and the dispersion equations of Lamb waves are obtained using the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ)&#xa0;method. To validate the proposed approach, the porous FGM layer is reduced to an isotropic material, and the results are compared with existing literature, demonstrating the method’s accuracy. Numerical solutions of the dispersion equations are implemented via MATLAB to analyze the effects of porosity, layer thickness and gradient index on dispersion curves. The results indicate that porosity, layer thickness and gradient index significantly affect Lamb wave dispersion. This study provides both theoretical and numerical foundations for understanding and utilizing Lamb waves in porous FGM structures, with potential applications in structural health monitoring and nondestructive testing for aerospace and civil engineering.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dispersion characteristics of Lamb waves in porous functionally graded plate with free boundaries

  • 期刊论文

  • 发表日期：

    2025年11月6日

查看全文
  • Jiezhi Wang,
  • Jiahe Guo,
  • Zhaochun Teng

摘要

This study investigates the dispersion characteristics of Lamb waves in porous functionally graded materials (FGM) with free boundaries, with a focus on the influence of porosity. The material properties of porous FGM are characterized by a mixed power-law model. Based on elastic wave theory, the wave equations for an infinite porous FGM plate are derived, and the dispersion equations of Lamb waves are obtained using the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) method. To validate the proposed approach, the porous FGM layer is reduced to an isotropic material, and the results are compared with existing literature, demonstrating the method’s accuracy. Numerical solutions of the dispersion equations are implemented via MATLAB to analyze the effects of porosity, layer thickness and gradient index on dispersion curves. The results indicate that porosity, layer thickness and gradient index significantly affect Lamb wave dispersion. This study provides both theoretical and numerical foundations for understanding and utilizing Lamb waves in porous FGM structures, with potential applications in structural health monitoring and nondestructive testing for aerospace and civil engineering.