Scholarlink

<p>In this study, we propose a generalized power series method for solving coupled differential equations of motion for plane strain surface wave propagation in functionally graded materials (FGM) solid cylinders. Unlike conventional power series methods, this approach incorporates power index functions and their products with logarithmic functions as basis functions. The implementation of this generalized power series method provides accurate solutions for these wave propagation problems. The method’s accuracy is confirmed through comparison with the Bessel function solution for plane strain surface waves in homogeneous solid cylinders. The investigation focuses on three FGM configurations: inhomogeneous mechanical damage, combined inhomogeneous mechanical damage with mass loss, and inhomogeneous mass deposition. Results show that the influence of gradient properties on the decrease in phase velocity is significant. Wave structure analysis shows that surface wave energy is concentrated mainly near the surface in solid cylinders. The analytical methodology and findings provide a theoretical foundation for ultrasonic non-destructive testing applications.</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

Generalized Power Series Solution for Circumferential Plane Strain Surface Waves in Functionally Graded Material Solid Cylinders

  • 期刊论文

  • 发表日期：

    2026年7月31日

查看全文
  • Xiaoshan Cao,
  • Junchao Shi,
  • Fangfang Wang

摘要

In this study, we propose a generalized power series method for solving coupled differential equations of motion for plane strain surface wave propagation in functionally graded materials (FGM) solid cylinders. Unlike conventional power series methods, this approach incorporates power index functions and their products with logarithmic functions as basis functions. The implementation of this generalized power series method provides accurate solutions for these wave propagation problems. The method’s accuracy is confirmed through comparison with the Bessel function solution for plane strain surface waves in homogeneous solid cylinders. The investigation focuses on three FGM configurations: inhomogeneous mechanical damage, combined inhomogeneous mechanical damage with mass loss, and inhomogeneous mass deposition. Results show that the influence of gradient properties on the decrease in phase velocity is significant. Wave structure analysis shows that surface wave energy is concentrated mainly near the surface in solid cylinders. The analytical methodology and findings provide a theoretical foundation for ultrasonic non-destructive testing applications.