Scholarlink

<p>The static, buckling, and free vibration characteristics of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam were determined using trigonometric shear deformation theory. The theory used in this study generates a nonlinear distribution of transverse shear stresses, which relies on the shear strain shape function. This theory satisfies the traction-free boundary conditions at the top and bottom surfaces of the beam, therefore no shear correction factor is required. Hamilton’s principle was used to derive the governing differential equations and boundary conditions, while Navier’s solution technique provides the closed-form solution. The rule of mixture determines the material properties of FG-CNTRC beams with four CNT distribution patterns: UD-beam, FG-O, FG-X, and FG-V. The deformation, stresses, critical buckling load, and frequencies were evaluated using an analytical approach concerning various span thickness ratios, CNT Volume fraction, and CNT distribution. The results demonstrate the theory superiority over previous models, offering new reference data for future research.</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

A Non-polynomial Shear Deformation Theory for the Structural Responses of Functionally Graded CNT-reinforced Composite Beams

  • 期刊论文

  • 发表日期：

    2026年7月16日

查看全文
  • Abhijeet Babasaheb Babar,
  • Rosalin Sahoo

摘要

The static, buckling, and free vibration characteristics of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam were determined using trigonometric shear deformation theory. The theory used in this study generates a nonlinear distribution of transverse shear stresses, which relies on the shear strain shape function. This theory satisfies the traction-free boundary conditions at the top and bottom surfaces of the beam, therefore no shear correction factor is required. Hamilton’s principle was used to derive the governing differential equations and boundary conditions, while Navier’s solution technique provides the closed-form solution. The rule of mixture determines the material properties of FG-CNTRC beams with four CNT distribution patterns: UD-beam, FG-O, FG-X, and FG-V. The deformation, stresses, critical buckling load, and frequencies were evaluated using an analytical approach concerning various span thickness ratios, CNT Volume fraction, and CNT distribution. The results demonstrate the theory superiority over previous models, offering new reference data for future research.