Combined effect of carbon nanotubes distribution and orientation on functionally graded nanocomposite beams using finite element analysis

Abstract

Structural tailoring can provide a promising performance for Functionally Graded (FG) components in engineering. Moreover, utilizing advanced Carbon Nanotube (CNT) as embedded reinforcement in nanocomposite structures, excellent mechanical properties can be tailored and designed to meet requirements. This research addressed the issue of a particular effect for CNT orientation and gradation distribution on static and free vibration analysis of Functionally Graded CNT-Reinforced Composite (FG-CNTRC) beams. First, an efficient finite beam element capable of controlling both parameters was derived based on the Timoshenko beam theory. Single-Walled CNT (SWCNT) was used as primary reinforcement and graded through-thickness. Then, an extensive parametric study was done for model convergence, static, and dynamic analysis. The proposed model offers unique shape function depends on material properties and cross-section geometry, high-accuracy, and expanded to cover both orientations and grading exponents. This expansion allows passive-control of the beam stiffness and strength without any increment in structural weight. Wherein constituent materials quantities and volume fractions were not changed. Finally, obtained findings concerned about orientation angle and power-law exponent, which showed that they significantly affect the structural response, and therefore offer a practical approach of structure tailoring for applied loads, required response, and specific weight limitations.