Elasticity solution for static analysis of functionally graded carbon nanotube-reinforced composite beams using state space method (SSM)

Based on three-dimensional theory of elasticity, bending analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) beam subjected to mechanical load with simply supported boundary conditions is carried out. By using differential equilibrium equations and constitutive relations, state-space differential equation can be derived. The material properties of functionally graded carbon nanotube-reinforced composites are assumed to be graded through the thickness direction according to linear distributions of the volume fraction of carbon nanotubes. Detailed parametric studies have been carried out to reveal the influences of the load valuesload values load values load valuesload values load values on the static behaviorthe static behavior the static behaviorthe static behavior the static behaviorthe static behavior the static behavior the static behavior the static behaviorthe static behavior of beams. An accuracy of the present solutions is validated numerically by comparisons with some available results in the literature.