Theories and Analysis of Functionally Graded Beams
J. N. Reddy, Eugenio Ruocco, J.A. Loya, A.M.A. Neves
Abstract
This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple stress (i.e., strain gradient), and the von Kármán nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads.
Topics & Concepts
Boundary value problemShear (geology)Materials scienceNonlinear systemMathematicsMathematical analysisGeometryClassical mechanicsPhysicsComposite materialQuantum mechanicsNonlocal and gradient elasticity in micro/nano structuresComposite Structure Analysis and OptimizationStructural Analysis and Optimization