J. N. Reddy

TL;DR: In this paper, a moving least squares differential quadrature (MLSDQ) method is employed for the analysis of moderately thick plates based on the first-order shear deformation theory (FSDT).

TL;DR: In this article, a special three-dimensional element based on the total Lagrangian description of the motion of a layered anisotropic composite medium is developed, validated and employed to analyze laminated composite shells, which contains geometric nonlinearity, dynamic (transient) behavior and arbitrary lamination scheme and lamina properties.

TL;DR: In this article, the governing equations of the Euler-Bernoulli and Timoshenko beams are derived using the principle of virtual displacements, wherein the Eringen nonlocal differential model and modified von Karman nonlinear strains are taken into account.

TL;DR: In this paper, a finite element model of microstructure-dependent geometrically nonlinear theories for axisymmetric bending of circular plates, which accounts for through-thickness power-law variation of a two-constituent material, the von Karman nonlinearity, and the strain gradient effects are developed for the classical and first-order plate theories.

TL;DR: In this paper, the exact relationship between the deflections, slopes/rotations, shear forces and bending moments of a third-order beam theory, and those of the Euler-Bernoulli theory and the Timoshenko beam theory are developed.