In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) for geometrically nonlinear analysis of laminated composite plates. The HSDT allows us to approximate displacement field that ensures by itself the realistic shear strain energy part without shear correction factors. IGA utilizing basis functions name...

The unsteady two-dimensional flow of a viscoelastic second-grade fluid impinging on an infinite plate is considered. The plate is making harmonic oscillations in its own plane. A finite difference technique is employed and solutions for small and large frequencies of the oscillations are obtained. 1. Introduction. In the past two decades, the importance of non-Newtonian viscoelastic liquids hav...

A compressed elastic film on a compliant substrate can form wrinkles. On an elastic substrate, equilibrium and energetics set the critical condition and select the wrinkle wavelength and amplitude. On a viscous substrate, wrinkle grows over time and the kinetics selects the fastest growing wavelength. More generally, on a viscoelastic substrate, both energetics and kinetics play important roles...

An extension of the well-known Neville–Aitken's algorithm for interpolation on Grassmann manifold G m ( ? n ) in framework parametric model order reduction is presented. Interpolation points are subspaces spanned by bases obtained Proper Orthogonal Decomposition available solutions associated with chosen parameter sampling. The performed recursively via geodesic barycenter two points. Three CFD...

dz d2Z On the plate, —= —2(1 — x) and u is zero and so from (1), —is infinite. This ox dyf/2 unpleasant singularity on the plate caused Görtier [1] to abandon finite difference methods of solution of the von Mises equation and it looked as if the comparative simplicity of ( 1 ) could never be utilized from the point of view of numerical solution. Thomson and the present author [2], however, sho...