A theoretical analysis of the buckling mono-axially compressed rectangular grid is carried out. The composed two orthogonal orders continuous beams, simply supported at ends. critical load determined by different models: (i) Kirchhoff’s homogeneous orthotropic plate, and (ii) a system solved Rayleigh-Ritz method. Parametric studies are out numerical examples developed. analytical solutions vali...

The problem of the out of plane buckling of polar orthotropic armuli under uniform internal or external pressure loading has been investigated with the assumption of axisymmetry by numerous researchers. In this paper, the buckling of polar and rectilinearly orthotropic annuli subjected to internal or external pressure loading is examined without restriction to axisymmetric buckling modes. The b...

A numerical study is presented to show the potential for using vibroacoustic-based experiments to identify elastic material properties of orthotropic cylindrical vessels immersed in fluids. Sensitivity analyses and a simulated inverse problem are shown to quantify the potential for material characterization through the use of acoustic emissions. For comparison purposes, the analyses are also sh...

We consider elastic waves in materials with cylindrical orthotropy, this being a plausible model for wood. For time-harmonic motions, the problem is reduced to some coupled ordinary differential equations. Previously, these have been solved using the method of Frobenius (power-series expansions). We use Neumann series (expansions in Bessel functions of various orders), motivated by the known cl...

The purpose of this research is to study the wave propagation in orthotropic generalized thermoelastic half-space with voids under initial stress. It is found that, for two dimensional model of orthotropic generalized thermoelastic material with voids under initial stress, there exists three quasi-longitudinal waves namely, quasi-longitudinal wave (QP-mode), quasi-longitudinal thermal wave (QPT...

In this paper, the optimal bead orientation problem of 3D shell/plate structures is investigated for both static and dynamic cases. Using a bending equivalent orthotropic shell design cell model, the optimal bead orientation problem is converted to an optimal orientation problem of bending equivalent orthotropic materials, and it is solved by a new energy based method. In the energy based metho...

A phenomenological theory is presented for describing the anisotropic plastic flow of orthotropic polycrystalline aluminum sheet metals under plane stress. The theory uses a stress exponent, a rate-dependent effective flow strength function, and five anisotropic material functions to specify a flowpotential, an associated flow rule of plastic strain rates, a flow rule of plastic spin, and an ev...

Abstract This paper deals with the Saint-Venant torsion of elastic, cylindrically orthotropic bar whose cross section is a sector circular ring shaped bar. The homogeneous elastic wedge-shaped strengthened by on its curved boundary surfaces thin isotropic shells. An analytical method presented to obtain Prandtl’s stress function, torsional rigidity and shearing stresses. A numerical example ill...