In this article, classical plate theory (CPT) is reformulated using the nonlocal differential constitutive relations of Eringen to develop an equivalent continuum model for orthotropic triangular nanoplates. The equations of motion are derived and the Galerkin’s approach in conjunction with the area coordinates is used as a basis for the solution. Nonlocal theories are employed to bring out the...

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...

The preparation of orthotropic polymeric composite is described. Method based on curing the epoxy resin with nickel carbonyl nanoparticles (the content up to 35 vol.%) directly in magnetic field B ≈ 0.2 T. noticeable anisotropy elastic properties proved by measurements Yung's modulus disk and plate-shaped samples.