A novel refined arctangent exponential shear deformation theory (RAESDT) is presented for analysis the mechanical behavior of both isotropic and sandwich FGM plates. Material properties are set to be at each point varied across thickness direction obeying a power-law distribution volume fraction gradation with respect core or skins plate. Unlike high-order plate theories based on five more vari...

This paper presents finite elements for a higher order steel–concrete composite beam model developed the analysis of bridge decks. The accounts slab–girder partial interaction, overall shear deformability, and shear-lag phenomenon in steel concrete components. theoretical derivation solving balance conditions, both weak strong form, is firstly addressed. Then, three different are proposed, whic...

The two major approaches to understanding plane parallel shear instability—the counterpropagating Rossby wave (CRW) and overreflection (OR) approaches—illuminate very different fundamental aspects. This work examines how such seemingly different views can explain the same phenomena and why these differences arise, with the overall goal of deepening our understanding of shear instability. This i...

In this work we investigate numerically the dynamics of sheared suspensions in the limit of vanishingly small fluid and particle inertia. The numerical model we used is able to handle the multi-body hydrodynamic interactions between thousands of particles embedded in a linear shear flow. The presence of the particles is modelled by momentum source terms spread out on a spherical envelop forcing...

We consider a three layer Rao-Nakra sandwich beam with damping proportional to shear included in the core layer. We prove that eigenvectors of the beam form a Riesz basis for the natural energy space. In the damped case, we are able to give precise conditions under which solutions decay at a uniform exponential rate. We also consider the problem of boundary control using bending moment and late...

A subcritical transition to turbulence in magnetized Keplerian shear flows is investigated by using a statistical approach. Three-dimensional numerical simulations of the shearing box equations with zero net magnetic flux are employed to determine the transition from decaying to sustained turbulence as a function of the magnetic Reynolds number R{m}. The results reveal no clear transition to su...

Recent experiments show the thermal growth of dislocation lines in unltapure bcc He. The activation energy for the growth of the dislocation lines is found to agree with the activation energy of mass diffusion. We propose that these dislocations are topological defects in the phase of the complex order-parameter which describes the dynamic zero-point atomic correlations, unique to the bcc phase...

The free-space Green function for a two-dimensional exponentially graded elastic medium is derived. The shear modulus μ is assumed to be an exponential function of the Cartesian coordinates (x, y), i.e. μ ≡ μ(x, y) = μ0e12, where μ0, β1, and β2 are material constants, and the Poisson ratio is assumed constant. The Green function is shown to consist of a singular part, involving modified Bessel ...

The Eulerian mapping closure approach is developed for uncertainty propagation in computational uid mechanics. The approach is used to study the Probability Density Function (PDF) for the concentration of species advected by a random shear ow. An analytical argument shows that uctuation of the concentration eld at one point in space is non-Gaussian and exhibits stretched exponential form. An Eu...