Deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. Effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. The governing differential equations and c...

This paper studies free vibration of simply supported functionally graded beams with piezoelectric layers subjected to axial compressive loads. The Young's modulus of beam is assumed to be graded continuously across the beam thickness. Applying the Hamilton’s principle, the governing equation is established. Resulting equation is solved using the Euler’s Equation. The effects of the constituent...

We present a mathematical analysis of the finite-energy Airy beam with a sharply truncated spectrum, which can be generated by a uniformly illuminated, finite-sized spatial light modulator, or windowed cubic phase mask. The resulting "incomplete Airy beam" is tractable mathematically, and differs from an infinite-energy Airy beam by an additional oscillating modulation and the decay of its frin...

The main focus of this paper is on efficiency analysis of two kinds of approximating functions (characteristic orthogonal polynomials and characteristic beam functions) that have been applied in the Rayleigh-Ritz method to determine the non-dimensional buckling and frequency parameters of an angle ply symmetric laminated composite plate with fully elastic boundaries. It has been observed that o...

Nickel films of 300 nm thickness were deposited by electron beam evaporation at room temperature on 316 stainless steels. Corrosion studies of Ni coated 316 SS have been performed after N+ ion implantation at different energies of 20, 40, 60 and 80 keV. The structure and surface morphology of the films were evaluated using X-ray diffraction (XRD), atomic force microscope (AFM) an...

In this paper, a comparison of weak-form Galerkin and least-squares finite element models of Timoshenko beam theory with the von Kármán strains is presented. Computational characteristics of the two models and the influence of the polynomial orders used on the relative accuracies of the two models are discussed. The degree of approximation functions used varied from linear to the 5th order. In ...

Electron diffraction from a perfect single crystal shows the influence of many-beam interaction. Investigations with a single crystal wedge allow a direct analysis of the Bloch-waves which are displayed into their partial waves. The strength of the dynamical interactions in a MgO crystal wedge was investigated by comparing the photographic record of a section through the dispersion surface with...

We investigate laser ablation of crystalline silicon induced by a femtosecond optical vortex beam, addressing how beam properties can be obtained by analyzing the ablation crater. The morphology of the surface structures formed in the annular crater surface allows direct visualization of the beam polarization, while analysis of the crater size provides beam spot parameters. We also determine th...

An analysis was carried out to determine whether concrete is a sustainable housing material. Sustainability generally means having no net negative impact on the environment, and this analysis compared the environmental impact of producing concrete and steel. To make this comparison, we first designed a simple reinforced concrete beam and a steel I-beam with the same moment capacity, and we then...