In this paper, the flexural free vibrations of three dimensional micro beams are investigated based on strain gradient theory. The most general form of the strain gradient theory which contains five higher-order material constants has been applied to the micro beam to take the small-scale effects into account. Having considered the Euler-Bernoulli beam model, governing equations of motion are w...

this study deals with the applications of a trigonometric shear deformation theory considering the effect of the transverse shear deformation on the static flexural analysis of the soft core sandwich beams. the theory gives realistic variation of the transverse shear stress through the thickness, and satisfies the transverse shear stress free conditions at the top and bottom surfaces of the bea...

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...

In this paper, the mechanical behavior of three-phase inhomogeneous materials is modeled using the meso-scale model with lattice beams for static and dynamic analyses. The Timoshenko beam theory is applied instead of the classical Euler-Bernoulli beam theory and the mechanical properties of lattice beam connection are derived based on the continuum medium using the non-local continuum theory. T...

A set of software tools based on Pierce theory and the Cutler-Hines approach for thermal velocity effects have been developed for the design of sheet-beam electron guns. The tools yield parameters for rudimentary gun geometry, which are further refined using the 2-D particle-in-cell code EGUN. Candidate designs for guns suitable for applications to high-power, high-frequency microwave sources h...

Nanostructures have gained increasing interest in materials science due to their special mechanical, electrical and optical behavior. The correlation between these extraordinary properties and the morphology and crystal structure can be analyzed by combining numerous electron-optical techniques. The present contribution demonstrates the successful application to semiconductor quantum dots. TEM ...

Highly efficient materials and structures are becoming increasingly common in military, aeronautical, aerospace, mechanical, civil engineering applications. Composite have been developed to address the need combine two or more achieve superior properties. Many structural elements, such as laminated beams, use composite materials, but an accurate mathematical model of bending behavior is require...