In this paper, we show how surface-micromachined buckled cantilevers can be used to construct out-of-plane structures. We include the relevant theory necessary to predict the height and angle of plates attached to buckled cantilevers, as well as the mechanical stresses involved in assembly. These platforms can be assembled to any angle between 0◦ and 90◦ with respect to the substrate by changin...

The present work derives the exact analytical solutions for buckling and post-buckling analysis of nano-composite beams reinforced by single-walled carbon nanotubes (SWCNTs) based on the Euler-Bernoulli beam theory and principle of virtual work. The reinforcements are considered to be aligned in the polymeric matrix either unifor...

It is well known that, in contrast to general relativity, there are two conformally related frames, the Jordan frame and the Einstein frame, in which the Brans-Dicke theory, a prototype of generic scalar-tensor theory, can be formulated. There is a long standing debate on the physical equivalence of the formulations in these two different frames. It is shown here that gravitational deflection o...

The Moliere theory of multiple Coulomb scattering is modified to take into account the difference between processes of scattering off atomic nuclei and electrons. A simple analytical expression for angular distribution of charged particles passing through a thick absorber is found. It does not assume any special form for a differential scattering cross section and has a wider range of applicabi...

In a new theory gravity called the dynamic theory, which is derived from thermodymical principles in a five dimensional space, the deflection of a light signal is calculated and compared to that of general relativity. This is achieved by using the dynamic gravity line element which is the usual four dimesional space-time element of Newtonian gravity modified by a negative inverse radial exponet...

In Einstein-Æther theory, the Lorentz symmetry is locally broken in high-energy regime due to presence of Æther field. This shall leave significant imprint on astronomical observation. this paper, we investigate optical appearance two types static and spherically symmetric black holes theory. Via Euler-Lagrange equation, obtain equations motion photon calculate total deflection angle trajectory...

Cryogenic cluster beam experiments have provided crucial insights into the evolution of the metallic state from the atom to the bulk. Surprisingly, one of the most fundamental metallic properties, the ability of a metal to efficiently screen electric fields, is still poorly understood in small clusters. Theory has predicted that many small Na clusters are unable to screen charge inhomogeneities...