In this paper a three-dimensional finite element (FE) model of carbon nanocones (CNCs) is proposed and used for obtaining Young\'s modulus of CNCs. In this model, stretching and bending forces between carbon atoms are simulated using truss elements in ANSYS software. Then the model is subjected to the tension and by obtaining the stiffness of the CNC and using elasticity theory, Young’s modulus...

Polymer-clay nano-composite materials, in which nano-meter thick layers of clay dispersed in polymer matrix, have generally higher mechanical properties than normal polymeric materials. A new three-dimensional unit cell model has been developed for modeling three constituent phases including inclusion, interphase and matrix. The total elastic modulus of nano-composite is evaluated.  Numerical r...

In 1811, Legendre published an identity between integrals involving the constant k:= sin ⁡π12 that inspired Abel to create his brilliant theory of complex multiplication. Then k reappeared as eccentricity ellipse whose arclength Ramanujan computed explicitly in terms gamma functions with rational arguments. Finally, appeared a consequence three-body choreography along Bernoulli’s lemniscate. We...

soil is a nonrenewable source that needs considerable management to prevent physical deteriorationby erosion and compaction. compacted soil causes low fertility and yield. the purpose of this study isto investigate the effect of viscoelastic properties of soil and to determine important factors oncompaction. furthermore, stress distribution, prediction of soil compaction and simulation of its e...

the most important quality indicator of fruits is the flesh firmness which is well correlated to their young’s modulus. in this research variation of vibration characteristics (shape modes, natural frequency) of apple due to change of material characteristics (density, young's models, poisson ratio) and apple volume was investigated using finite element simulation. an image processing technique...

Fix integers b ≥ 2 and k ≥ 1. Define the sequence {zn} recursively by taking z0 to be any integer, and for n ≥ 1, take zn to be the least nonnegative residue of bzn−1 modulo (n + k). Since the modulus increases by 1 when stepping from one term to the next, such a definition will be called a running modulus recursion or rumor for short. While the terms of such sequences appear to bounce around i...

The main purpose of this research is to evaluate the mechanical characteristics and biocompatibility two novel titanium alloys, Ti15Mo7ZrxSi (x = 0, 0.5, 0.75, 1). These samples had already undergone grinding, polishing, cutting, chipping. Electrochemical, metallographic, three-point bending, microhardness studies were conducted on studied materials determine their corrosion behavior, microstru...

Interactions between the cell and the extracellular matrix regulate a variety of cellular properties and functions, including cellular rheology. In the present study of cellular adhesion, area was controlled by confining NIH 3T3 fibroblast cells to circular micropatterned islands of defined size. The shear moduli of cells adhering to islands of well defined geometry, as measured by magnetic mic...