Sharif Digital Repository

It is well known that the classical continuum theory does not consider size effect in predicting material’s behavior, however at the micro and nano scales, this effect is not negligible and the classical theory has deficiencies at these scales. To take into account the size effect, higher order continuum theories introduce new material constants into the formulation. One famous version of these theories is couple stress which is applied in this research. This theory considers size effect of inhomogeneity by employing Characteristic length of materials. Quasi-static couple stress and classical dynamic approaches do not include explicitly the size of the material unit cell in the formulation... 

As technology scales down Integrated Circuits operates at higher frequency and lower dimensions. Interconnects inside these chips operate at gigahertz frequencies and manometer range. As mean free path of electrons become comparable with wire dimensions and skin depth, first one will result in Size Effect and second one will result in Anomalous Skin Effect. In this thesis we are trying to characterize these effects. The MFP of electron for copper at room temperature is about 38nm and therefore neither Size effect nor ASE are measurable at room temperature with our available equipment. Hence, the idea is to measure ASE for copper wires at liquid nitrogen temperature (77K). We showed that ASE... 

In this project, the equilibrium structure of clamped-free silicon nano-beams is investigated using molecular dynamics (MD) simulations. Four main interatomic potentials for silicon nanostructures, i.e. Tersoff, MEAM, Stillinger-Weber and EDIP, are implemented in the current study. Using aforementioned potentials, the structural stability of Si nano-beams are studied and effects of thickness, width, length, size, lattice direction, facets of cross section, and temperature on the equilibrium structure of nano-beams are investigated. The conducted simulations demonstrate that equilibrium structure of nano-beam is completely dependent on the type of atomic potential used for modeling.... 

The present study deals with the analysis of Atomic Microscope with crack by making use of Strain Gradient Elasticity theory. Empirical observations represent that in micro dimensions, materials show behaviors, which the classic continuum mechanics theories are not able to explain. Thus, taking advantage of non-classic theories, which are capable of explaining such phenomena or behaviors in analyzing materials in micro dimensions seems necessary and of much significance. In this direction, by applying an Euler-Bernoulli beam assumption and neglecting the shear effects, governing equations and boundary conditions of the problem were obtained via taking advantage of variations in Hamilton... 

In recent years, the world has seen a great progress in micro electro-mechanical systems (MEMS). Small size, low weight, high accuracy and low energy consumption have made these devices applicable in a variety of usages. In MEMS devices, mechanical components are used for specific purposes among which one of the most widely used are micro plates. Microplates are used in the structure of many devices such as microswitchs and atomic force microscopes. Therefore, studying of static and dynamic behavior of microplates is important. As the object gets smaller (to the scale of micro and nano meters), the classic theory of mechanics of continuous media cannot predict the behavior due to its... 

Concrete is one of the most widely used building materials. Compressive strength of concrete is the most important property in designing reinforced concrete structures. Compressive strength test should be carried out on specimens with standard dimensions. In practice, dimensions of structural elements could be different from the dimensions of standard specimen. The dimensions’ ratio influences the strength of concrete specimen and the coefficient of strength variation. In the present study it is tried to obtain a meaningful relationship between size and strength based on the results of the tests on the specimens with different dimension ratios. Specimens examined in this study are C25 grade... 

Conformal Field Theory provides an efficient method for studying physical problems in critical point. Correlation length becomes converge in this point. It can also be clarified that some curves are observed in geometrical phase transition which are conformal invariant and they can be studied using SLE(k). The first mathematical generalization of SLE(k) while keeping the self-similarity property, leads to SLE(k,p). Conformal field theory and SLE are interrelated and their parameters are interpretable for each other. One usually studies the problem in the upper-half plane. Here we consider the problem using a map like (w=L/π Ln z) between the upper-half plane and a special region (e.g. a... 

Self-Compacting Concrete (SCC), a new generation of concrete that are used in different applications. This concrete is compressed without external energy, under its own weight. This study investigating the fracture properties of self-compacting concrete containing steel fibers. For this purpose, steel fibers with different percentages are added to SCC. Also samples with different water to cement ratio and different maximum aggregate size were made and their impact on the fracture parameters of self-compacting concrete containing steel fibers were investigated. In order to achieve the desired objectives in this study, two different methods are used according to RILEM standards which include...