Sharif Digital Repository

Within the surface/interface elasticity, two following problem are solved: First the elastic behavior of an edge dislocation located inside the core of a core-shell nanowire which is embedded in an infinite matrix is studied within the surface/interface elasticity theory. The corresponding boundary value problem is solved exactly by using complex potential functions. The stress field of the dislocation, image force acting on the dislocation, and the dislocation strain energy is calculated by considering the interface effect. Second, the surface/interface elasticity approach is applied to the case of a misfit core-shell nanowire system in which the misfit strain is adjusted through the... 

The broad range of applicability of nano devices particularly in electronics, optoelectronics, and micro/ nano-electro- mechanical systems has drawn the attentions of the industrial and scientific communities of various disciplines. This work is devoted to study the effect of surface and interface elasticity in the analysis of the mechanical behavior of ultra-thin objects in the presence of some statical or dynamical loadings. Based on the fact that the surface-volume ratio increases in nano-scale, description of the behavior of such a small structure via usual classical theories, which generally neglect the surface/interface effect, ceases to hold. In the present study, first, a... 

In this thesis, concerning Eigenstrain Theory, the micromechanical formulation of dental implants has been derived for the first time in the fields of Mechanics and Medical Science. The proliferation of using dental implants as a prosthesis for the people who lost their teeth because of poor maintenance and smoking cigarette results in scientists think more about the design of these implants and their stress fields inside the mandible. It is crystal clear that these stress fields cause stress shielding, which is a phenomenon that brings about bone loss or decrement in the bone density. Hence, if we know the stress that is produced by the implants inside the mandible, we can optimize the... 

The primary objective of this fundamental research is to examine the nonlinear spherically symmetric wave propagation and the dynamic response of a sphere with an inclusion region having symmetrically distributed eigenstrain. The sphere is assumed to be composed of a specific compressible nonlinear elastic material whose behavior is described by the practical Blatz-Ko model. To achieve this, the study is divided into two main parts. In the first part, the governing dynamic equilibrium equations are derived using established methods in nonlinear elasticity theory. This approach begins by transforming the initial configuration into a manifold with Riemannian geometry, referred to as the...