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An Introduction to Rigid Analytic Geometry
, M.Sc. Thesis Sharif University of Technology ; Rastegar, Arash (Supervisor)
Abstract
Rigid analytic geometry was developed by John Tate in 1971. Although it seems that a rigid analytic spaces on non-Archimedean field F, is like something called F-analytic manifold; however in general these two are distinct concepts.
In this thesis; we introduce rigid analytic spaces. It begins in chapter one by non-Archimedean fields. In this chapter also contains theorem 1-3-7; which there is no proof for it without usage of methods of this chapter; up to the present. Topics discussed in this chapter are interesting subjects of other applica¬tions of non-Archimedean fields. There is a visualization of the field Q_p; and an appendix includes some definitions and consequences of ordered...
In this thesis; we introduce rigid analytic spaces. It begins in chapter one by non-Archimedean fields. In this chapter also contains theorem 1-3-7; which there is no proof for it without usage of methods of this chapter; up to the present. Topics discussed in this chapter are interesting subjects of other applica¬tions of non-Archimedean fields. There is a visualization of the field Q_p; and an appendix includes some definitions and consequences of ordered...
An Investigation of the Effects of Zipper Strut on the Cost and Energy Dissipation Capacity of Concentrically & Eccentrically Chevron Braced Systems
, M.Sc. Thesis Sharif University of Technology ; Ahmadizadeh, Mehdi (Supervisor)
Abstract
Concentric and eccentric chevron braces are among the more economical lateral force resisting systems for structures. However, chevron braced systems are prone to concentration of damage in a single story and formation of soft stories when buckling occurs in the bracing elements. This leads to a gradual loss in the structural performance, particularly as the height of the structure increases. One of the most notable methods to alleviate this problem and improve the structural performance is the addition of zipper struts to concentrically chevron braced frames that are known to improve the distribution of plastic energy dissipation along the height of the structure. While this usually...
Simulation of Mass Transfer in Cartilage Regeneration
, M.Sc. Thesis Sharif University of Technology ; Abd Khodaei, Mohammad Jafar (Supervisor)
Abstract
The in vivo cell culture process as the main part of tissue engineering was investigated through mathematical modelling and computational fluid dynamic (CFD) simulation of cartilage cell growth. Simulations can provideprocess insights for defining the optimum conditions in order to reach higher culture efficiency. In the mathematical modelling of the cell growth, it was intended to consider the most influencing factors such as biomass concentration, volume fraction, glucose concentration and shear stress levels. These results can be obtained mathematically by solving a set of partial differential equations coupling the glucose concentration, the velocity field and cell growth with each other....
A thermodynamically-consistent large deformation theory coupling photochemical reaction and electrochemistry for light-responsive gels
, Article Journal of the Mechanics and Physics of Solids ; Volume 116 , July , 2018 , Pages 239-266 ; 00225096 (ISSN) ; Zhang, H ; Naghdabadi, R ; Hu, Y ; Sharif University of Technology
Elsevier Ltd
2018
Abstract
Gels are composed of crosslinked polymer network and solvent molecules. When the main chain network is incorporated with functional groups that can undergo photo-chemical reaction upon light irradiation, the gel becomes light-responsive. Under irradiation, the photosensitive groups may undergo photo-ionization process and generate charges that are attached to the main chain or diffuse into the solvent. The newly generated ions disturb the osmotic balance of the gel medium. As a result, water molecules and mobile ions are driven into or out of the network to compensate the osmotic imbalance, which eventually leads to macroscopic swelling or shrinking of the gel. In this work, we develop a...
The role of first non-singular stress terms in mixed mode brittle fracture of V-notched components: an experimental study
, Article Fatigue and Fracture of Engineering Materials and Structures ; Volume 40, Issue 4 , 2017 , Pages 623-641 ; 8756758X (ISSN) ; Saeidi Googarchin, H ; Aliha, M. R. M ; Sharif University of Technology
Blackwell Publishing Ltd
2017
Abstract
This paper investigates the effects of the first non-singular stress terms on the fracture assessment of sharp V-notches under mixed mode loading. First, numerical studies have been performed on a fracture test configuration called single V-notched ring (SVR) specimen. Then, the notch stress intensity factors as well as the coefficients of the first non-singular stress terms, which are vital parameters in brittle fracture of V-notched components, were calculated via a finite element over-deterministic algorithm for a wide range of loading and geometry conditions. The obtained results demonstrate that the SVR specimen is able to provide a complete range of mode mixities from pure mode I to...
A thermodynamically consistent electro-chemo-mechanical theory for modeling axonal swelling
, Article Journal of the Mechanics and Physics of Solids ; Volume 145 , 2020 ; Naghdabadi, R ; Sohrabpour, S ; Li, Y ; Hu, Y ; Sharif University of Technology
Elsevier Ltd
2020
Abstract
In the present study, for the first time, a thermodynamically consistent large deformation theory is developed to model the multi physics problem of axonal swelling which is the hallmark of most of the brain diseases. To this end, the relevant axonal compartments are first explained and the corresponding model parts are introduced. Next, the problem is formulated as an open thermodynamic system and the corresponding constitutive and evolution equations are extracted utilizing the balance laws. Here, a multiplicative decomposition of the deformation gradient is used to capture the active behavior of the axonal actin cortex. Specific free energy functions are given for the model parts to...
Hearing Phenomena Identification, Design and Modeling of Rehabilitation Mechanism for Hearing Impaired People
, M.Sc. Thesis Sharif University of Technology ; Sayady, Hassan (Supervisor) ; Hoviat Talab, Maryam (Supervisor)
Abstract
The research methods presented in this dissertation are the result of the confrontation between medical science and engineering science. This contrast is intended to better understand the function of the middle ear system and the inner ear cochlea through modeling and finite element analysis and the effect of hearing aid use on the middle ear and cochlear function.The research began with the creation of a three-dimensional model of the middle ear using microCT imaging. Then the finite element model of the middle human ear was implemented using the same three-dimensional model. The results of the finite element model resulting from the loading on eardurm were calculated as displacement of...
Constitutive Modeling and Numerical Simulation of Axonal Swelling at Large Deformation and Its Effects on Action Potential Propagation
, Ph.D. Dissertation Sharif University of Technology ; Naghdabadi, Reza (Supervisor) ; Sohrabpour, Saeed (Supervisor)
Abstract
Brain diseases like Parkinson’s, ischemia and trauma are among major causes of death worldwide. Axonal swelling is the hallmark of most of these diseases. It is frequently observed that the axonal swelling will not remain homogeneous and shape transformations like forming multiple beads along the axon (or beading) may happen. These focal large swellings can alter or even block the passing action potentials along the axon and hence may have serious cognitive consequences. This research deals with theoretical and numerical modeling of axonal swellings. The proposed model has two parts: the central axoplasm and the surrounding cortical membrane. Instable large deformations, water diffusion,...