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    Effects of elastic contributions on the evolution of nano-structure Al3Sc phase: A phase-field study

    , Article Scientia Iranica ; Volume 23, Issue 3 , 2016 , Pages 1539-1547 ; 10263098 (ISSN) Ebrahimi, Z ; Ebrahimi, H ; Sharif University of Technology
    Sharif University of Technology  2016
    Abstract
    A micromechanical phase-field model is utilized to study the evolution of nanostructure Al3Sc phase in Al-Sc alloy. We study the formation of Al3Sc precipitates in an Al-Sc alloy by using an elastic phase-field model. Since the precipitates of Al3Sc phase are fully coherent with the Al matrix, the elastic energy will have an inuence on the resulting morphology. We have studied the effects of elastic strain energies on shape evolution of Al3Sc phase, numerically. The simulated nano-structures evolve from spherical to cubic shapes. The equilibrium shape of the coherent Al3Sc phase is found to be determined by minimizing the sum of the elastic and interfacial energies through the phase-field... 

    Unconditionally energy stable time stepping scheme for Cahn-Morral equation: Application to multi-component spinodal decomposition and optimal space tiling

    , Article Journal of Computational Physics ; Volume 304 , 2016 , Pages 441-464 ; 00219991 (ISSN) Tavakoli, R ; Sharif University of Technology
    Academic Press Inc 
    Abstract
    An unconditionally energy stable time stepping scheme is introduced to solve Cahn-Morral-like equations in the present study. It is constructed based on the combination of David Eyre's time stepping scheme and Schur complement approach. Although the presented method is general and independent of the choice of homogeneous free energy density function term, logarithmic and polynomial energy functions are specifically considered in this paper. The method is applied to study the spinodal decomposition in multi-component systems and optimal space tiling problems. A penalization strategy is developed, in the case of later problem, to avoid trivial solutions. Extensive numerical experiments... 

    Phase Field Simulation of Microstructure Ternary Eutectic Solidification

    , M.Sc. Thesis Sharif University of Technology Dalvand, Mehdi (Author) ; Tavakoli, Rouhollah (Supervisor)
    Abstract
    Physical and mechanical properties of cast alloys is partly a function of the morphology and volume fraction of phases from freezing. The microstructure of the eutectic solidification is function of physical properties (especially mobility and surface tension) and the volume fraction of phases involved in the evolution. The prediction of solidification microstructures will be very helpful for improving the mechanical properties of casting alloys and designing of new families of alloys. The theoretical study of the formation of eutectic microstructures is very difficult and almost impossible in general cases and empirical studies are expensive. The purpose of this study is to predict the... 

    Simulation of Coarsening in Tin/Lead Solders by Using Phase Field Method

    , M.Sc. Thesis Sharif University of Technology Tavakoli, Mohammad Mahdi (Author) ; Davami, Parviz (Supervisor) ; Ashouri, Hossein (Supervisor)
    Abstract
    Soldering is one of the important methods in joining techniques which has wide applications in industries such as microelectronic. Today, the physical and mechanical properties of solder joints is very important because the dimensions of electronic devices are decreasing that cause to increasing of their current density. One of the important problems of high current density in solder joints is the microstructures of solders in microelectronic components, change over time that is weakened the properties of the solder alloy. This study presents a quantitative model , which is capable to simulation phase separation and coarsening phenomenon in Tin/Lead Solders. This model is based on continuum... 

    Optimal Design of Parting Line in the Shape Casting Processes

    , M.Sc. Thesis Sharif University of Technology Pourfathi, Ali (Author) ; Tavakkoli, Rouhollah (Supervisor)
    Abstract
    More than 70 weight percentage of using parts in diverse industries (such as military, civil, automobile productions and etc.) are produceed by the casting processes. For each one of the casting procceses, mold cavity is requisite for arrived molten metal in the mold cavity to get eventuated as a solidified part. Based on mold ilk, if the mold is permanent, the cast part must be capable to be remoeved from the the mold inside. For the non-permanent mold (asssuming multi-piece and non-monolithic), if the model requires to be removed from the mold inside after molding and before casting, only model (no cast part) has to be moldable (why for removing the solidified cast part from the... 

    Simulation of Nickel Electrodeposition

    , M.Sc. Thesis Sharif University of Technology Zargarnezhad, Hossein (Author) ; Dolati, Abolghasem (Supervisor)
    Abstract
    In this research project, Ni electrodeposition process has been modeled by a 3D coupled continuum-kinetic Monte Carlo simulation. Kinetic Monte Carlo module processes surface reactions along the substrate using electrochemical equations for the relating events. Continuum model also determines concentration of the whole system according to a 3D interpretation of diffusion law in solutions. After running each module, exchange of data between two codes is done and boundary conditions are updated. In fact, the whole simulation time is divided by small time steps relating to time fastest reactions need to proceed. Present model will generate three outputs: current-time curve, surface morphology... 

    Thermodynamically Consistent Phase Field Modeling of Interaction Between Crack Propagation and Phase Transformation

    , Ph.D. Dissertation Sharif University of Technology Jafarzadeh, Hossein (Author) ; Farrahi, Gholam Hossein (Supervisor) ; Javanbakht, Mahdi (Co-Supervisor)
    Abstract
    According to the widespread application of shape memory alloys, their study in the presence of cracks has received lots of attention in the last two decades. The phase transformation ahead of the crack tip may change the stress field and the fracture behavior, especially at the nanoscale. Thus, modeling this phenomenon helps to recognize the affecting factors on crack propagation and prediction of material behavior when cracks exist. In the first step of this thesis, a phase field approach for crack propagation was presented, first by considering fracture as phase transformation and then as bond breaking. According to the scaling-up strategy, the developed theory is applicable from the... 

    A Phase-Field Model for Inhomogeneous Multiferroic Materials

    , M.Sc. Thesis Sharif University of Technology Jafari, Bahram (Author) ; Tavakoli, Rouhollah (Supervisor)
    Abstract
    In this thesis, by deliberately embedding “emplacements” in the system to locally break the inversion and the time reversal symmetries, the manifold of all possible microstructures is navigated in pursuit of the one that can give rise to maximal magnetoelectric effect mediated by elastic energy of piezoelectric-piezomagnetic phases via their interface --- needless to mention the low intensity of such an effect in single-phase multiferroics. The configuration with the maximal coupling is sought within the context of phase-field modeling. In order to numerically track the conserved dissipative dynamics of the interface (namely, the Cahn-Hilliard equation) --- that is nonlocal by the nature of... 

    Phase field modeling of crack growth with double-well potential including surface effects

    , Article Continuum Mechanics and Thermodynamics ; 2019 ; 09351175 (ISSN) Jafarzadeh, H ; Farrahi, G. H ; Javanbakht, M ; Sharif University of Technology
    Springer New York LLC  2019
    Abstract
    A thermodynamically consistent phase field approach for fracture including surface stresses is presented. The surface stresses which are distributed inside a finite width layer at the crack surface are introduced as a result of employing some geometrical nonlinearities, i.e., by defining energy terms per unit volume at the current time and evaluating gradient of the order parameter in the current configuration. A double-well barrier term is included in the structure of the Helmholtz free energy which allows one to use the energy terms per unit volume at the current time when introducing the surface stresses in the current approach. Thus, the surface stresses are introduced in a similar way... 

    Phase field modeling of crack growth with double-well potential including surface effects

    , Article Continuum Mechanics and Thermodynamics ; 2019 ; 09351175 (ISSN) Jafarzadeh, H ; Farrahi, G. H ; Javanbakht, M ; Sharif University of Technology
    Springer New York LLC  2019
    Abstract
    A thermodynamically consistent phase field approach for fracture including surface stresses is presented. The surface stresses which are distributed inside a finite width layer at the crack surface are introduced as a result of employing some geometrical nonlinearities, i.e., by defining energy terms per unit volume at the current time and evaluating gradient of the order parameter in the current configuration. A double-well barrier term is included in the structure of the Helmholtz free energy which allows one to use the energy terms per unit volume at the current time when introducing the surface stresses in the current approach. Thus, the surface stresses are introduced in a similar way... 

    Controlling the microscale separation of immiscible liquids using geometry: A computational fluid dynamics study

    , Article Chemical Engineering Science ; Volume 220 , 2020 Kamrani, S ; Mohammadi, A ; Sharif University of Technology
    Elsevier Ltd  2020
    Abstract
    In this study, we numerically determined the performance of a microscale separator comprising a lateral and a main channel to separate a two-phase flow. It was aimed to conduct continuous phase through the lateral channel and dispersed phase through the main channel. The continuous and dispersed phases were modeled as incompressible Newtonian fluids with the corresponding interface tracked by the phase-field model. The dynamics, including pressure fluctuations in the separator, were further examined. It was mechanistically demonstrated how the geometry of the separator modulates the phase separation. Further examined were the influences of various geometrical parameters on the performance of... 

    Phase field modeling of crack growth with double-well potential including surface effects

    , Article Continuum Mechanics and Thermodynamics ; Volume 32, Issue 3 , 2020 , Pages 913-925 Jafarzadeh, H ; Farrahi, G. H ; Javanbakht, M ; Sharif University of Technology
    Springer  2020
    Abstract
    A thermodynamically consistent phase field approach for fracture including surface stresses is presented. The surface stresses which are distributed inside a finite width layer at the crack surface are introduced as a result of employing some geometrical nonlinearities, i.e., by defining energy terms per unit volume at the current time and evaluating gradient of the order parameter in the current configuration. A double-well barrier term is included in the structure of the Helmholtz free energy which allows one to use the energy terms per unit volume at the current time when introducing the surface stresses in the current approach. Thus, the surface stresses are introduced in a similar way... 

    Numerical Simulation of the Impact of a Drop with a Flat Surface in a Cross Flow, Using LBM

    , M.Sc. Thesis Sharif University of Technology Yazdani Dizicheh, Hamideh (Author) ; Taebi Rahni, Mohammad (Supervisor)
    Abstract
    In this research, numerical simulation of the impact of a drop on a flat surface with oblique velocity has been performed, using two-phase model of Lattice Boltzmann Method (conservative phase-field). During impact, it is important to investigate two-dimensional drop dynamics and to evaluate the effectiveness of the numerical method used. The model used here restores conservative phase field and preserves mass both locally and globally. In addition, to calculate the slope of the phase field, it calls the center points without engaging finite difference calculations. This makes it efficient for running parallel computations. A fixed dry and hard surface is considered and the drop impacts it... 

    Simulation of Retrogression Process Effect on Mechanical Properties and Formability of Precipitation-Hardenable Aluminum Alloys

    , Ph.D. Dissertation Sharif University of Technology Ebrahimi, Hossein (Author) ; Karimi Taheri, Ali (Supervisor)
    Abstract
    A common heat treatment used for hardenable aluminum alloys is the retrogression process. In this process, by dissolving a specific precipitate in the alloys (η'), the strength of the alloys is reduced and their formability is enhanced. However, by applying the retrogression process and deforming the alloy, followed by an aging cycle, the strength returns to its original state. In this project the microstructural evolution during the retrogression process in 7075-aluminum alloy has been primarily studied experimentally with the help of a transmission electron microscope and the effect of retrogression time on the microstructural evolution has been assessed. In addition, since the simulation...