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    Modelling of Frictional Cracks by the Extended Finite Element Method Considering the Effect of Singularity

    , M.Sc. Thesis Sharif University of Technology Saeed Monir, Saeed (Author) ; Khonsari, Vahid (Supervisor) ; Mohammadi, Soheil (Co-Advisor)
    Abstract
    When a crack is subjected to a compression field, it will close and its edges will get into contact with each other. Depending on the direction and magnitude of the loads and also the coefficient of friction, ‘stick’ or ‘slip’ situationsbetween the edges will occur. This type of crack is known as ‘frictional crack.’ In this project, first these cracks are studied analytically and the order of singularity is derived using asymptotic analysis and also the analytical fields are determined for both ‘isotropic’ and ‘orthotropic’ materials. Then, numerical simulations are carried out using extended finite element method which is considered as the most powerful means for analyzing the problems... 

    Theoretical and Numerical Analysis of Shock Waves Propagation in Porous Medium

    , Ph.D. Dissertation Sharif University of Technology Nemati Hayati, Ali (Author) ; Ahmadi, Mohammad Mehdi (Supervisor) ; Mohammadi, Soheil ($item.subfieldsMap.e)
    Abstract
    Particulate porous mateials have always been of interest in terms of reducing shock waves effects in different protective applications. Therefore, the physics governing the flow in porous media is especially significant for which different models have been presented by the researchers. The complexities of these media have caused many existing models to be unable to properly predict the behavior of granular media under shock loadings. On the other hand, the complexity of the equations makes the numerical solution of them cumbersome and costly in a way that many researchers do not solve the whole coupled equations and reduce their number. In addition, current high-resolution TVD solutions of...