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One of the most applicable methods to study the mechanical behavior of reinforced polymers with CNTs is modeling of representative volume element (RVE). It has been shown that the mechanical behavior of RVE depends on its ingredients mechanical properties and its geometrical parameters. In this research, a RVE which includes a CNT and its surrounding polymer is chosen as a rectangular cube. In this research, effects of the length and depth of the RVE, the length of the CNT and the CNT caps on the elastic behavior of the RVE have been studied. Furthermore, the effect of the volume fraction of CNTs is also considered. First, an analytical solution has been developed to predict the elastic modulus of the RVE. Then, using a finite element method, the elastic behavior of the RVE is modeled. The analytical and numerical results show that at a constant volume fraction of the CNT, variation of each material and geometrical parameters can affect the longitudinal elastic modulus of the RVE significantly. However, it has been shown that the transverse elastic modulus of RVE is not sensitive to the geometrical parameters variations. Finally, using a combination of the Halpin-Tsai micromechanical model and the present analytical solution, a proper aspect ratio of the RVE for each volume fraction of the CNT has been determined and suggested.

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Mechanical properties of polymeric materials are significantly sensitive to the loading rate. Therefore, it is necessary to develop a dynamic constitutive model to investigate their strain rate dependent mechanical behavior. In this study, first by conducting torsion experiments the shear behavior of neat and reinforced epoxy with carbon nano-fibers (CNFs) was studied experimentally. Then, the Johnson-Cook (J-C) model has been modified to be able to model the shear behavior of neat polymers. The strain rate effects on elastic behavior of polymers were considered by introducing a material equation. Then, by combining the modified Johnson-Cook (MJ-C) model with a micromechanical model (Halpin-Tsai model) and using pure polymer experimental tesults and mechanical properties of carbon nano fiber, the strain rate dependent mechanical behavior of polymers reinforced with CNFs at arbitrary strain rates and volume farction of carbon nanofiber has been predicted. The new model presented in this research is called as the dynamic-micromechanical constitutive model. The predicted results for the neat and nano-phased polymers were compared with conducted and available experimental results. It has been shown that the present dynamic constitutive model can predict the strain rate dependent mechanical behavior of polymeric materials with a good accuracy.

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The application of woven fabrics in composites manufacturing has been increased because of their special mechanical behavior. Due to the complexity of modeling and simulation of these composites, in this research a micromechanics based analytical model has been developed to predict the elastic properties of woven fabric composites. The present model is simple to use and has a high accuracy in predicting the elastic properties of woven fabric composites. One of the most important effective factors on the modeling accuracy is utilizing a proper homogenization method. Therefore, a new homogenization method has been developed by using a laminate analogy based method for the woven fabric composites. The proposed homogenization method is a multi-scale homogenization procedure. This model divides the representative volume element to several sub-elements, in a way that the combination of the sub-elements can be considered as a laminated composite. To determine the mechanical properties of laminates, instead of using an iso-strain assumption, the assumptions of constant in-plane strains and constant out of plane stress have been considered. Then, the proposed homogenization model has been combined with a micromechanical model to propose the new micromechanical model. The applied assumptions improve the prediction of mechanical properties of woven fabrics composites, especially the out of plane elastic properties. The proposed model has been evaluated by comparing the predicted results with four available experimental results available in the literature, and the accuracy of the present model has been shown.

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The structure of the government of different societies, while existing differences, have the same functional but different qualities, and in order to resolve the problems, the relations between the institutions of the state must have a good mechanism. Since the Viable Systems Model provide a tool for designing and diagnosis the structure of systems, this study aimed to identify the structure of the government and then diagnosis this structure.
The goal is to investigate the current Government structure from a systemic view, and using a scientific method followed by the application of the Viable Systems Model framework and the Jackson's three-stage method. The structural elements , the duties and relationships between them are identified and diagnosed.
After reviewing and comparing the structure of the structure, this structure detected partially Viable.