• فهرس المقالات Mesh-Free

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        1 - Bending Behavior of Sandwich Plates with Aggregated CNT-Reinforced Face Sheets
        M Mirzaalian F Aghadavoudi R Moradi-Dastjerdi
        The main aim of this paper is to investigate bending behavior in sandwich plates with functionally graded carbon nanotube reinforced composite (FG-CNTRC) face sheets with considering the effects of carbon nanotube (CNT) aggregation. The sandwich plates are assumed resti أکثر
        The main aim of this paper is to investigate bending behavior in sandwich plates with functionally graded carbon nanotube reinforced composite (FG-CNTRC) face sheets with considering the effects of carbon nanotube (CNT) aggregation. The sandwich plates are assumed resting on Winkler-Pasternak elastic foundation and a mesh-free method based on first order shear deformation theory (FSDT) is developed to analyze the deflection of sandwich plates. In the face sheets, volume fraction of CNTs and their clusters are considered to be changed along the thickness. To estimate the material properties of the nanocomposite, Eshelby-Mori-Tanaka approach is applied. In the mesh-free analysis, moving least squares (MLS) shape functions are employed to approximate the displacement field and transformation method is used for imposition of essential boundary conditions. The effects of CNT volume fraction, distribution and degree of aggregation, and also boundary conditions and geometric dimensions are investigated on the bending behavior of the sandwich plates. It is observed that in the same value of cluster volume, FG distribution of clusters leads to less deflection in these structures. تفاصيل المقالة
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        2 - Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free Method
        M Foroutan Sh Sharafi S Mohammadi
        A mesh-free method based on moving least squares approximation (MLS) and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM أکثر
        A mesh-free method based on moving least squares approximation (MLS) and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the transformation method. The mesh-free method is verified by comparison with a finite element method (FEM) which performed for FGPM beams. Comparisons showed that this model has a good accuracy. After validation of the presented model, a parametric study was carried out to investigate the effect of mechanical and electrical boundary conditions, slenderness ratio and distribution of constituent materials on natural frequencies of FGPM beams. It is concluded that slenderness ratio has more significant effect on lower frequencies. On the other hand higher frequencies are affected by the volume fraction power index much more than lower frequencies. تفاصيل المقالة
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        3 - Free Vibration Analysis of Orthotropic FGM Cylinders by a Mesh-Free Method
        R Moradi-Dastjerdi M Foroutan
        In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibr أکثر
        In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Essential boundary conditions are imposed by transformation method. In this simulation, an axisymmetric model is used. The orthotropic FGM cylinders are assumed to be a mixture of two isotropic materials as fiber and matrix. The volume fraction of the fiber is changed in the radial direction. Consequently, mechanical properties of these cylinders are changed in the radial direction. Free vibration analysis of orthotropic FGM cylinders with any arbitrary combination of boundary conditions is possible by the proposed model. Natural frequencies obtained from the presented model are in good agreement with results of finite element simulation and other results from literature. Effects of various types of boundary conditions, geometrical parameters, and mechanical properties on the natural frequencies are studied. تفاصيل المقالة
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        4 - The Effects of Carbon Nanotube Orientation and Aggregation on Static Behavior of Functionally Graded Nanocomposite Cylinders
        R Moradi-Dastjerdi G Payganeh M Tajdari
        In this paper, the effects of carbon nanotube (CNT) orientation and aggregation on the static behavior of functionally graded nanocomposite cylinders reinforced by CNTs are investigated based on a mesh-free method. The used nanocomposites are made of the straight CNTs t أکثر
        In this paper, the effects of carbon nanotube (CNT) orientation and aggregation on the static behavior of functionally graded nanocomposite cylinders reinforced by CNTs are investigated based on a mesh-free method. The used nanocomposites are made of the straight CNTs that are embedded in an isotropic polymer as matrix. The straight CNTs are oriented, randomly or aligned or local aggregated into some clusters. The volume fractions of the CNTs and clusters are assumed variable along the thickness, so mechanical properties of the carbon nanotube reinforced composite cylinders are variable and are estimated based on the Eshelby–Mori–Tanaka approach. The obtained mechanical properties are verified by experimental and theoretical results that are reported in literatures. In the mesh-free analysis, moving least squares (MLSs) shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Also, the effects of CNT distribution type and cylinder thickness are investigated on the stress distribution and displacement field of these cylinders. تفاصيل المقالة
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        5 - Static and Free Vibration Analyses of Orthotropic FGM Plates Resting on Two-Parameter Elastic Foundation by a Mesh-Free Method
        H Momeni-Khabisi
        In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The me أکثر
        In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer function method. The orthotropic FGM plates are made of two orthotropic materials and their volume fractions are varied smoothly along the plate thickness. The convergence of the method is demonstrated and to validate the results, comparisons are made with finite element method (FEM) and the others available solutions for both homogeneous and FGM plates then numerical examples are provided to investigate the effects of material distributions, elastic foundation coefficients, geometrical dimensions, applied force and boundary conditions on the static and vibrational characteristics of the orthotropic FGM plates. تفاصيل المقالة
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        6 - Investigation of Shape Functions Role on the Mesh-free Method Application in Soft Tissue Elastography
        Hamed Ajabi Naeeni Mohammad Haghpanahi Hamid Behnam Hadi Pirali
        In current study, The Mesh-free method based on weak-form formulation coupled with the ultrasound imaging technique is developed. This problem consists in computing the deformation of an elastic non-homogenous phantom by numerical methods (both Mesh-free and Finite Elem أکثر
        In current study, The Mesh-free method based on weak-form formulation coupled with the ultrasound imaging technique is developed. This problem consists in computing the deformation of an elastic non-homogenous phantom by numerical methods (both Mesh-free and Finite Element) and converge their results to the measured deformation by the ultrasound. The shape functions of Mesh-free are approximated by the Moving Least Square (MLS) method. The effect of Shape functions on the Mesh-free results are analyzed and discussed with the several simulations in 2D domain. تفاصيل المقالة
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        7 - Static Analysis of Orthotropic Functionally Graded Material Cylinders with Finite Length by a Mesh-Free Method
        رسول مرادی دستجردی مهرداد فروتن سمیه عبداللهی بکتاش
        In this paper static analysis of orthotropic functionally graded material (FGM) cylinders with finite length was carried out by a mesh-free method. MLS shape functions are used for approximation of displacement field in the weak form of equilibrium equation and essentia أکثر
        In this paper static analysis of orthotropic functionally graded material (FGM) cylinders with finite length was carried out by a mesh-free method. MLS shape functions are used for approximation of displacement field in the weak form of equilibrium equation and essential boundary conditions are imposed by transformation method. In this simulation, an ax symmetric model is used. Mechanical properties of cylinders were assumed to be variable in the radial direction as a function of volume fraction. In this analysis, effects of the cylinder thickness and length, volume fraction exponent, type of materials layout and essential boundary conditions on displacement fields and stress distribution for orthotropic cylinders are investigated. The results of the proposed method for isotropic FGM cylinders were compared with corresponding results obtained from FEM and previous published works and a very good agreement are seen between them. Also by comparing the stress distributions of orthotropic FGM cylinders and corresponding results of homogeneous multilayered orthotropic cylinders were confirmed. تفاصيل المقالة
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        8 - Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method
        رسول مرادی دستجردی مهرداد فروتن امین‌الله پوراصغر
        In this paper, free and forced vibration analysis of functionally graded material cylinders was carried out by mesh-free and finite element method. In this analysis, MLS shape functions are used for approximation of displacement field in the weak form of motion equation أکثر
        In this paper, free and forced vibration analysis of functionally graded material cylinders was carried out by mesh-free and finite element method. In this analysis, MLS shape functions are used for approximation of displacement field in the weak form of motion equation and essential boundary conditions are imposed by transformation method. Resulted set of differential equations are solved using central difference approximation. Mechanical properties of cylinders were assumed to be variable in the radial direction as a function of volume fraction. Effects of geometrical dimensions of the cylinders, exponent of material volume fraction and the effect of loading type were investigated by the proposed model and FEM. Results obtained by this analysis were compared with the analytical solutions and the results of finite element analysis, and a very good agreement was seen between them. تفاصيل المقالة