Showing 11 results for Finite Element Method (fem)
Volume 1, Issue 1 (3-2023)
Abstract
Low Intensity Magnetic Separators (LIMS) are widely used in research and industry. The design of this separator is based on drum rotation inside a tank media, so that a permanent magnets placing inside the drum as an angle form, produces a magnetic field. In this study, the behavior of magnetic and none-magnetic particles of a pulp, flowing through a magnetic field in the wet LIMS, was simulated and validated by experimental results. The magnetic field variables were calculated in an FEM based simulator (COMSOL Multiphysics); while particles’ tracking was done applying CFD numerical method, enhanced by discrete phase model (DPM). The difference between the results of the simulation and the magnetic separation experimental test (recovery of magnetic particles in the concentrate product) was 16.4%. In order to quantify the results of the simulation, magnetic separation simulation was performed by changing two variables affecting the magnetic separation process (variables of particle size of the input pulp feed particles and solid percentage of input pulp) and corresponding experiments. Comparison of laboratory and simulation results showed that the trend of simulation results is consistent with laboratory results of the weight recovery (in both variables under study), so that the maximum simulation error is related to the size of 125 microns (16.5 %) and the lowest simulation error was in 180 microns (11.4 %). Also, the lowest simulation error in the weight recovery prediction was related to the pulp feed solid percentage of 15% (equivalent to 14%) and the highest simulation error was in 30% pulp feed solid percentage (16.9 %). This proposes that FEM-DPM-CFD coupling model, can be applied for simulation, optimization, design and construct
Volume 9, Issue 1 (1-2007)
Abstract
A non-linear finite element model could be a useful tool in the development of a method of predicting soil pressure-sinkage behaviour, and can be used to investigate and analyze soil compaction. This study was undertaken to emphasize that the finite element method (FEM) is a proper technique to model soil pressure-sinkage behaviour. For this purpose, the finite element method was used to model soil pressure-sinkage behaviour and a two-dimensional finite element program was developed to perform the required numerical calculations. This program was written in FORTRAN. The soil material was considered as an elastoplastic material and the Mohr-Coulomb elastoplastic material model was adopted with the flow rule of associated plasticity. In order to deal with material non-linearity, incremental method was adopted to gradually load the soil and a total Lagran-gian formulation was used to allow for the geometric non-linear behaviour in this study. The FEM model was verified against previously developed models for one circular footing problem and one strip footing problem and the finite element program was used to pre-dict the pressure-sinkage behaviour of the footing surfaces. Statistical analysis of the veri-fication confirmed the validity of the finite element model and demonstrated the potential use of the FEM in predicting soil pressure-sinkage behaviour. However, experimental verification of the model is necessary before the method can be recommended for exten-sive use.
Hamid Reza Rezaei, Roozbeh Zarandooz, Majid Sohrabian,
Volume 15, Issue 8 (10-2015)
Abstract
Inconel 625 is a nickel-base supper alloy that is widely used in power plants industry, aerospace systems, and mineral industries due to its properties such as high tensile strength, high corrosion resistance and excellent fabricability. Resistance spot welding (RSW) is one of the important joining processes for assembling supper alloy sheets, because of accuracy and high production rates. In the present research, the influences of electrode tip diameter and other RSW parameters on distribution of temperature and nugget formation are investigated by the finite element method for Inconel 625 superalloy. The process is simulated with a 2D axisymmetric coupled electro-thermal and uncoupled mechanical finite element model by using ABAQUS software package. In order to improve accuracy of simulation, material properties including physical, thermal and mechanical properties is supposed to be temperature-dependent. The diameter of computed weld nuggets is compared with experimental results and good agreement is observed. So, FE model developed in this paper provides prediction of quality and shape of the weld nuggets and temperature distributions with variation of each process parameter, suitably. The results show that increasing electrode tip diameter decreases weld nugget diameter, in constant welding current, but in general, the electrode tip diameter cannot be selected less than a distinct value.
Fatemeh Sadat Alavi, Majid Mirzaei,
Volume 15, Issue 10 (1-2016)
Abstract
Fracture of femur is considered as one of the most significant causes of disability and death, especially among the elderly. Therefore, there is a global effort towards noninvasive assessment of the femoral fractures. This study was aimed at the investigation of the mechanical behavior of human femur subjected to various loading orientations, under the two categories of high-stiffness (HS) and low-stiffness (LS) loading conditions. The experimental and computational analysis of deformation and fracture patterns were carried out using the QCT images and finite element analysis. The predictions of the force and fracture pattern of the HS and LS specimens were performed using linear and nonlinear finite element analyses, respectively. Also, the cohesive zone model (CZM) was used to simulate the damage initiation and propagation in the finite element analysis of latter specimens. The comparison between the results of the numerical analysis and the experimentation showed successful simulation and prediction of fracture force of human femur under various loading orientations.
Mahdi Hassanzadeh,
Volume 15, Issue 11 (1-2016)
Abstract
Shape sensitivity analysis of finite element models is useful for structural optimization and design modifications. Within numerical design optimization, semi-analytical method for sensitivity analysis is frequently applied to estimate the derivative of an objective function with respect to the design variables. Generally numerical sensitivity analysis widely suffers from severe error due to the perturbation size and find a method which is not sensitive to the perturbation size is topics under study. Complex variable methods for sensitivity analysis have some potential advantages over other methods. For first order sensitivities using the complex variable method, the implementation is straightforward, only requiring a perturbation of the finite element mesh along the imaginary axis. This paper uses a complex variable and combine it with discrete sensitivity analysis, thus present new method to obtain derivatives for linear structure. The advantage of this method are quickly, accuracy and its simple implementation. The methodologies are demonstrated using two dimensional finite element models of linear elasticity problems with known analytical solutions. Obtained sensitivity derivatives are compared to the exact solution and also finite difference solutions and show that the proposed method is effective and can predict the stable and accurate sensitivity results.
Yaghoub Dadgar Asl, Mohammad Morad Sheikhi, Ali Pourkamali Anaraki, Vali Ollah Panahizadeh Rahimloo, Mohammad Hosseinpour Gollo,
Volume 16, Issue 5 (7-2016)
Abstract
Today, with the development of technology, industries such as automotive and construction require products with variable cross section. Multiplicity of steps, dimensional limitation and high production costs of the components caused flexible roll forming process used to produce these products. One of the main defects in this process is the fracture phenomenon. The fracture is observed on the bending edges at transition zone that sheet thickness is large compared to the bending radius. In this research the fracture phenomenon is investigated on flexible roll forming process of channel section using ductile fracture criteria. For this purpose finite element simulation of the process using Abaqus software is done. The fracture defect in this process is investigated using six ductile fracture criteria by developing a subroutine. Experimental tests are performed on 27 specimens precut sheet of AL6061-T6, using flexible roll forming machine built in Shahid Rajaee University. By comparing simulation results with experimental results, numerical results were validated. In addition, by comparing the results of ductile fracture criteria with experimental results, the Argon ductile fracture criteria, was chosen as the most appropriate criterion to predict fracture. Also the effects of parameters as sheet thickness, bending radius and bending angle on fracture with argon selected criterion is studied.
Masoud Aliheidari, Asghar Dashti Rahmatabadi, Mahdi Zare Mehrjardi,
Volume 18, Issue 2 (4-2018)
Abstract
Use of oil journal bearings in recent decades has grown considerably because of their desirable performance in light and heavy loading condition and also for reducing noise pollution, as a suitable supports in different industrial equipment such as turbomachines, combustion engines and nuclear reactors .Due to the influence of the geometry of these bearings on their performance, a variety of models such as elliptical, lobed, waved, pivoted pad and axial grooves have been introduced to market for purposeful improvement in their steady-state and dynamic operating conditions. In recent decade, with the development of advanced non-traditional machining equipment, the ability to create textures on the bearings shell has been provided by manufacturers. Cubic, cylindrical, spherical and cone shaped textures can have a different effect on the performance of journal bearings. In this study, the performance of two lobe bearings with cylindrical textures is evaluated. For this purpose, the governing Reynolds equation of Newtonian lubrication has been investigated, regarding to the changes in the lubricant film thickness according to the geometry and position of textures, by the FEM using the Reynolds boundary condition for determining the cavitation zone. Then, the bearing performance is evaluated based on the pressure distribution of the lubricant film and the location of the textures. The results show that the location of the textures, to achieve a more favorable performance, is different for various values of noncircularity index. Also, with increasing the bearing noncircularity, the effect of textures formation on the bearing performance will be more noticeable.
Mahdi Hassanzadeh, ,
Volume 18, Issue 6 (10-2018)
Abstract
The semi-analytical method (SAM) is an approach that computationally efficient and easy to implement. That's why this method often used for the sensitivity analysis of finite element models. However, SAM is not without defect especially in problems that rigid body motions are relatively large reveals severe inaccuracy. Such errors outcome from the pseudo load vector calculated by differentiation using the finite difference method. In the present paper, a new semi-analytical approach based on complex variables is proposed to compute the sensitivity of nonlinear finite element models. This method combines the complex variable method with the discrete sensitivity analysis to obtain the response sensitivity accurately and efficiently. The current approach maintains the computational efficiency of the semi-analytical method with higher accuracy. In addition, the current approach is insensitive to the choice of step size, a feature that simplifies its use in practical problems. The method can be used to nonlinear finite elements only requires minor modifications to existing finite element codes. In this paper, the authors demonstrate that the discrete sensitivity analysis and the complex variable method are equivalent and solve the same equation. Finally, the accuracy of the method is investigated through the various numerical examples by comparing by other methods and will show that this method is reliable and independent of step size.
M. Hassanzadeh , S. Kashani ,
Volume 19, Issue 1 (1-2019)
Abstract
In this paper, extended complex variables method (ECVM) is presented in fluid flow problems for the first and second-order sensitivity analysis. The finite element method is used to solve the Navier-Stokes equations, and the complex variables method is implemented to it. In the complex variables method, a complex step that only includes the imaginary part is used, but in its development, it uses a complex step that includes both the imaginary part and the real part to achieve higher performance. In the first-order sensitivity calculation, the results are not dependent on the step size, but in the second-order sensitivity, the results of the sensitivity depending on the step size and inevitably the developed formulas should be used to obtain higher accuracy. The proposed method is first validated for a problem with a closed-form solution, and the convergence rate is investigated and, then, applied to a uniform flow past a cylindrical cylinder and, finally, the results are compared by finite difference method. The results show that the range of accuracy for second-order sensitivity in the extended complex variable method is doubled compared to the complex variable method and it can be reduced to 10-12. It means that the effectiveness of the proposed method has increased. The introduced method is applicable to a wide range of problems with simple and complex parameters.
A. Rasoolizadeh Shooroki , A. Dashti Rahmatabadi, M. Zare Mehrjardi,
Volume 19, Issue 10 (10-2019)
Abstract
Improvement of behavioral indicators of oil journal bearings has particular importance due to the increasing development of their application as support of rotary components in industrial machinery. Creation of regular roughness (texture) with various geometries on the inner surface of a bearing shell is one of the newest methods proposed by the lubrication researchers to enhance the performance of the hydrodynamic journal bearings. In this study, the comparison of the performance of circular bearings with variable cubic, cylindrical and ellipsoid textures of different depths arranged in a different zone of the shell has been evaluated. For this purpose, the governing Reynolds equation on hydrodynamic lubrication of oil journal bearing was modified considering the changes of the film thickness affected by the geometry and position of the textures. This equation was solved by finite element numerical method, applying the assumption of the Reynolds boundary condition for determining cavitation zone. After obtaining the lubricant pressure profile, the parameters of steady-state performance of the bearing with different texture types were calculated and compared together. Results indicate that the creation of textures with any geometry reduces the lubricant pressure and changes the parameters of the bearing performance. Also, the placement of textures in the maximum pressure area leads to significant changes in performance components while their positioning in the lubricant cavitation region has a weak effect on the bearing behavior. Further, the results show that the difference in characteristics of bearing performance with shallow textures is more considerable and with the increase of textures depth the effect of geometry form on the performance will be reduced.
Morteza Mohebbi, Valiollah Panahizadeh, Mohammad Hoseinpour,
Volume 21, Issue 7 (7-2021)
Abstract
Cold work hardening and nonlinear strain path, cause the failure strain change. Therefore, it is necessary to consider the created cold-work hardening and its distribution for predicting and simulating the behavior of products. The composite rupture disc cold-work hardened during manufacturing and burst and release pressure in a pressure commensurate with this hardening. In this case, the sheet metal undergoes a nonlinear strain path during forming and after slotting during the burst test. In this paper, the burst pressure of a composite Rupture disc estimated by using finite element simulation in Abaqus-implicit and explicit and by considering the strain hardening during bulge forming before the slotting process. The burst pressure is estimated according to the maximum plastic failure strain that changed due to nonlinear strain path and work hardening. The burst pressure predictions were compared and validated by experimental tests. In this paper, the effect slotting pattern, investigated by using FEM simulations and experiments. In the prepared samples for this paper, by slotting after bulge forming, the burst pressure reduces more than 80%. The simulation with this method predicts this pressure reduction with an error of about 3%.
