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Search Results: 1 - 10 of 26799 matches for " finite element method "
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Analysis of trans tibial prosthetic socket materials using finite element method  [PDF]
Prasanna Kumar Lenka, Amit Roy Choudhury
Journal of Biomedical Science and Engineering (JBiSE) , 2011, DOI: 10.4236/jbise.2011.412094
Abstract: The objective of this work was to analyze in a parametric study for optimum design solution of prosthetic socket material by finite element method. A realistic three-dimensional finite element model of the PTB socket was developed to find out the stress distribution pattern under physiologically relevant loading condition during normal walking. The CAD model of the rectified socket was collected from a CMET 250 non-tactile high accuracy (0.06 mm) white light scanner and analyses were carried out using finite element Method in ANSYS®. All structural materials used in the analysis were assumed to be linearly elastic, homogeneous and isotropic. Different materials were used for socket and only polypropylene was used for socket adopter. Analysis was prepared at 2 mm, 3 mm, 4 mm, 5 mm & 6 mm thickness of socket in different materials commonly used in developing countries. The bottom line of socket was made to zero displacement constraints and vertical loads in relation to stance phase of gait cycle were applied under static condition at the patella tendon brim. The 3 mm laminated composite sockets was found to be optimum in terms of strength, weight and factor of safety.
Comparison of fatigue behaviour of eight different hip stems: a numerical and experimental study  [PDF]
Mahmut Pekedis, Hasan Yildiz
Journal of Biomedical Science and Engineering (JBiSE) , 2011, DOI: 10.4236/jbise.2011.410080
Abstract: In this study, finite element analysis was used to investigate the fatigue behavior of eight different hip stems. All of the prostheses investigated in the analysis are already being used in Turkish orthopaedic surgery. All stems were compared with each other in terms of fatigue, deformation and safety factors. Primary analysis was applied on three of the stems, which were tested experimentally. It was observed that the simulation and the experimental results are in good agreement with each other. After determining the reliability of the numerical method, the analysis was applied on all other stems. To obtain a more realistic simulation, boundary conditions were applied according to standards specified in the ISO 7206-4 standard. Three different types of materials were selected during analysis. These materials were Ti-6Al-4V, cobalt chrome alloy and 316L. Minimum fatigue cycles, critical fatigue areas, stresses and safety factor values have been identified. The results obtained from the finite element analysis showed that all stems were safe enough in terms of fatigue life. As a result of fatigue analysis, all stems have been found to be successful, but some of them were found to be better than the others in terms of safety factor. The current study has also demonstrated that analysing hip stems with the finite element method (FEM) can be applied with confidence to support standard fatigue testing and used as an alternative. Further studies can expand the simulations to the clinical relevance due to complex physical relevance.
Analytical Estimation of Elastic Properties of Polypropylene Fiber Matrix Composite by Finite Element Analysis  [PDF]
Bhaskar Pal, Mohamed Riyazuddin Haseebuddin
Advances in Materials Physics and Chemistry (AMPC) , 2012, DOI: 10.4236/ampc.2012.21004
Abstract: A structural composite is a material system consisting of two or more phases on a macroscopic scale, whose mechanical performance and properties are designed to be superior to those of constituent materials acting independently. Fiber reinforced composites (FRP) are slowly emerging from the realm of advanced materials and are replacing conventional materials in a variety of applications. However, the mechanics of FRPs are complex owing to their anisotropic and heterogeneous characteristics. In this paper a representative volume model has been considered and a finite element model incorporating the necessary boundary conditions is developed using available FEA package ANSYS to predict the elastic property of the composite. For verification, the numerical results of elastic properties are compared with the analytical solution and it is found that there is a good agreement between these results.
The Modeling of 2D Controlled Source Audio Magnetotelluric (Csamt) Responses Using Finite Element Method  [PDF]
Imran Hilman Mohammad, Wahyu Srigutomo, Doddy Sutarno, Prihadi Sumintadireja
Journal of Electromagnetic Analysis and Applications (JEMAA) , 2012, DOI: 10.4236/jemaa.2012.47041
Abstract: This paper presents the modeling of 2D CSAMT responses generated by horizontal electric dipole using the separation of primary and secondary field technique. The primary field is calculated using 1D analytical solution for homogeneous earth and it is used to calculate the secondary electric field in the inhomogeneous Helmholtz Equation. Calculation of Helmholtz Equation is carried out using the finite element method. Validation of this modeling is conducted by comparison of numerical results with 1D analytical response for the case of homogeneous and layered earth. The comparison of CSAMT responses are also provided for 2D cases of vertical contact and anomalous conductive body with the 2D magnetotelluric (MT) responses. The results of this study are expected to provide better interpretation of the 2D CSAMT data.
Finite Element Simulation of a Doubled Process of Tube Extrusion and Wall Thickness Reduction  [PDF]
Ahmed S. M. J. Agena
World Journal of Mechanics (WJM) , 2013, DOI: 10.4236/wjm.2013.35026

This research deals with the forward extrusion process of tubes. In this process, a piercing process was carried out on the billet to produce the tube, followed directly by a reduction in the wall thickness. A specific geometrical shape for the piercing zone and the wall thickness reduction zone were chosen and designed. The effects of the redundant shear strain and the magnitude of the extrusion load were investigated and simulated with the finite element method using Q Form software program. Lead was used as model materials since (if the experiments were carried out at room temperature) it has the similar behavior of the steel at high temperature. The results obtained have shown that at the piercing zone, the lowest values of the extrusion load, the redundant strain, the total strain and the finite element effective strain were when a piercing tool (mandrel) of (C = 1.1) was used. While, at the die zone, the lowest values of the extrusion load, the redundant strain, the total strain was when a die of (C = 0.9) was used.

Finite Element Analysis of Sound Transmission Loss in One-Dimensional Solids  [PDF]
S. D. Yu, J. G. Kawall
Open Journal of Acoustics (OJA) , 2013, DOI: 10.4236/oja.2013.34017

A higher-order acoustic-displacement based finite element procedure is presented in this paper to investigate one-dimensional sound propagation through a solid and the associated transmission loss. The acoustic system consists of columns of standard air and a solid, with the upstream column of air subjected to a sinusoidal sound source. The longitudinal wave propagation in each medium is modeled using three-node finite elements. At the interfaces between the air and the solid medium, the continuity in acoustic displacements and the force equilibrium conditions are enforced. The Lagrange multipliers method is utilized to assemble the global equations of motion for the acoustic system. Numerical results obtained for various test cases using the procedure described in the paper are in excellent agreement with the analytical solutions and other independent solutions available in the literature.

Band Gap Effects in a Two-Dimensional Regular Polygonal Graphene-Like Structure  [PDF]
Zi-Gui Huang, Chun-Fu Su
Crystal Structure Theory and Applications (CSTA) , 2014, DOI: 10.4236/csta.2014.31002

This study proposes a novel phononic-crystal acoustic wave device (AWD). A graphene atomic structure was adopted as the main research subject, and a graphene-like structure was designed using piezoelectric material ZnO and its periodic boundary conditions were defined using the finite element method (FEM). The study conducts acoustic-wave propagation analysis in the frequency domain on the 2D graphene-like structure according to Bloch theory to understand the band gap effects generated by its natural vibration. The effects of shape transformation from a hexagonal honeycomb structure into a regular polygon were also investigated regarding the band gap phenomenon. Thus, this study compared and analyzed numerous 2D polygonal graphene-like structures with a fixed bond diameter (d = 2R =0.7 mm), bonding stick width (0.2 mm), and side length (1 mm), and observed the trends of the band gap changes under natural vibration for designing an optimal AWD; the studied 2D polygonal models were a square, and a regular hexagon, octagon, and decagon.

Finite Element Analysis and Test of an Ultrasonic Compound Horn  [PDF]
Hongbing Wang, Chunhua Sun
World Journal of Engineering and Technology (WJET) , 2017, DOI: 10.4236/wjet.2017.53029
Abstract: An?ultrasonic compound horn is designed and manufactured, and the horn is analyzed by wave equation, finite element method and test. The modal frequencies and frequencies of the first and second longitudinal vibration of the horn are obtained by the finite element analysis. The horn is made and modal testing is carried out. The modal frequencies of the first and second longitudinal vibration are obtained respectively. The test results are in good agreement with the theoretical calculation. Experimental results show the maximum amplitude of the horn can reach 9?nm with applied excitation voltage of amplitude 7?V and frequency 21,450?Hz, when the amplitude of voltage increases?to 80?V, the horn of maximum amplitude reaches?23 μm. The maximum amplitude of the horn is approximately proportional to the amplitude of excitation voltage. The horn has the characteristics of high sensitivity and large amplitude, and can be used in ultrasonic machining and other fields.
Effect of the Shear Reinforcement Type on the Punching Resistance of Concrete Slabs  [PDF]
Kálmán Koris, András Kozma, István Bódi
Open Journal of Civil Engineering (OJCE) , 2018, DOI: 10.4236/ojce.2018.81001
Abstract: Punching shear failure of flat concrete slabs is a complex phenomenon with brittle failure mode, meaning sudden structural failure and rapid decrease of load carrying capacity. Due to these reasons, the application of appropriate punching shear reinforcement in the slabs could be essential. To obtain the required structural strength and performance in slab-column junctions, the effect of the shear reinforcement type on the punching resistance must be known. For this purpose, numerous nonlinear finite element simulations were carried out to determine the behavior and punching shear strength of flat concrete slabs with different punching shear reinforcement types. The efficiency of different reinforcement types was also determined and compared. Accuracy of the numerical simulations was verified by experimental results. Based on the comparison of numerical results,?the partial factor for the design formula used in Eurocode 2 was calculated and was found to be higher than the actual one.
An Introduction to Numerical Methods for the Solutions of Partial Differential Equations  [PDF]
Manoj Kumar, Garima Mishra
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.211186
Abstract: Partial differential equations arise in formulations of problems involving functions of several variables such as the propagation of sound or heat, electrostatics, electrodynamics, fluid flow, and elasticity, etc. The present paper deals with a general introduction and classification of partial differential equations and the numerical methods available in the literature for the solution of partial differential equations.
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