Electromagnetic Problems Solving by Conformal Mapping: A Mathematical Operator for Optimization

Having the property to modify only the geometry of a polygonal structure, preserving its physical magnitudes, the Conformal Mapping is an exceptional tool to solve electromagnetism problems with known boundary conditions. This work aims to introduce a new developed mathematical operator, based on polynomial extrapolation. This operator has the capacity to accelerate an optimization method applied in conformal mappings, to determinate the equipotential lines, the field lines, the capacitance, and the permeance of some polygonal geometry electrical devices with an inner dielectric of permittivityε. The results obtained in this work are compared with other simulations performed by the software of finite elements method, Flux2D.

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Prediction of Rail Profile Wear with the Increase of Vehicle Speed

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.716.659 ◽

2013 ◽

Vol 716 ◽

pp. 659-662

Author(s):

Dong Hyong Lee ◽

Jeong Won Seo ◽

Seok Jin Kwon ◽

Ha Young Choi

Keyword(s):

Numerical Analysis ◽

Finite Elements ◽

Boundary Conditions ◽

Rolling Contact ◽

Finite Elements Method ◽

Vehicle Speed ◽

Two Dimensional ◽

Contact Wear ◽

Rail Wear ◽

Finite Elements Model

A method to simulate rolling contact wear in a rail surface was developed using the finite elements method and numerical analysis. A two-dimensional finite elements model was used in order to reduce the calculation time and boundary conditions to prevent excessive deformation of a wheel and a rail were applied. A numerical analysis of rail wear at rolling contact was predicted using the Archards equation. In addition, the characteristics of rail wear with the increasing speed of vehicle were analyzed. Results show that there was not a large difference in the depths of wear on the rail head with increasing vehicle speed, but the wear on the rail gauge corner increased with increasing vehicle speed.

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MECHANICAL BEHAVIOR OF DISTAL RADIUS FRACTURE FIXATION PLATE BY THE FINITE ELEMENTS METHOD

10.26678/abcm.enebi2018.eeb18-0134 ◽

2018 ◽

Author(s):

Leonardo Battaglion ◽

Antonio Shimano ◽

Ana Paula MACEDO

Keyword(s):

Finite Elements ◽

Mechanical Behavior ◽

Distal Radius Fracture ◽

Distal Radius ◽

Fracture Fixation ◽

Finite Elements Method ◽

Radius Fracture ◽

Fixation Plate

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Finite element modeling of multiple density materials of bone specimens for biomechanical behavior evaluation

SN Applied Sciences ◽

10.1007/s42452-021-04760-9 ◽

2021 ◽

Vol 3 (9) ◽

Author(s):

Sebastián Irarrázaval ◽

Jorge Andrés Ramos-Grez ◽

Luis Ignacio Pérez ◽

Pablo Besa ◽

Angélica Ibáñez

Keyword(s):

Finite Elements ◽

Computational Models ◽

Reaction Force ◽

Elastic Stiffness ◽

Finite Elements Method ◽

Mechanical Resistance ◽

Assessment Procedure ◽

Axial Tomography ◽

Biomechanical Behavior ◽

Ct Data

AbstractThe finite elements method allied with the computerized axial tomography (CT) is a mathematical modeling technique that allows constructing computational models for bone specimens from CT data. The objective of this work was to compare the experimental biomechanical behavior by three-point bending tests of porcine femur specimens with different types of computational models generated through the finite elements’ method and a multiple density materials assignation scheme. Using five femur specimens, 25 scenarios were created with differing quantities of materials. This latter was applied to computational models and in bone specimens subjected to failure. Among the three main highlights found, first, the results evidenced high precision in predicting experimental reaction force versus displacement in the models with larger number of assigned materials, with maximal results being an R2 of 0.99 and a minimum root-mean-square error of 3.29%. Secondly, measured and computed elastic stiffness values follow same trend with regard to specimen mass, and the latter underestimates stiffness values a 6% in average. Third and final highlight, this model can precisely and non-invasively assess bone tissue mechanical resistance based on subject-specific CT data, particularly if specimen deformation values at fracture are considered as part of the assessment procedure.

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