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Автор: Grafiati
Опубліковано: 9 листопада 2023

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1

Lugo Jiménez, Abdul Abner, Guelvis Enrique Mata Díaz, and Bladismir Ruiz. "A comparative analysis of methods: mimetics, finite differences and finite elements for 1-dimensional stationary problems." Selecciones Matemáticas 8, no. 1 (June 30, 2021): 1–11. http://dx.doi.org/10.17268/sel.mat.2021.01.01.

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Numerical methods are useful for solving differential equations that model physical problems, for example, heat transfer, fluid dynamics, wave propagation, among others; especially when these cannot be solved by means of exact analysis techniques, since such problems present complex geometries, boundary or initial conditions, or involve non-linear differential equations. Currently, the number of problems that are modeled with partial differential equations are diverse and these must be addressed numerically, so that the results obtained are more in line with reality. In this work, a comparison of the classical numerical methods such as: the finite difference method (FDM) and the finite element method (FEM), with a modern technique of discretization called the mimetic method (MIM), or mimetic finite difference method or compatible method, is approached. With this comparison we try to conclude about the efficiency, order of convergence of these methods. Our analysis is based on a model problem with a one-dimensional boundary value, that is, we will study convection-diffusion equations in a stationary regime, with different variations in the gradient, diffusive coefficient and convective velocity.
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2

Barros, M. L. C., A. G. Batista, M. J. S. Sena, A. L. Amarante Mesquita, and C. J. C. Blanco. "Application of a shallow water model to analyze environmental effects in the Amazon Estuary Region: a case study of the Guajará Bay (Pará – Brazil)." Water Practice and Technology 10, no. 4 (December 1, 2015): 846–59. http://dx.doi.org/10.2166/wpt.2015.104.

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This study used hydrodynamic modeling to investigate the hydrodynamic circulation and pollutant transport of the Guajará Bay-PA. The hydrodynamic modeling was performed using the classical Saint-Venant model for shallow waters. The pollutant dispersion was described using a Lagrangian deterministic model that simulates advective–diffusive transport with kinetic reactions for two-dimensional flow. The finites elements method was used to solve the Saint-Venant and transport equations. The bathymetry data were obtained by combining the data from nautical charts provided by the Directorate of Hydrography and Navigation of the Brazilian Navy. The substrate grain size data for the determination of rugosity were obtained from literature. Data on the tides, the wind and the flowrate of the rivers that form the Guajará bay were used as the boundary conditions in the simulation of the hydrodynamic circulation and the pollutant dispersion scenarios. Flood and ebb tide patterns were simulated, which enabled the contaminant plumes of the Guajará Bay to be simulated. An analysis of the simulated fecal coliform plumes indicated that these pollutants that are produced in the metropolitan region of Belém flow towards the beaches in the North, especially those in the Icoaraci and Outeiro districts, affecting the bathing water quality.
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3

Bradji, Abdallah, and Jürgen Fuhrmann. "Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method." Mathematica Bohemica 139, no. 2 (2014): 125–36. http://dx.doi.org/10.21136/mb.2014.143843.

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4

Kulkarni, Sachin M., and Dr K. G. Vishwananth. "Analysis for FRP Composite Beams Using Finite Element Method." Bonfring International Journal of Man Machine Interface 4, Special Issue (July 30, 2016): 192–95. http://dx.doi.org/10.9756/bijmmi.8181.

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5

Ito, Yasuhisa, Hajime Igarashi, Kota Watanabe, Yosuke Iijima, and Kenji Kawano. "Non-conforming finite element method with tetrahedral elements." International Journal of Applied Electromagnetics and Mechanics 39, no. 1-4 (September 5, 2012): 739–45. http://dx.doi.org/10.3233/jae-2012-1537.

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6

Yamada, T., and K. Tani. "Finite element time domain method using hexahedral elements." IEEE Transactions on Magnetics 33, no. 2 (March 1997): 1476–79. http://dx.doi.org/10.1109/20.582539.

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7

Romero, J. L., and Miguel A. Ortega. "Splines generalizados y solución nodal exacta en el método de elementos finites." Informes de la Construcción 51, no. 464 (December 30, 1999): 41–85. http://dx.doi.org/10.3989/ic.1999.v51.i464.872.

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8

Burman, Erik, and Peter Hansbo. "Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method." Applied Numerical Mathematics 62, no. 4 (April 2012): 328–41. http://dx.doi.org/10.1016/j.apnum.2011.01.008.

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9

Mikhaylovskiy, Denis, and Dmytro Matyuschenko. "Numerical researches of DGRP-type experimental frames using the finite elements method." Odes’kyi Politechnichnyi Universytet. Pratsi, no. 2 (August 20, 2016): 11–15. http://dx.doi.org/10.15276/opu.2.49.2016.04.

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10

Matveev, Aleksandr. "Generating finite element method in constructing complex-shaped multigrid finite elements." EPJ Web of Conferences 221 (2019): 01029. http://dx.doi.org/10.1051/epjconf/201922101029.

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The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models. The dimension of discrete models can be effectively reduced by means of multigrid finite elements (MgFE). This paper proposes a generating finite element method for constructing two types of three-dimensional complex-shaped composite MgFE, which can be briefly described as follows. An MgFE domain of the first type is obtained by rotating a specified complex-shaped plane generating single-grid finite element (FE) around a specified axis at a given angle, and an MgFE domain of the second type is obtained by the parallel displacement of a generating FE in a specified direction at a given distance. This method allows designing MgFE with one characteristic dimension significantly larger (smaller) than the other two. The MgFE of the first type are applied to calculate composite shells of revolution and complex-shaped rings, and the MgFE of the second type are used to calculate composite cylindrical shells, complex-shaped plates and beams. The proposed MgFE are advantageous because they account for the inhomogeneous structure and complex shape of bodies and generate low-dimension discrete models and solutions with a small error.
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11

Noguchi, Tetsuo, and Tsutomu Ezumi. "OS01W0062 A study about the elliptic inclusion by optical method and finite element method." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _OS01W0062. http://dx.doi.org/10.1299/jsmeatem.2003.2._os01w0062.

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12

Ben Belgacem, F., and Y. Maday. "The mortar element method for three dimensional finite elements." ESAIM: Mathematical Modelling and Numerical Analysis 31, no. 2 (1997): 289–302. http://dx.doi.org/10.1051/m2an/1997310202891.

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13

Anand, Akash, Jeffrey S. Ovall, and Steffen Weißer. "A Nyström-based finite element method on polygonal elements." Computers & Mathematics with Applications 75, no. 11 (June 2018): 3971–86. http://dx.doi.org/10.1016/j.camwa.2018.03.007.

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14

Kukiełka, Leon, and Krzysztof Kukiełka. "Modelling and analysis of the technological processes using finite element method." Mechanik, no. 3 (March 2015): 195/317–195/340. http://dx.doi.org/10.17814/mechanik.2015.3.149.

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15

Onate, Eugenio, Sergio R. Idelsohn, Riccardo Rossi, Julio Marti, and Miguel A. Celigueta. "ADVANCES IN THE PARTICLE FINITE ELEMENT METHOD (PFEM) IN COMPUTATIONAL MECHANICS." Proceedings of The Computational Mechanics Conference 2010.23 (2010): _—1_—_—4_. http://dx.doi.org/10.1299/jsmecmd.2010.23._-1_.

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16

Burman, Erik, and Peter Hansbo. "Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method." Computer Methods in Applied Mechanics and Engineering 199, no. 41-44 (October 2010): 2680–86. http://dx.doi.org/10.1016/j.cma.2010.05.011.

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17

Duan, Huo-Yuan, and Guo-Ping Liang. "Nonconforming elements in least-squares mixed finite element methods." Mathematics of Computation 73, no. 245 (March 27, 2003): 1–18. http://dx.doi.org/10.1090/s0025-5718-03-01520-5.

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18

Hano, Mitsuo, Keisuke Iwasaki, Ryuki Furuta, and Masashi Hotta. "Spurious-free Intelligent Elements for Two-dimensional Finite Element Method." IEEJ Transactions on Power and Energy 137, no. 3 (2017): 186–94. http://dx.doi.org/10.1541/ieejpes.137.186.

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19

Hansbo, Peter. "A free-Lagrange finite element method using space-time elements." Computer Methods in Applied Mechanics and Engineering 188, no. 1-3 (July 2000): 347–61. http://dx.doi.org/10.1016/s0045-7825(99)00157-7.

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20

Nayroles, B., G. Touzot, and P. Villon. "Generalizing the finite element method: Diffuse approximation and diffuse elements." Computational Mechanics 10, no. 5 (1992): 307–18. http://dx.doi.org/10.1007/bf00364252.

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21

Tani, K., T. Nishio, T. Yamada, and Y. Kawase. "Transient finite element method using edge elements for moving conductor." IEEE Transactions on Magnetics 35, no. 3 (May 1999): 1384–86. http://dx.doi.org/10.1109/20.767221.

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22

Kawase, Y., T. Yamada, and K. Tani. "Error estimation for transient finite element method using edge elements." IEEE Transactions on Magnetics 36, no. 4 (July 2000): 1488–91. http://dx.doi.org/10.1109/20.877719.

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23

Feliziani, M., and E. Maradei. "Point matched finite element-time domain method using vector elements." IEEE Transactions on Magnetics 30, no. 5 (September 1994): 3184–87. http://dx.doi.org/10.1109/20.312614.

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24

Rashid, M. M., and M. Selimotic. "A three-dimensional finite element method with arbitrary polyhedral elements." International Journal for Numerical Methods in Engineering 67, no. 2 (2006): 226–52. http://dx.doi.org/10.1002/nme.1625.

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25

Hlaváček, Ivan. "Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method." Applications of Mathematics 35, no. 3 (1990): 225–36. http://dx.doi.org/10.21136/am.1990.104407.

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26

Brandts, Jan, and Rob Stevenson. "A stable and optimal complexity solution method for mixed finite element discretizations." Mathematica Bohemica 127, no. 2 (2002): 153–61. http://dx.doi.org/10.21136/mb.2002.134167.

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27

Ziada, Mahmoud, Sertaç Tuhta, and Eren Hayati Gençbay Furkan Günday Yosra Tammam. "Analysis of Tunnel Form Building Retrofitted with CFRP using Finite Element Method." International Journal of Trend in Scientific Research and Development Volume-3, Issue-2 (February 28, 2019): 822–26. http://dx.doi.org/10.31142/ijtsrd21505.

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28

Kuwazuru, Osamu, Jariyaporn Saothong, and Nobuhiro Yoshikawa. "WRINKLE ANALYSIS OF AGING SKIN BY FINITE ELEMENT METHOD(1E1 Computational Biomechanics)." Proceedings of the Asian Pacific Conference on Biomechanics : emerging science and technology in biomechanics 2007.3 (2007): S77. http://dx.doi.org/10.1299/jsmeapbio.2007.3.s77.

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29

Mirotznik, Mark S., Dennis W. Pratherf, and Joseph N. Mait. "A hybrid finite element-boundary element method for the analysis of diffractive elements." Journal of Modern Optics 43, no. 7 (July 1996): 1309–21. http://dx.doi.org/10.1080/09500349608232806.

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30

Vlase, Sorin, Iuliu Negrean, Marin Marin, and Silviu Năstac. "Kane’s Method-Based Simulation and Modeling Robots with Elastic Elements, Using Finite Element Method." Mathematics 8, no. 5 (May 15, 2020): 805. http://dx.doi.org/10.3390/math8050805.

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Анотація:
The Lagrange’s equation remains the most used method by researchers to determine the finite element motion equations in the case of elasto-dynamic analysis of a multibody system (MBS). However, applying this method requires the calculation of the kinetic energy of an element and then a series of differentiations that involve a great computational effort. The last decade has shown an increased interest of researchers in the study of multibody systems (MBS) using alternative analytical methods, aiming to simplify the description of the model and the solution of the systems of obtained equations. The method of Kane’s equations is one possibility to do this and, in the paper, we applied this method in the study of a MBS applying finite element analysis (FEA). The number of operations involved is lower than in the case of Lagrange’s equations and Kane’s equations are little used previously in conjunction with the finite element method (FEM). Results are obtained regardless of the type of finite element used. The shape functions will determine the final form of the matrix coefficients in the equations. The results are applied in the case of a planar mechanism with two degrees of freedom.
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31

Matwiej, Łukasz, Marek Wieruszewski, Krzysztof Wiaderek, and Bartosz Pałubicki. "Elements of Designing Upholstered Furniture Sandwich Frames Using Finite Element Method." Materials 15, no. 17 (September 2, 2022): 6084. http://dx.doi.org/10.3390/ma15176084.

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This paper presents an approach to the design of an upholstered furniture frame using the finite element method and empirical studies. Three-dimensional discrete models of upholstered furniture frames were developed taking into account orthotropic properties of solid pine wood (Pinus sylvestris L.) without and with details strengthening their structure in the form of glue joints and upholstery staples. Using the CAE Autodesk Inventor Nastran finite element method, linear static analyses were performed by simulating normative loading. The finite element method was performed considering the experimentally determined stiffness coefficients of the PCAC adhesive and staple joints. As a result, stress, displacement, and equivalent strain distributions were obtained for upholstered furniture frame models with stapled corner joints. The deformation and strength behavior of the upholstered furniture frames was improved by reinforcing with a wood strip. A new approach to the design of upholstered furniture frame frames using the FEM method with stapled component connections was developed and tested. The results of the study can be applied in the optimization of upholstered furniture construction.
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32

R. C. Reis, Renata, Marcio L. M. Kimpara, João Onofre Pereira Pinto, and Babak Fahimi. "MULTI-PHYSICS SIMULATION OF 6/4 SWITCHED RELUCTANCE MOTOR BY FINITE ELEMENT METHOD." Eletrônica de Potência 26, no. 1 (March 31, 2021): 8–18. http://dx.doi.org/10.18618/rep.2021.1.0004.

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33

Hlaváček, Ivan. "Optimization of the domain in elliptic problems by the dual finite element method." Applications of Mathematics 30, no. 1 (1985): 50–72. http://dx.doi.org/10.21136/am.1985.104126.

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34

Hlaváček, Ivan, and Michal Křížek. "Internal finite element approximation in the dual variational method for the biharmonic problem." Applications of Mathematics 30, no. 4 (1985): 255–73. http://dx.doi.org/10.21136/am.1985.104149.

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35

Hlaváček, Ivan. "A mixed finite element method for plate bending with a unilateral inner obstacle." Applications of Mathematics 39, no. 1 (1994): 25–44. http://dx.doi.org/10.21136/am.1994.134241.

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36

CRUZ GUAYACUNDO, WILMER, and DANIEL PEÑARETE. "NÁLISIS DE LA PRESIÓN FACIAL GENERADA POR LAS MASCARILLAS DE USO COTIDIANO UTILIZANDO EL MÉTODO DE ELEMENTOS FINITOS." Revista Ingeniería, Matemáticas y Ciencias de la Información 9, no. 17 (January 31, 2022): 13–20. http://dx.doi.org/10.21017/rimci.2022.v9.n17.a107.

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In the present work, a model based on the finite element method is formulated, with the purpose of measuring the facial pressure generated by everyday masks. The analysis includes the computational determination of the contact pressure generated by the mask on two head shapes that contemplate the anthropometric dimensions of the Colombian population between 20 and 59 years old, one represents the male sex and the other the female sex. The head model is divided into five parts (two cheeks, the forehead, the chin, and the back of the head), some of them contemplate layers of skin, muscle, fat tissue and bone, according to the anatomy of the human head. The mask is made up of three layers of different materials, a metal clip and two elastic bands that allow the mask to be adjusted to the face. The simulation process consists of placing the mask fully centered on the face and stretching the elastic bands until they are located at the back of the ears, thus generating facial contact between the mask and the head. The results obtained in the simulation indicate that the maximum pressure values are found in five specific points of the head.
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37

D.M.Garasiya, D. M. Garasiya, K. K. Bhabhor K. K. Bhabhor, and A. B. Damor A. B. Damor. "Spectrum/Seismic Analysis of High Voltage 145Kv Circuit Breaker Using Finite Element Method." International Journal of Scientific Research 2, no. 6 (June 1, 2012): 253–55. http://dx.doi.org/10.15373/22778179/june2013/81.

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38

Adnyani, Luh Putri, Muhammad Abid Mapariorio Arsyad, and Samsu Dlukha Nurcholik. "Analysis of Fatigue Life of Tugboat Towing Hook Construction Using Finite Element Method." Kapal: Jurnal Ilmu Pengetahuan dan Teknologi Kelautan 17, no. 2 (July 21, 2020): 86–94. http://dx.doi.org/10.14710/kapal.v17i2.29587.

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Анотація:
The towing hook on the tugboat has a function to pull the barge. Because of this ability, a good towing hook construction is needed to work optimally. Indications for the good construction is the value of fatigue life, which is more than the value of design life of 20 years. A towing hook detail on tugboat from PT. Asia Aditama Shipyard – Balikpapan was selected as an example. This study aims to obtain the value of fatigue life based on the total resistance calculated by BHP data in full, 75%, and 50% of the total displacement volume and estimate the maximum size of a barge, based on maximal towing pull capacity. The benefits of this research are providing information about the fatigue life of a towing hook, analyzing several possible load cases, and giving the recommendation of the maximum principal dimensions of the barge that the towing hook can be pulled. The method used in this study is the finite element method using ANSYS, the fatigue life calculation approach is the Palmgren–Miner cumulative damage method and refers to the DNVGL rule. The results of the calculation of fatigue life in the maximum towing pull condition are 22 years, 22 years, and 23 years at 100%, 75%, and 50%, respectively. The main size of barges that can be towed by Tugboats under maximum towing pull conditions are LOA = 147m, LWL = 144,529m, B = 35m, H = 13m, T = 11m.
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39

GUIDI, E. S., F. A. SILVA, C. CAVAGIONI, and C. A. CHAVES. "CONCENTRAÇÃO DE TENSÕES EM PEÇAS E COMPONENTES ESTRUTURAIS ATRAVÉS DO MÉTODO DOS ELEMENTOS FINITOS." Revista Sodebras 12, no. 134 (February 2017): 157–62. http://dx.doi.org/10.29367/issn.1809-3957.2017.02.134.157.

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40

P. Tamayo, Jorge L., Armando M. Awruch, and Inácio B. Morsch. "DYNAMIC ANALYSIS OF REINFORCED CONCRETE STRUCTURES." Revista Cientifica TECNIA 22, no. 1 (April 4, 2017): 33. http://dx.doi.org/10.21754/tecnia.v22i1.88.

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ABSTRACTThe objective of this work is to provide a reliable numerical model using the finite element method (FEM) for the dynamic analysis of reinforced concrete (RC) structures. For this purpose, a computer program based on a strain-rate sensitive elasto-plastic theory is developed using 3D brick finite elements. The implicit Newmark scheme with predictor and corrector phases is used for time integration of the nonlinear system of equations. In addition, the steel reinforcement is considered to be smeared and perfectly adhered to concrete and represented by membrane finite elements. Two benchmark examples are analyzed with the present numerical model and results are compared with those obtained by other authors. The present numerical model is able to reproduce the path failure, collapse loads and failure mechanism within an acceptable level of accuracy. Keywords.-Reinforced concrete (RC) structures, Finite element method (FEM). RESUMENEl objetivo de este trabajo es presentar un modelo numérico confiable usando el método de los elementos finitos (MEF) para el análisis dinámico de estructuras de concreto reforzado. Con este propósito, un programa de cómputo basado en la teoría de elasto-plasticidad con sensibilidad a la velocidad de deformación es desarrollado usando elementos finitos tridimensionales. El procedimiento de Newmark es adoptado para la integración en el tiempo del sistema no linear de ecuaciones. Además, se supone que el acero de refuerzo está perfectamente distribuido e adherido al concreto, siendo representado por elementos finitos de membrana. Dos ejemplos son solucionados con el presente modelo numérico y los resultados obtenidos son comparados con los resultados de otros autores. Para todos los casos, la trayectoria de falla, la carga de colapso y el mecanismo de falla son reproducidos con suficiente precisión. Palabras clave.- Estructuras de concreto reforzado, Método de los elementos finitos (MEF).
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41

Prabhune, Bhagyashree, Saketh Sridhara, and Krishnan Suresh. "Tangled finite element method for handling concave elements in quadrilateral meshes." International Journal for Numerical Methods in Engineering 123, no. 7 (January 3, 2022): 1576–605. http://dx.doi.org/10.1002/nme.6907.

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42

Nagappan, Kumar, and Ganesh Raja. "Evaluation of Linear and Nonlinear Gap Elements Using Finite Element Method." SAE International Journal of Aerospace 2, no. 1 (November 10, 2009): 159–64. http://dx.doi.org/10.4271/2009-01-3181.

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43

Kaveh, A., M. S. Massoudi, and M. J. Massoudi. "Efficient finite element analysis using graph-theoretical force method; hexahedron elements." Computers & Structures 128 (November 2013): 175–88. http://dx.doi.org/10.1016/j.compstruc.2013.07.002.

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Zhen-dong, Luo. "Mixed finite element method of hexahedral elements for Navier-Stokes problem." Applied Mathematics and Mechanics 13, no. 12 (December 1992): 1107–14. http://dx.doi.org/10.1007/bf02456150.

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Warren, Gregory S., and Waymond R. Scott. "Numerical dispersion in the finite-element method using triangular edge elements." Microwave and Optical Technology Letters 9, no. 6 (August 20, 1995): 315–19. http://dx.doi.org/10.1002/mop.4650090606.

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Gang, Zhu, Shen Mengyu, Liu Qiusheng, and Wang Baoguo. "Tensor Universal Serendipity Elements and unsteady Taylor-Galerkin finite element method." Acta Mechanica Sinica 12, no. 1 (February 1996): 15–23. http://dx.doi.org/10.1007/bf02486758.

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Liu, Fushen, and Ronaldo I. Borja. "Stabilized low-order finite elements for frictional contact with the extended finite element method." Computer Methods in Applied Mechanics and Engineering 199, no. 37-40 (August 2010): 2456–71. http://dx.doi.org/10.1016/j.cma.2010.03.030.

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ICHIHASHI, Hidetomo, and Hitoshi FURUTA. "Finite Element Method." Journal of Japan Society for Fuzzy Theory and Systems 6, no. 2 (1994): 246–49. http://dx.doi.org/10.3156/jfuzzy.6.2_246.

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Oden, J. "Finite element method." Scholarpedia 5, no. 5 (2010): 9836. http://dx.doi.org/10.4249/scholarpedia.9836.

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