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Journal articles on the topic 'Hybrid finite element'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

E. Griffith, Boyce, and Xiaoyu Luo. "Hybrid finite difference/finite element immersed boundary method." International Journal for Numerical Methods in Biomedical Engineering 33, no. 12 (August 16, 2017): e2888. http://dx.doi.org/10.1002/cnm.2888.

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2

POTAPOV, ALEXANDER V., and CHARLES S. CAMPBELL. "A HYBRID FINITE-ELEMENT SIMULATION OF SOLID FRACTURE." International Journal of Modern Physics C 07, no. 02 (April 1996): 155–80. http://dx.doi.org/10.1142/s0129183196000168.

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This paper describes an extension to a computer simulation of solid fracture. In the original model, rigid elements are assembled into a simulated solid by "gluing" the elements together with compliant boundaries which fracture when the tensile strength of the glued joints is exceeded. The current extension applies portions of the finite element technique to allow changes in the shapes of elements. This is implemented at the element level and no global stiffness matrix is assembled; instead, the elements interact across the same compliant boundaries used in the rigid element simulation. As a result, the simulated material can conform to any desired shape and thus can handle large elastic and plastic deformation. This model is intended to study the propagation of multitudinous cracks through simulated solids to aid the understanding of problems such as the impact-induced fragmentation of particles.

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3

Lo, S. H., and T. S. Lau. "Generation of Hybrid Finite Element Mesh." Computer-Aided Civil and Infrastructure Engineering 7, no. 3 (May 1992): 235–41. http://dx.doi.org/10.1111/j.1467-8667.1992.tb00433.x.

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4

Maddux, Gene E. "The hybrid speckle/finite element techniques." Materials & Design 10, no. 2 (March 1989): 64–76. http://dx.doi.org/10.1016/s0261-3069(89)80018-4.

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5

Salon, S. "The hybrid finite element-boundary element method in electromagnetics." IEEE Transactions on Magnetics 21, no. 5 (September 1985): 1829–34. http://dx.doi.org/10.1109/tmag.1985.1064065.

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6

Koch, S., H. De Gersem, and T. Weiland. "Magnetostatic Formulation With Hybrid Finite-Element, Spectral-Element Discretizations." IEEE Transactions on Magnetics 45, no. 3 (March 2009): 1136–39. http://dx.doi.org/10.1109/tmag.2009.2012654.

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7

Azevedo, N. Monteiro, and J. V. Lemos. "Hybrid discrete element/finite element method for fracture analysis." Computer Methods in Applied Mechanics and Engineering 195, no. 33-36 (July 2006): 4579–93. http://dx.doi.org/10.1016/j.cma.2005.10.005.

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8

Tanaka, Seizo, Muneo Hori, and Tsuyoshi Ichimura. "Hybrid Finite Element Modeling for Seismic Structural Response Analysis of a Reinforced Concrete Structure." Journal of Earthquake and Tsunami 10, no. 05 (December 2016): 1640015. http://dx.doi.org/10.1142/s1793431116400157.

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For rational seismic structural response analysis of a Reinforced Concrete (RC) structure, this paper presents a solid element in which a sophisticated concrete constitutive relation and cracking functionality are implemented. Hybrid finite element modeling that uses solid and beam elements for concrete and steel rebar is proposed, made tougher with a method of constructing the hybrid finite element. Well-balanced modeling is possible by first generating beam elements for the steel rebars and then generating solid elements for the concrete with nodes of the beam elements being shared by the solid element. A numerical experiment was carried out for a RC column subjected to unilateral loading, in order to examine the potential applicability of the hybrid finite element modeling. The computed results are compared with the experimental data, and the nonlinear relation between the displacement and reaction force is reproduced to some extent.

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9

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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10

Parrinello, Francesco. "Hybrid Equilibrium Finite Element Formulation for Cohesive Crack Propagation." Key Engineering Materials 827 (December 2019): 104–9. http://dx.doi.org/10.4028/www.scientific.net/kem.827.104.

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Equilibrium elements have been developed in hybrid formulation with independent equilibrated stress fields on each element. Traction equilibrium condition, at sides between adjacent elements and at sides of free boundary, is enforced by use of independent displacement laws at each side, assumed as Lagrangian parameters. The displacement degrees of freedom belongs to the element side, where an extrinsic interface can be embedded. The embedded interface is defined by the same stress fields of the hybrid equilibrium element and it does not require any additional degrees of freedom. The extrinsic interface is developed in the consistent thermodynamic framework of damage mechanics with internal variable and produces a bilinear response in a traction separation diagram. The proposed extrinsic interface can be modelled on every single element side or can be modelled only on a set of predefined element sides.

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11

Melerski, E. S. "Hybrid finite element and modified mixed finite element solutions of axisymmetric circular plates." Computers & Structures 52, no. 3 (August 1994): 405–17. http://dx.doi.org/10.1016/0045-7949(94)90226-7.

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12

Ooi, E. T., and Z. J. Yang. "A hybrid finite element-scaled boundary finite element method for crack propagation modelling." Computer Methods in Applied Mechanics and Engineering 199, no. 17-20 (March 2010): 1178–92. http://dx.doi.org/10.1016/j.cma.2009.12.005.

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13

Bernard-Michel, G., C. Le Potier, A. Beccantini, S. Gounand, and M. Chraibi. "The Andra Couplex 1 Test Case: Comparisons Between Finite-Element, Mixed Hybrid Finite Element and Finite Volume Element Discretizations." Computational Geosciences 8, no. 2 (2004): 187–201. http://dx.doi.org/10.1023/b:comg.0000035079.68284.49.

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14

bak, Mohamed, and K. Kalaichelvan. "Finite Element Analysis of Hybrid Composite Joints." i-manager's Journal on Future Engineering and Technology 6, no. 2 (January 15, 2011): 50–54. http://dx.doi.org/10.26634/jfet.6.2.1326.

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15

Vlahopoulos, Nickolas, and Sungmin Lee. "Applications of the hybrid finite element method." Journal of the Acoustical Society of America 143, no. 3 (March 2018): 1867. http://dx.doi.org/10.1121/1.5036124.

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16

Kaveh, A., and H. A. Rahimi Bondarabady. "A hybrid method for finite element ordering." Computers & Structures 80, no. 3-4 (February 2002): 219–25. http://dx.doi.org/10.1016/s0045-7949(02)00018-4.

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17

Liu, Y., and H. R. Busby. "p-version hybrid/mixed finite element method." Finite Elements in Analysis and Design 30, no. 4 (October 1998): 325–33. http://dx.doi.org/10.1016/s0168-874x(98)00042-0.

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18

Moldovan, Ionuţ Dragoş, and Ildi Cismaşiu. "FreeHyTE: a hybrid-Trefftz finite element platform." Advances in Engineering Software 121 (July 2018): 98–119. http://dx.doi.org/10.1016/j.advengsoft.2018.03.014.

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19

Vlahopoulos, Nickolas, Sungmin Lee, Paul Braunwart, Jeff Mendoza, and Donald Butts. "Hybrid Finite Element Analysis of a Rotorcraft." SAE International Journal of Aerospace 6, no. 1 (May 13, 2013): 23–31. http://dx.doi.org/10.4271/2013-01-1995.

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20

SZE, K. Y., and Y. S. PAN. "HYBRID FINITE ELEMENT MODELS FOR PIEZOELECTRIC MATERIALS." Journal of Sound and Vibration 226, no. 3 (September 1999): 519–47. http://dx.doi.org/10.1006/jsvi.1999.2308.

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21

Wildman, Raymond A., James T. O’Grady, and George A. Gazonas. "A hybrid multiscale finite element/peridynamics method." International Journal of Fracture 207, no. 1 (May 18, 2017): 41–53. http://dx.doi.org/10.1007/s10704-017-0218-y.

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22

Jirousek, J., and A. Venkatesh. "Adaptivity in hybrid-Trefftz finite element formulation." International Journal for Numerical Methods in Engineering 29, no. 2 (February 1990): 391–405. http://dx.doi.org/10.1002/nme.1620290212.

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23

Sreenivasulu, Kola Venkatasruthi, R. Yogeshwaran, and P. V. Jeyakarthikeyan. "Element matrix formulation for family of hybrid quadrilateral transition elements in finite element analysis." IOP Conference Series: Materials Science and Engineering 402 (October 1, 2018): 012068. http://dx.doi.org/10.1088/1757-899x/402/1/012068.

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24

D'Angelo, J., I. Mayergoyz, and M. Palmo. "Hybrid finite element/boundary element analysis for axisymmetric magnetostatic fields." IEEE Transactions on Magnetics 24, no. 6 (1988): 2506–8. http://dx.doi.org/10.1109/20.92156.

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25

Hertel, Riccardo, and Attila Kákay. "Hybrid finite-element/boundary-element method to calculate Oersted fields." Journal of Magnetism and Magnetic Materials 369 (November 2014): 189–96. http://dx.doi.org/10.1016/j.jmmm.2014.06.047.

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26

De Gersem, H., M. Clemens, and T. Weiland. "Iterative solution techniques for hybrid finite-element spectral-element models." IEEE Transactions on Magnetics 39, no. 3 (May 2003): 1717–20. http://dx.doi.org/10.1109/tmag.2003.810544.

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27

Trlep, M., L. Skerget, B. Kreca, and B. Hribernik. "Hybrid finite element-boundary element method for nonlinear electromagnetic problems." IEEE Transactions on Magnetics 31, no. 3 (May 1995): 1380–83. http://dx.doi.org/10.1109/20.376284.

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28

Wang, Hui, and Qing-Hua Qin. "Voronoi Polygonal Hybrid Finite Elements with Boundary Integrals for Plane Isotropic Elastic Problems." International Journal of Applied Mechanics 09, no. 03 (April 2017): 1750031. http://dx.doi.org/10.1142/s1758825117500314.

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Polygonal finite elements with high level of geometric isotropy provide greater flexibility in mesh generation and material science involving topology change in material phase. In this study, a hybrid finite element model based on polygonal mesh is constructed by centroidal Voronoi tessellation for two-dimensional isotropic elastic problems and then is formulated with element boundary integrals only. For the present [Formula: see text]-sided polygonal finite element, two independent fields are introduced: (i) displacement and stress fields inside the element; (ii) frame displacement field along the element boundary. The interior fields are approximated by fundamental solutions so that they exactly satisfy the governing equations to convert element domain integral in the two-field functional into element boundary integrals to reduce integration dimension. While the frame displacement field is approximated by the conventional shape functions to satisfy the conformity requirement between adjacent elements. The two independent fields are coupled by the weak functional to form the stiffness equation. This hybrid formulation enables the construction of [Formula: see text]-sided polygons and extends the potential applications of finite elements to convex polygons of arbitrary order. Finally, five examples including patch tests in square domain, thick cylinder under internal pressure, beam bending and composite with clustered holes are provided to illustrate convergence, accuracy and capability of the present Voronoi polygonal finite elements.

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29

Yang, Chun Hui, Y. X. Zhang, and Hoon Huh. "Hybrid Special Finite Element Method for Bi-Material Crack." Key Engineering Materials 312 (June 2006): 95–104. http://dx.doi.org/10.4028/www.scientific.net/kem.312.95.

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In the paper, two novel 2-D hybrid special finite elements each containing an interfacial edge crack, which lies along or vertical to the interface between two materials, are developed. These proposed elements can assure the high precision especially in the vicinity of crack tip and provide a better description of its singularity with only one hybrid element surrounding one interfacial crack, thus, the numerical modeling of fracture analysis on bi-material crack can be greatly simplified. Numerical examples are provided to demonstrate the validity and versatility of the proposed method.

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30

Jia, Hongxing, Shizhu Tian, Shuangjiang Li, Weiyi Wu, and Xinjiang Cai. "Seismic application of multi-scale finite element model for hybrid simulation." International Journal of Structural Integrity 9, no. 4 (August 13, 2018): 548–59. http://dx.doi.org/10.1108/ijsi-04-2017-0027.

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Purpose Hybrid simulation, which is a general technique for obtaining the seismic response of an entire structure, is an improvement of the traditional seismic test technique. In order to improve the analysis accuracy of the numerical substructure in hybrid simulation, the purpose of this paper is to propose an innovative hybrid simulation technique. The technique combines the multi-scale finite element (MFE) analysis method and hybrid simulation method with the objective of achieving the balance between the accuracy and efficiency for the numerical substructure simulation. Design/methodology/approach To achieve this goal, a hybrid simulation system is established based on the MTS servo control system to develop a hybrid analysis model using an MFE model. Moreover, in order to verify the efficiency of the technique, the hybrid simulation of a three-storey benchmark structure is conducted. In this simulation, a ductile column—represented by a half-scale scale specimen—is selected as the experimental element, meanwhile the rest of the frame is modelled as microscopic and macroscopic elements in the Abaqus software simultaneously. Finally, to demonstrate the stability and accuracy of the proposed technique, the seismic response of the target structure obtained via hybrid simulation using the MFE model is compared with that of the numerical simulation. Findings First, the use of the hybrid simulation with the MFE model yields results similar to those obtained by the fine finite element (FE) model using solid elements without adding excessive computing burden, thus advancing the application of the hybrid simulation in large complex structures. Moreover, the proposed hybrid simulation is found to be more versatile in structural seismic analysis than other techniques. Second, the hybrid simulation system developed in this paper can perform hybrid simulation with the MFE model as well as handle the integration and coupling of the experimental elements with the numerical substructure, which consists of the macro- and micro-level elements. Third, conducting the hybrid simulation by applying earthquake motion to simulate seismic structural behaviour is feasible by using Abaqus to model the numerical substructure and harmonise the boundary connections between three different scale elements. Research limitations/implications In terms of the implementation of the hybrid simulation with the MFE model, this work is helpful to advance the hybrid simulation method in the structural experiment field. Nevertheless, there is still a need to refine and enhance the current technique, especially when the hybrid simulation is used in real complex engineering structures, having numerous micro-level elements. A large number of these elements may render the relevant hybrid simulations unattainable because the time consumed in the numeral calculations can become excessive, making the testing of the loading system almost difficult to run smoothly. Practical implications The MFE model is implemented in hybrid simulation, enabling to overcome the problems related to the testing accuracy caused by the numerical substructure simplifications using only macro-level elements. Originality/value This paper is the first to recognise the advantage of the MFE analysis method in hybrid simulation and propose an innovative hybrid simulation technique, combining the MFE analysis method with hybrid simulation method to strike a delicate balance between the accuracy and efficiency of the numerical substructure simulation in hybrid simulation. With the help of the coordinated analysis of FEs at different scales, not only the accuracy and reliability of the overall seismic analysis of the structure is improved, but the computational cost can be restrained to ensure the efficiency of hybrid simulation.

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31

Menaa, Mohamed, and Aouni A. Lakis. "Free Vibration of Spherical Shells Using a Hybrid Finite Element Method." International Journal of Structural Stability and Dynamics 15, no. 04 (May 2015): 1450062. http://dx.doi.org/10.1142/s021945541450062x.

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In this study, free vibration analysis of spherical shell is carried out. The structural model is based on a combination of thin shell theory and the classical finite element method. Free vibration equations using the hybrid finite element formulation are derived and solved numerically. Therefore, the number of elements chosen is function of the complexity of the structure. Convergence is rapid. It is not necessary to choose a large number of elements to obtain good results. The results are validated using numerical and theoretical data available in the literature. The analysis is accomplished for spherical shells of different geometries, boundary conditions and radius to thickness ratios. This proposed hybrid finite element method can be used efficiently for design and analysis of spherical shells employed in high speed aircraft structures.

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32

Ghanem, R. "Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation." Journal of Applied Mechanics 65, no. 4 (December 1, 1998): 1004–9. http://dx.doi.org/10.1115/1.2791894.

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A procedure is developed to integrate analytical solutions to problems featuring random media with Monte Carlo simulations in order to improve the efficiency of the simulations. This is achieved by developing a common theoretical framework that encompasses Monte Carlo procedures as well as various expansion solution techniques. This framework can be perceived as a natural extension of hybrid deterministic finite element procedures whereby refinement is achieved by simultaneously increasing the number of elements as well as the degree of interpolation within each element.

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33

Renno, Jamil M., and Brian R. Mace. "Vibration modelling of structural networks using a hybrid finite element/wave and finite element approach." Wave Motion 51, no. 4 (June 2014): 566–80. http://dx.doi.org/10.1016/j.wavemoti.2013.09.001.

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34

Onuki, T. "Hybrid finite element and boundary element method applied to electromagnetic problems." IEEE Transactions on Magnetics 26, no. 2 (March 1990): 582–87. http://dx.doi.org/10.1109/20.106384.

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35

Koch, S., H. De Gersem, and T. Weiland. "Hybrid Finite-Element, Spectral-Element Discretization for Translatory Symmetric Model Parts." IEEE Transactions on Magnetics 44, no. 6 (June 2008): 722–25. http://dx.doi.org/10.1109/tmag.2007.915953.

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36

Yamashita, H., N. Miyamoto, and V. Cingoski. "Hybrid element-free Galerkin-finite element method for electromagnetic field computations." IEEE Transactions on Magnetics 36, no. 4 (July 2000): 1543–47. http://dx.doi.org/10.1109/20.877733.

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37

Salon, S. J., and J. D'Angelo. "Applications of the hybrid finite element-boundary element method in electromagnetics." IEEE Transactions on Magnetics 24, no. 1 (1988): 80–85. http://dx.doi.org/10.1109/20.43861.

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38

Kaewunruen, S., and O. Mirza. "Hybrid Discrete Element - Finite Element Simulation for Railway Bridge-Track Interaction." IOP Conference Series: Materials Science and Engineering 251 (October 2017): 012016. http://dx.doi.org/10.1088/1757-899x/251/1/012016.

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39

Sakai, Yuzuru, and Akihiko Yamasita. "Magnetic Field Analysis by a Hybrid Finite-Element-Boundary Element Method." JSME international journal. Ser. A, Mechanics and material engineering 38, no. 1 (January 15, 1995): 52–58. http://dx.doi.org/10.1299/jsmea1993.38.1_52.

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40

Efrati, Ron, and Dan Givoli. "Hybrid 3D-plane finite element modeling for elastodynamics." Finite Elements in Analysis and Design 210 (November 2022): 103812. http://dx.doi.org/10.1016/j.finel.2022.103812.

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41

Chou, So-Hsiang, Do Y. Kwak, and Kwang Y. Kim. "Flux Recovery from Primal Hybrid Finite Element Methods." SIAM Journal on Numerical Analysis 40, no. 2 (January 2002): 403–15. http://dx.doi.org/10.1137/s0036142900381266.

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42

Duta, M. C., A. Laird, and M. B. Giles. "Aeroacoustic analysis using a hybrid finite element method." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 219, no. 6 (January 2005): 413–20. http://dx.doi.org/10.1243/095765005x31162.

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43

Agouzal, Abdellatif. "Augmented hybrid finite element method for domain decomposition." Applicable Analysis 59, no. 1-4 (December 1995): 341–47. http://dx.doi.org/10.1080/00036819508840409.

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44

Loikkanen, Matti J. "A 4‐node thin hybrid plate finite element." Engineering Computations 2, no. 2 (February 1985): 151–54. http://dx.doi.org/10.1108/eb023614.

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45

Ben Belgacem, F., and Y. Renard. "Hybrid finite element methods for the Signorini problem." Mathematics of Computation 72, no. 243 (February 7, 2003): 1117–46. http://dx.doi.org/10.1090/s0025-5718-03-01490-x.

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46

Volakis, J. L., T. Ozdemir, and J. Gong. "Hybrid finite-element methodologies for antennas and scattering." IEEE Transactions on Antennas and Propagation 45, no. 3 (March 1997): 493–507. http://dx.doi.org/10.1109/8.558664.

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47

Chua, Lloyd H. C., and K. P. Holz. "Hybrid Neural Network—Finite Element River Flow Model." Journal of Hydraulic Engineering 131, no. 1 (January 2005): 52–59. http://dx.doi.org/10.1061/(asce)0733-9429(2005)131:1(52).

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48

Pereira, O. J. B. Almeida, J. P. Moitinho de Almeida, and E. A. W. Maunder. "Adaptive methods for hybrid equilibrium finite element models." Computer Methods in Applied Mechanics and Engineering 176, no. 1-4 (July 1999): 19–39. http://dx.doi.org/10.1016/s0045-7825(98)00328-4.

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49

Dixit, Shivanshu, and S. S. Padhee. "Finite Element Analysis of Fiber Reinforced Hybrid Composites." Materials Today: Proceedings 18 (2019): 3340–47. http://dx.doi.org/10.1016/j.matpr.2019.07.255.

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50

Ali, Benzegaou, and Brani Benabderrahmane. "Finite element simulation of the hybrid clinch joining." International Journal of Advanced Manufacturing Technology 89, no. 1-4 (July 4, 2016): 439–49. http://dx.doi.org/10.1007/s00170-016-9094-2.

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