Relevant bibliographies by topics / Hybrid finite element

Academic literature on the topic 'Hybrid finite element'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Hybrid finite element"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Hybrid finite element"

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Kang, David Sung-Soo. "Hybrid stress finite element method." Thesis, Massachusetts Institute of Technology, 1986. http://hdl.handle.net/1721.1/14973.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1986.
MICROFICHE COPY AVAILABLE IN ARCHIVES AND AERO
Bibliography: leaves 257-264.
by David Sung-Soo Kang.
Ph.D.
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Liu, Yunshan. "P-adaptive hybrid/mixed finite element method /." The Ohio State University, 1998. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487950153602937.

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Demirhisar, Umut. "A Hybrid-stress Nonuniform Timoshenko Beam Finite Element." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/2/12608992/index.pdf.

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In this thesis, a hybrid-stress finite element is developed for nonuniform Timoshenko beams. The element stiffness matrix is obtained by assuming a stress field only. Since element boundaries are simply the element nodes, a displacement assumption is not necessary. Geometric and mass stiffness matrices are obtained via equilibrium and kinematics of deformation equations which are derived in the beam arbitrary cross-section. Utilizing this method eliminates the displacement assumption for the geometric and mass stiffness matrices. The element has six degrees of freedom at each node. Axial, flexural and torsional effects are considered. The torsional and distortional warping effects are omitted. Deformations due to shear is also taken into account. Finally, some sample problems are solved with the element and results are compared with the solutions in the literature and commercial finite element programs (i.e. MSC/NASTRAN®
).
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Liu, Xiao Bin. "Finite element analysis of hybrid thermoplastic composite structures." Thesis, University of Nottingham, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.493330.

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A wide range of thermoplastic composites (TPC) are now being used in automotive applications including vehicle front-end structures, load floors, seat backs, door cassettes and instrument panels. Long fibre thermoplastics (LFT), glass mat thermoplastics (GMT) and fully structural materials such as woven commingled fabric TPCs, e.g. Twintex®, provide a range of properties and mouldability appropriate to specific applications.
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Quinelato, Thiago de Oliveira. "Mixed hybrid finite element method in elasticity and poroelasticity." Laboratório Nacional de Computação Científica, 2017. https://tede.lncc.br/handle/tede/273.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Esta tese é focada no desenvolvimento e na análise de aproximações em dimensão finita das equações que descrevem problemas de elasticidade linear e poroelasticidade. A estratégia de aproximação é baseada em formulações de elementos finitos mistas hibridas desses problemas e a construção dos espaços de dimensão finita é guiada por várias propriedades desejadas: continuidade das trações (conservação do momento linear), simetria do tensor de tensão (conservação do momento angular), número reduzido de graus de liberdade globais e robustez sob distorção de malha. A principal dificuldade está relacionada com o atendimento simultâneo da condição inf-sup e da simetria do tensor de tensão. O ultimo requisito é relaxado, sendo satisfeito de maneira fraca pela introdução de um multiplicador de Lagrange. A maior contribuição é o desenvolvimento e a análise de espaços de dimensão finita estáveis para aproximação mista dos problemas de elasticidade linear e poroelasticidade em malhas quadrilaterais arbitrárias. Esses espaços são capazes de fornecer convergência com taxa ótima do campo de tensão na norma H(div) em malhas de quadriláteros arbitrários, o que é provado pela análise numérica e confirmado por experimentação.
This thesis is focused on the development and analysis of finite dimensional approximations of the equations describing linear elasticity and poroelasticity problems. The approximation strategy is based on mixed hybrid finite element formulations of those problems and the construction of the finite dimensional spaces is guided by several desired properties: continuity of the tractions (conservation of linear momentum), symmetry of the stress tensor (conservation of angular momentum), reduced number of global degrees of freedom, and robustness under mesh distortion. The main difficulty is related with the simultaneous fulfillment of the inf-sup condition and the symmetry of the stress tensor. The last requirement is relaxed, being enforced in the weak sense through the introduction of a Lagrange multiplier. The main contribution is the development and analysis of stable finite dimensional spaces for mixed approximation of linear elasticity and poroelasticity problems on arbitrary quadrilateral meshes. These spaces are capable of providing optimal order convergence of the stress field in the H(div)-norm on meshes of arbitrary quadrilaterals, which is proved by numerical analysis and confirmed by experimentation.
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Fan, Yuanji. "3D Finite Element Analysis of a Hybrid Stepper Motor." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-278496.

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Hybrid stepper motors are being applied to more and more industrial regionsdue to their low cost compared with servo motors and prominent performance.Many industrial applications require accurate and eective methods for predictinga motor’s performance at the design stage. The geometry of the motorsis complicated and the magnetic saturation eect is also serious, giving riseto the diculty of understanding the transient behavior of the motors. Furthermore,the drive circuit and control algorithm are more sophisticated thanthose of traditional AC or DC motors. Lastly, the losses of the motors createthe rising of temperature, while the thermal eect and dynamic performanceaect each other.All these factors can be solved by simulating a hybrid stepper motor witha model combining the eect of electromagnetic field, control algorithm, andmotor loss together. In this thesis, a three-dimension (3D) finite elementmodel is developed in the software Maxwell for studying motor characteristics.The electromagnetic field is analyzed in a static state. The simulatedback electromagnetic force is verified by experiments. The feasibility of fullstepcontrol algorithm is analyzed. The vector control algorithm is applied tothe model through co-simulation of Simulink and Maxwell in Simplorer. The3D model is proved to be unrealistic for co-simulation. In the end, this thesissummarizes the modeling experience and gives recommendations on thetransient simulation of the motor.
Hybridstegsmotorer appliceras i fler ochfler industriapplikationer tack vare deras låga kostnad och förbättrad prestanda jämfört med servomotorer. Många branschapplikationer kräver exakta och effektiva metoder för att förutsäga motorns prestanda redan i konstruktionsstadiet. Motorns geometri är komplicerad och den magnetiska mättnadseffekten är också betydande, vilket försvårar modelleringen. Dessutom är drivkretsen och styralgoritmen mer sofistikerad än den för traditionella växeleller likströmsmotorer. Vidare så resulterar motorns förluster i temperaturökningar vilka påverkar dynamiska.Alla dessa faktorer kan studeras genom att simulera hybrida stegmotorer med en modell som kombinerar effekten av elektromagnetiskt fält, kontrollalgoritm och motorförluster tillsammans. I detta examensarbete utvecklas en tredimensionell finit elementmodell i programvaran Maxwell för att studera motorns elektromagnetiska egenskaper. Det elektromagnetiska fältet analyseras i ett statiskt tillstånd. Den beräknade mot-EMK:n har verifieras genom experiment. Vektorkontrollalgoritmen tillämpas på modellen genom samsimulering i Simulink och Maxwell i Simplorer. Den tredimensionella modellen visade sig vara orealistisk för samsimulering. Till sist summeras uppnådaerfarenheter och rekommendationer för fortsatt arbete ges.
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Tsoi, Sai Hong. "On a hybrid finite element with weak Kirchhoff assumption." HKBU Institutional Repository, 2000. http://repository.hkbu.edu.hk/etd_ra/218.

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Meyer, Frans J. C. (Frans Johannes Christiaan). "Hybrid Finite Element/Boundary Element solutions of general two dimensional electromagnetic scattering problems." Thesis, Stellenbosch : Stellenbosch University, 1991. http://hdl.handle.net/10019.1/69271.

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Thesis (MEng) -- University of Stellenbosch, 1991.
ENGLISH ABSTRACT: A two-dimensional Coupled Element Method (CEM) for solving electromagnetic scattering problems involving lossy, inhomogeneous, arbitrarily shaped cylinders, was investigated and implemented. The CEM uses the Finite Element Method (FEM) to approximate the fields in and around the scatterer and the Boundary Element Method (BEM) to approximate the far-field values. The basic CEM theory is explained using the special, static electric field problem involving the solution of Laplace's equation. This theory is expanded to incorporate scattering problems, involving the solution of the Helmholtz equation. This is done for linear as well as quadratic elements. Some of the important algorithms used to implement the CEM theory are discussed. Analytical solutions for a round, homogeneous- and one layer coated PC cylinder are discussed and obtained. The materials used in these analytical solutions can be lossy as well as chiral. The CEM is validated by comparing near- and far-field results to the analytical solution. A comparison between linear and quadratic elements is also made. The theory of the CEM is further expanded to incorporate scattering from chiral media
AFRIKAANSE OPSOMMING: 'n Gekoppelde Element Metode (GEM) wat elektromagnetiese weerkaatsingsprobleme, van verlieserige, nie-homogene, arbitrere voorwerpe kan oplos, is ondersoek en geimplimenteer. Die GEM gebruik die Eindige Element Metode (EEM) om die velde in en om die voorwerp te benader. 'n Grenselementmetode word gebruik om die vervelde te benader. Die basiese teorie van die GEM word verduidelik deur die toepassing daarvan op die spesiale geval van 'n statiese elektriese veld- probleem. Hierdie probleem verlang die oplossing van Laplace se vergelyking. Die teorie word uitgebrei om weerkaatsingsprobleme te kan hanteer. Die weerkaatsingsprobleme verlang die oplossing van 'n Helmholtz-vergelyking. Hierdie teorie word ontwikkel vir lineere sowel as kwadratiese elemente. Van die belangrike algoritmes wat gebruik is om die GEM-teorie te implimenteer, word bespreek. Analietise oplossings vir ronde, homogene en eenlaag bedekte perfek geleidende silinders word bespreek en verkry. Die material wat in die oplossings gebruik word, kan verlieserig of kiraal wees. Die GEM word bekragtig deur naby- en verveld resultate te vergelyk met ooreenkomstige aitalitiese oplossings. Die lineere en kwadratiese element- resultate word ook met mekaar vergelyk. Die GEM-teorie is verder uitgebrei sodat weerkaatsing vanaf kirale materiale ook hanteer kan word.
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Zheng, Hui. "Application of the hybrid finite element procedure to crack band propagation." Ohio : Ohio University, 1987. http://www.ohiolink.edu/etd/view.cgi?ohiou1183125160.

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Riyait, Navtej Singh. "Anisotropic scattering, voids and hybrid principles in finite element neutron transport." Thesis, Imperial College London, 1988. http://hdl.handle.net/10044/1/47228.

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Books on the topic "Hybrid finite element"

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Brezzi, F. Mixed and hybrid finite element methods. New York: Springer-Verlag, 1991.

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Pian, Theodore H. H. Hybrid and incompatible finite element methods. Boca Raton: Chapman & Hall/CRC, 2005.

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Brezzi, Franco, and Michel Fortin, eds. Mixed and Hybrid Finite Element Methods. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-3172-1.

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1945-, Fortin Michel, ed. Mixed and hybrid finite elements methods. New York: Springer-Verlag, 1991.

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Volakis, John Leonidas. Frequency domain hybrid finite element methods for electromagnetics. [San Rafael, CA]: Morgan & Claypool Publishers, 2007.

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Volakis, John L., Kubilay Sertel, and Brian C. Usner. Frequency Domain Hybrid Finite Element Methods for Electromagnetics. Cham: Springer International Publishing, 2006. http://dx.doi.org/10.1007/978-3-031-01694-3.

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Lakis, A. A. Hybrid finite element analysis of circular and annular plates. Montréal, Québec, Canada: Dept. of Mechanical Engineering, École polytechnique de Montréal, Campus de l'Université de Montréal, 1995.

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Jin, Jian-Ming. Scattering and radiation analysis of three-dimensional cavity arrays via a hybrid finite element method. Ann Arbor, Mich: University of Michigan, Radiation Laboratory, Dept. of Electrical Engineering and Computer Science, 1992.

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Jin, Jian-Ming. Scattering and radiation analysis of three-dimensional cavity arrays via a hybrid finite element method. Ann Arbor, Mich: University of Michigan, Radiation Laboratory, Dept. of Electrical Engineering and Computer Science, 1992.

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1959-, Feng Wei, ed. Hybrid finite element method for stress analysis of laminated composites. Boston: Kluwer Academic Publishers, 1998.

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Book chapters on the topic "Hybrid finite element"

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Van Hoa, Suong, and Wei Feng. "The Hybrid Finite Element Method." In Hybrid Finite Element Method for Stress Analysis of Laminated Composites, 41–77. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5733-3_2.

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Quiza, Ramón, Omar López-Armas, and J. Paulo Davim. "Finite Element in Manufacturing Processes." In Hybrid Modeling and Optimization of Manufacturing, 13–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28085-6_2.

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Sacco, Riccardo. "Numerical Simulation of Thermal Oxidation Process in Semiconductor Devices Using Mixed—Hybrid Finite Elements." In Mixed Finite Element Technologies, 107–30. Vienna: Springer Vienna, 2009. http://dx.doi.org/10.1007/978-3-211-99094-0_4.

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D’Angelo, J. "Hybrid Finite Element/Boundary Element Analysis of Electromagnetic Fields." In Electromagnetic Applications, 151–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83680-0_6.

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Volakis, John L., Jian Gong, and Tayfun Ozdemir. "Large Hybrid Finite Element Methods for Electromagnetics." In ICASE/LaRC Interdisciplinary Series in Science and Engineering, 252–87. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5584-7_12.

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Zhang, J., and N. Katsube. "A Hybrid Finite Element Method for Cracks." In Computational Mechanics ’95, 2075–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79654-8_345.

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Ali, Ashraf, and Dale Ostergaard. "Implementation of FE-BE Hybrid Techniques into Finite Element Programs." In Boundary Element Methods, 11–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-06153-4_2.

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Pian, T. H. H. "Constraints of Stresses in Hybrid Plate and Shell Elements." In Finite Element Methods for Nonlinear Problems, 249–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82704-4_14.

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Volakis, John L., Kubilay Sertel, and Brian C. Usner. "Two-Dimensional Hybrid FE-BI." In Frequency Domain Hybrid Finite Element Methods for Electromagnetics, 25–50. Cham: Springer International Publishing, 2006. http://dx.doi.org/10.1007/978-3-031-01694-3_2.

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Vanderstraeten, D., F. X. Roux, and R. Keunings. "A hybrid parallel solver for finite element computations." In High-Performance Computing and Networking, 586–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61142-8_600.

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Conference papers on the topic "Hybrid finite element"

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"Stress Hybrid Embedded Crack Element Analysis for Concrete Fracture." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11646.

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Mirotznik, Mark S., Dennis W. Prather, and Joseph N. Mait. "Hybrid finite element-boundary element method for vector modeling diffractive optical elements." In Photonics West '96, edited by Ivan Cindrich and Sing H. Lee. SPIE, 1996. http://dx.doi.org/10.1117/12.239620.

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Tuncer, O., B. Shanker, and L. C. Kempel. "A hybrid finite element – Vector generalized finite element method for electromagnetics." In 2010 IEEE International Symposium Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting. IEEE, 2010. http://dx.doi.org/10.1109/aps.2010.5561926.

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Pan Seok Shin, K. A. Connor, and S. J. Salon. "Hybrid finite element-boundary element solutions of waveguide problems." In International Magnetics Conference. IEEE, 1989. http://dx.doi.org/10.1109/intmag.1989.690252.

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Prather, Dennis W., Mark S. Mirotznik, and Joseph N. Mait. "Design of subwavelength diffractive optical elements using a hybrid finite element-boundary element method." In Photonics West '96, edited by Ivan Cindrich and Sing H. Lee. SPIE, 1996. http://dx.doi.org/10.1117/12.239612.

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Lochner, Nash, and Marinos N. Vouvakis. "Finite Element Boundary Element Hybrid via Direct Domain Decomposition Method." In 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting. IEEE, 2020. http://dx.doi.org/10.1109/ieeeconf35879.2020.9329635.

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Beilina, L., Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Hybrid Discontinuous Finite Element∕Finite Difference Method for Maxwell’s Equations." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498465.

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Tahmasebimoradi, Ahmadali, Chetra Mang, and Xavier Lorang. "A Numerical Hybrid Finite Element Model for Lattice Structures Using 3D/Beam Elements." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-69119.

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Abstract In this work, a numerically hybrid model is presented for the lattice structures to reduce the computational cost of the simulations. This approach consists of utilization of solid elements for the junctions and beam elements for the microbeams connecting the corresponding junctions to each other. To take into account the geometric defects, for each microbeam of the lattice structures, an ellipse is fitted to capture the effect of shape variation and roughness. Having the parameters of the ellipses, the lattice structures are constructed in Spaceclaim (ANSYS) using the geometrical hybrid approach. When the global response of the structure is linear, the results from the hybrid models are in good agreement with the ones from the 3D models. However, the hybrid models have difficulty to converge when the effect of large deformation and local plasticity are considerable in the BCCZ structures. For BCCZ lattice structures, the results are not affected by the junction’s size. This is also valid for BCC lattice structures as long as the ratio of the junction’s size to the diameter of the microbeams is greater than 2.
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Reza, M. A., N. E. Shanmugam, W. H. Wan Badaruzzaman, and Rajesh P. Dhakal. "Finite Element Analysis of Connections in Composite Construction." In 10th International Conference on Advances in Steel Concrete Composite and Hybrid Structures. Singapore: Research Publishing Services, 2012. http://dx.doi.org/10.3850/978-981-07-2615-7_074.

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Xu, Lei. "Finite Element Mesh Based Hybrid Monte Carlo Micromagnetics." In 2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG). IEEE, 2022. http://dx.doi.org/10.1109/compumag55718.2022.9827522.

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Reports on the topic "Hybrid finite element"

1

Saether, Erik. Minimization of Computational Requirements in the Hybrid Stress Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, February 1994. http://dx.doi.org/10.21236/ada277120.

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Pingenot, J., and V. Jandhyala. Final Report for Time Domain Boundary Element and Hybrid Finite Element Simulation for Maxwell's Equations. Office of Scientific and Technical Information (OSTI), March 2007. http://dx.doi.org/10.2172/902353.

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3

McGrath, Daniel T. Extension of the Periodic Hybrid Finite Element Method for External Stratified Dielectrics. Fort Belvoir, VA: Defense Technical Information Center, March 1998. http://dx.doi.org/10.21236/ada342241.

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4

Cook, W. A. Generalized finite strains, generalized stresses, and a hybrid variational principle for finite-element computer programs using curvilinear coordinates. Office of Scientific and Technical Information (OSTI), April 1989. http://dx.doi.org/10.2172/6288515.

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5

T.F. Eibert, J.L. Volakis, and Y.E. Erdemli. Hybrid Finite Element-Fast Spectral Domain Multilayer Boundary Integral Modeling of Doubly Periodic Structures. Office of Scientific and Technical Information (OSTI), March 2002. http://dx.doi.org/10.2172/821699.

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Jin, Jianming. High-Order Hybrid Finite Element Technology for Simulation of Large-Scale Array Antennas Embedded in Inhomogeneous Media. Fort Belvoir, VA: Defense Technical Information Center, November 2004. http://dx.doi.org/10.21236/ada427847.

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Gwo, J. P., P. M. Jardine, G. T. Yeh, and G. V. Wilson. Murt user`s guide: A hybrid Lagrangian-Eulerian finite element model of multiple-pore-region solute transport through subsurface media. Office of Scientific and Technical Information (OSTI), April 1995. http://dx.doi.org/10.2172/92060.

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8

Zheng, Jinhui, Matteo Ciantia, and Jonathan Knappett. On the efficiency of coupled discrete-continuum modelling analyses of cemented materials. University of Dundee, December 2021. http://dx.doi.org/10.20933/100001236.

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Computational load of discrete element modelling (DEM) simulations is known to increase with the number of particles. To improve the computational efficiency hybrid methods using continuous elements in the far-field, have been developed to decrease the number of discrete particles required for the model. In the present work, the performance of using such coupling methods is investigated. In particular, the coupled wall method, known as the “wall-zone” method when coupling DEM and the continuum Finite Differences Method (FDM) using the Itasca commercial codes PFC and FLAC respectively, is here analysed. To determine the accuracy and the efficiency of such a coupling approach, 3-point bending tests of cemented materials are simulated numerically. To validate the coupling accuracy first the elastic response of the beam is considered. The advantage of employing such a coupling method is then investigated by loading the beam until failure. Finally, comparing the results between DEM, DEM-FDM coupled and FDM models, the advantages and disadvantages of each method are outlined.
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Selvaraju, Ragul, Hari Shankar, and Hariharan Sankarasubramanian. Metamodel Generation for Frontal Crash Scenario of a Passenger Car. SAE International, September 2020. http://dx.doi.org/10.4271/2020-28-0504.

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A frontal impact scenario was simulated using a Finite Element Model of a Hybrid III 50th percentile male (LSTC, Livermore CA) along with seatbelt, steering system and driver airbags. The boundary conditions included acceleration pulse to the seat and the outputs including injury measures in terms of Head Injury Criterion (HIC), Normalized Neck Injury Criterion (NIJ) and Chest Severity Index (CSI) were extracted from the simulations. The kinematics of the Hybrid III were validated against the kinematics of post mortem human surrogates (PMHS) available in the literature. Using the validated setup, metamodels were generated by creating a design of varying different parameters and recording the responses for each design. First, the X and Z translation of dummy along the seat is provided as input for which there was no variation in the head injury criterion (HIC). Next, the input pulse to the seat is parameterized along with the seatbelt loading and the results are obtained respectively. The outputs, in terms of injury measures, are generated in the form of metamodels as a function of the parameters. The occupant model used for the frontal crash scenario in LS-Dyna is validated against the previously available crash experimental data. A total of 100 design points was generated with a varying combination of parameters. An increase in various injury measures was observed with an increase in the scale factor of the acceleration pulse. Also, it was found that chest severity index increased with an increase in the scale factor of the seat belt loading force.
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Selvaraju, Ragul, Hari Shankar, and Hariharan Sankarasubramanian. Metamodel Generation for Frontal Crash Scenario of a Passenger Car. SAE International, September 2020. http://dx.doi.org/10.4271/2020-28-0504.

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Abstract:
A frontal impact scenario was simulated using a Finite Element Model of a Hybrid III 50th percentile male (LSTC, Livermore CA) along with seatbelt, steering system and driver airbags. The boundary conditions included acceleration pulse to the seat and the outputs including injury measures in terms of Head Injury Criterion (HIC), Normalized Neck Injury Criterion (NIJ) and Chest Severity Index (CSI) were extracted from the simulations. The kinematics of the Hybrid III were validated against the kinematics of post mortem human surrogates (PMHS) available in the literature. Using the validated setup, metamodels were generated by creating a design of varying different parameters and recording the responses for each design. First, the X and Z translation of dummy along the seat is provided as input for which there was no variation in the head injury criterion (HIC). Next, the input pulse to the seat is parameterized along with the seatbelt loading and the results are obtained respectively. The outputs, in terms of injury measures, are generated in the form of metamodels as a function of the parameters. The occupant model used for the frontal crash scenario in LS-Dyna is validated against the previously available crash experimental data. A total of 100 design points was generated with a varying combination of parameters. An increase in various injury measures was observed with an increase in the scale factor of the acceleration pulse. Also, it was found that chest severity index increased with an increase in the scale factor of the seat belt loading force.
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