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1

Tecusan, Remus, and Konrad Zilch. "Sicherheitsaspekte bei nicht-linearen FEM Berechnungen/Safety aspects in non-linear FEM calculations." Bauingenieur 92, no. 12 (2017): 518–27. http://dx.doi.org/10.37544/0005-6650-2017-12-34.

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Анотація:
Das semiprobabilistische Sicherheitskonzept mit Teilsicherheitsbeiwerten, welches der Nachweisführung in den aktuell gültigen Normen zu Grunde liegt, ist für lineare Schnittgrößenermittlung und Querschnittsbemessung gut geeignet. Bei nicht-linearen Finite-Elemente-Berechnungen lässt sich das wirkliche Tragverhalten eines konkreten Bauwerks oder Versuchs mit Materialparameter auf Mittelwertniveau am realistischsten simulieren. Deshalb ist es noch unklar, ob sich das Sicherheitskonzept mit Teilsicherheitsbeiwerten ohne Weiteres auf nicht-lineare Finite-Elemente-Berechnungen übertragen lässt. Durch den Einsatz von Bemessungswerten für Materialparameter in einer nicht-linearen Finite-Elemente-Berechnungen kann das Tragverhalten (Rissbildung, Umlagerungseffekte) eines Bauwerks oder Bauteils nicht wirklichkeitsnah abgebildet werden. Für nicht-lineare Finite-Elemente-Berechnungen gibt es eine Reihe von Sicherheitskonzepten, die mehr oder minder hohe Sicherheitsniveaus aufweisen. Dabei spielen die Eingangswerte einer nicht-linearen Finite-Elemente-Berechnung eine wesentliche Rolle für das erzielte Bemessungsniveau. Dazu muss noch beachtet werden, dass bei den angewendeten Sicherheitskonzepten alle Unsicherheiten durch entsprechende Sicherheitsfaktoren erfasst und abgedeckt werden.
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2

Annasiwaththa, Buddhika, and Koichi Oka. "B206 Initial design and FEM analysis of a non-contact power transfer method for magnetically levitated linear slider." Proceedings of the Symposium on the Motion and Vibration Control 2015.14 (2015): 297–301. http://dx.doi.org/10.1299/jsmemovic.2015.14.297.

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3

Sin, F. S., D. Schroeder, and J. Barbič. "Vega: Non-Linear FEM Deformable Object Simulator." Computer Graphics Forum 32, no. 1 (November 23, 2012): 36–48. http://dx.doi.org/10.1111/j.1467-8659.2012.03230.x.

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4

Alotto, P., A. Castagnini, P. Girdinio, and M. Nervi. "Adaptive FEM in 3D non‐linear magnetostatics." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 19, no. 1 (March 2000): 39–48. http://dx.doi.org/10.1108/03321640010302780.

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5

Kim, Jung-Ho, Chi-Joong Kim, Cheon-Seok Cha, and Ji-Hoon Kim. "Recalculation Research of Material properties for CFRP FEM Non-linear Analysis." Journal of manufacturing engineering & technology 21, no. 4 (August 15, 2012): 608–12. http://dx.doi.org/10.7735/ksmte.2012.21.4.608.

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6

Chekhov, V. V. "Tensor-based matrices in geometrically non-linear FEM." International Journal for Numerical Methods in Engineering 63, no. 15 (2005): 2086–101. http://dx.doi.org/10.1002/nme.1343.

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7

Honda, Riki, Hisakazu Sakai, and Sumio Sawada. "Non-iterative time integration scheme for non-linear dynamic FEM analysis." Earthquake Engineering & Structural Dynamics 33, no. 1 (December 19, 2003): 111–32. http://dx.doi.org/10.1002/eqe.341.

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8

NAGAI, Gakuji, and Hideki GOTOH. "Non-linear Elastic Constitutive Law for Magneto-strictive FEM." Proceedings of The Computational Mechanics Conference 2014.27 (2014): 407–8. http://dx.doi.org/10.1299/jsmecmd.2014.27.407.

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9

Pecník, Miroslav, Viktor Borzovič, and Kamil Laco. "Non-Linear FEM Analysis of Integral Bridges Transition Area." Solid State Phenomena 259 (May 2017): 152–57. http://dx.doi.org/10.4028/www.scientific.net/ssp.259.152.

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Анотація:
The transition area of bridges is non-homogeneous solid, which consists of soil embankment, transition slab and roadway layers. These transition area elements consist of various materials with different properties. Besides the imposed loads, behavior of these areas is significantly affected by uneven settlement between the bridge abutment and soil embankment. In case of integral bridges horizontal movements of a bridge caused mostly by temperature and ongoing rheological phenomena in concrete have to be taken into account. This leads to abutment deformation in combination with time dependent soil consolidation it results in varying earth pressure over the bridges lifetime together with cyclic horizontal movements of the pavement resulting in its cracks and excessive deformations. In this paper, comparison of different approaches to finite element analysis of transition areas is presented. First analysis was performed using area elements to represent the bridge structure, and volume elements to represent embankment, while second analysis was performed in more conservative way using spring based method proposed by Křížek[3], as representation of the surrounding soil. Results obtained via both methods are compared with each other as well as with data obtained from experimental measurment of a transition area conducted in Switzerland [1].
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10

De Luca, V., and A. Della Chiesa. "A Creep Non-Linear FEM Analysis of Glulam Timber." Mechanics of Advanced Materials and Structures 20, no. 6 (June 2013): 489–96. http://dx.doi.org/10.1080/15376494.2011.627643.

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11

Kompiš, Vladimı́r, Milan Toma, Milan Žmindák, and Marián Handrik. "Use of Trefftz functions in non-linear BEM/FEM." Computers & Structures 82, no. 27 (October 2004): 2351–60. http://dx.doi.org/10.1016/j.compstruc.2004.04.006.

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12

Chen, Min Feng, Zhi Bo Huang, and Zong Sheng Gao. "Meromorphic solutions of three certain types of non-linear difference equations." AIMS Mathematics 6, no. 11 (2021): 11708–22. http://dx.doi.org/10.3934/math.2021680.

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Анотація:
<abstract><p>In this paper, the representations of meromorphic solutions for three types of non-linear difference equations of form</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ f^{n}(z)+P_{d}(z, f) = u(z)e^{v(z)}, $\end{document} </tex-math></disp-formula></p> <p><disp-formula> <label/> <tex-math id="FE2"> \begin{document}$ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\lambda z}+p_{2}e^{-\lambda z} $\end{document} </tex-math></disp-formula></p> <p>and</p> <p><disp-formula> <label/> <tex-math id="FE3"> \begin{document}$ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\alpha_{1}z}+p_{2}e^{\alpha_{2}z} $\end{document} </tex-math></disp-formula></p> <p>are investigated, where $ n\geq 2 $ is an integer, $ P_{d}(z, f) $ is a difference polynomial in $ f $ of degree $ d\leq n-1 $ with small coefficients, $ u(z) $ is a non-zero polynomial, $ v(z) $ is a non-constant polynomial, $ \lambda, p_{j}, \alpha_{j}\; (j = 1, 2) $ are non-zero constants. Some examples are also presented to show our results are best in certain sense.</p></abstract>
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13

Iatan, George Ciprian, Elisabeta Burlacu, and Leonard Dmnişoru. "Non-linear FEM analysis for ship panels under thermal loads." Analele Universităţii "Dunărea de Jos" din Galaţi. Fascicula XI, Construcţii navale/ Annals of "Dunărea de Jos" of Galati, Fascicle XI, Shipbuilding 43 (December 15, 2020): 95–102. http://dx.doi.org/10.35219/annugalshipbuilding.2020.43.12.

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Анотація:
During the past decade, welding remained the main technological procedure for joining steel components in shipbuilding industry. Though it has great benefits, welding is an aggressive process that introduces high stress and strains in the joined materials, causing distortion. Finite element method is an important instrument for predicting how structures are behaving under thermal loads. This paper is focused on studying the behaviour of small thickness ship panels, under straightening treatment, by performing thermal-structural-elastic-plastic analysis in Femap/NX Nastran. The proposed panel is tested under three different thermal loadings in order to study stresses and residual distortion.
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14

Zhao, Jun, Li Jun Wang, and Dan Ying Gao. "Non-Linear FEM Analysis of Steel Fiber Reinforced Concrete Shearwall." Advanced Materials Research 163-167 (December 2010): 1551–54. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.1551.

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Анотація:
The numerical simulation by nonfinear finite element method(FEM) was adopted to analyze the behavior and the influences of the fraction of steel fiber by volume fraction and the strength of steel fiber reinforced concrete on the bearing capacity and the ductility of reinforced concrete shearwalls. The results show that with the increase of the fraction of steel fiber by volume fraction, the bearing capacity and ductility coefficient of steel fiber reinforced concrete shearwalls increase gradually. With the increase of the strength of steel fiber reinforced concrete, the bearing capacity and ductility coefficient of steel fiber reinforced concrete shearwalls decrease. It proves the rationality of the unit type, stress-strain relation of material and failure criteria used in the finite element analysis model.
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15

Righi, L. A., P. I. Koltermann, N. Sadowski, J. P. A. Bastos, R. Carlson, A. Kost, L. Janicke, and D. Lederer. "Non-linear magnetic field analysis by FEM using Langevin function." IEEE Transactions on Magnetics 36, no. 4 (July 2000): 1263–66. http://dx.doi.org/10.1109/20.877670.

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16

Coda, Humberto Breves. "A solid-like FEM for geometrically non-linear 3D frames." Computer Methods in Applied Mechanics and Engineering 198, no. 47-48 (October 2009): 3712–22. http://dx.doi.org/10.1016/j.cma.2009.08.001.

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17

Teranishi, T., Hironobu Nisitani, and Kuniharu Ushijima. "Application of Non-Linear Notch Mechanics to Biaxial Stress Problems." Key Engineering Materials 324-325 (November 2006): 1131–34. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.1131.

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Анотація:
In this study, it was made clear that the non-linear notch mechanics is useful not only in the case of uniaxial tension but also in the case of biaxial tension. The difference of both cases is as follows. In the former the plastic strain field near a notch root is determined by εp y0,FEM (plastic strain at a notch root) and ρ (notch root radius) alone, but in the latter case it is determined by εp y0,FEM, ρ and stress ratio k=σxn/σyn.
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18

Barmpatza, Alexandra C., and Joya C. Kappatou. "Finite Element Method Investigation and Loss Estimation of a Permanent Magnet Synchronous Generator Feeding a Non-Linear Load." Energies 11, no. 12 (December 4, 2018): 3404. http://dx.doi.org/10.3390/en11123404.

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Анотація:
The purpose of this paper is the performance investigation of a Permanent Magnet Synchronous Generator (PMSG) system, suitable for wind power applications and the comparison of the machine electromagnetic characteristics under open and closed control loop implementations. The copper and iron losses are estimated and compared for the above control systems with the use of the Steinmetz-Bertotti loss separation equation. In addition, the effect of the rotating magnetic field on the total losses is studied. The generator is simulated using Finite Element Analysis (FEA), while the rest of the components are connected to the machine model using a drawing window of the FEA software and suitable command files. The close loop control used in the present study results to less losses and greater machine efficiency. The main novelty of the paper is the simulation of the PMSG coupled with a converter and control schemes using FEA, which ensures more accurate results of the whole system and allows the detailed machine electromagnetic study, while the majority of existing papers on this topic uses simulation tools that usually simulate in detail the electric circuits but not the machine. The FEM model is validated by experimental results.
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19

Sun, Zhe, Guang-Jun Liu, Li Zou, Hao Zheng, and Kamal Djidjeli. "Investigation of Non-Linear Ship Hydroelasticity by CFD-FEM Coupling Method." Journal of Marine Science and Engineering 9, no. 5 (May 9, 2021): 511. http://dx.doi.org/10.3390/jmse9050511.

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Анотація:
With the increase of ship size, the stiffness of the hull structure becomes smaller. This means that the frequency of wave excitation tends to be closer to the natural frequency of the hull vibration, which in turn makes the hydroelastic responses more significant. An accurate assessment of the wave loads and motion responses of hulls is the key to ship design and safety assessment. In this paper, the coupled CFD (Computational Fluid Dynamics)-FEM (Finite Element Method) method is used to investigate the non-linear hydroelasticity effect of a 6750-TEU (Twenty-foot Equivalent Unit) container ship. First, by comparing the heave, pitch, and vertical bending moment at midship section (VBM4) against experimental results reported in the literature, the validity of the numerical method in this paper is illustrated. Secondly, the ship responses under different wave length–ship length ratio, wave frequency-structure natural frequency, wave steepness, and ship speeds are studied. It is found that the wave length–ship length ratio has a more important influence on the hydroelastic response than that from wave frequency-structure natural frequency ratio, and the effect of wave non-linearity will behave differently under different wave length–ship length ratio. The increase of rigid body motion caused by forward speed will not correspondingly increase the non-linearity of the hydroelastic response.
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20

del Coz Díaz, J. J., P. J. García Nieto, D. Castro Fresno, and E. Blanco Fernández. "Non-linear analysis of cable networks by FEM and experimental validation." International Journal of Computer Mathematics 86, no. 2 (February 2009): 301–13. http://dx.doi.org/10.1080/00207160801965339.

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21

SAKURAI, Masato, Tomoya MATSUI, and Hiroshi KURAMOTO. "NON-LINEAR FEM ANALYSIS FOR RC SHEAR WALLS WITH MULTI-OPENINGS." Journal of Structural and Construction Engineering (Transactions of AIJ) 74, no. 639 (2009): 915–23. http://dx.doi.org/10.3130/aijs.74.915.

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22

Dias, A. M. P. G., J. W. Van de Kuilen, S. Lopes, and H. Cruz. "A non-linear 3D FEM model to simulate timber–concrete joints." Advances in Engineering Software 38, no. 8-9 (August 2007): 522–30. http://dx.doi.org/10.1016/j.advengsoft.2006.08.024.

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23

Park, Chan-Yuk, Jin-Ho Sung, and Jong-Seob Jeong. "Design and Fabrication of Linear-Array Ultrasonic Transducer Using KLM and FEM Simulation for Non-Destructive Testing." Journal of the Korean Society for Nondestructive Testing 35, no. 2 (April 30, 2015): 120–27. http://dx.doi.org/10.7779/jksnt.2015.35.2.120.

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24

Viale, Nicola, Giulio Ventura, Paulo B. Lourenço, and Javier Ortega. "Linear and non-linear FEM analyses to assess a shear flat-jack test for masonries." Journal of Building Engineering 43 (November 2021): 103169. http://dx.doi.org/10.1016/j.jobe.2021.103169.

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25

Wang, Ya Jun, Yu Hu, Zheng Zuo, Xiao Qing Gan, and Zhi Hong Dong. "Stochastic Finite Element Theory Based on Visco-Plasto Constitution." Advanced Materials Research 663 (February 2013): 672–75. http://dx.doi.org/10.4028/www.scientific.net/amr.663.672.

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Анотація:
Most geo-engineering cases have non-linearity. Particularly, the material non-linearity is an important character of geo-engineering cases. Due to the randomness of materials’ spatial variation as well as boundary conditions’ fluctuation, these cases’ study incorporates stochastic theory. Stochastic finite element method is applicable for the randomness. The visco-plasto constitution is helpful for non-linear stochastic FEM application. The algorithm for non-linear stochastic FEM was established.
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26

Jankowski, Robert. "Non-linear FEM analysis of pounding-involved response of buildings under non-uniform earthquake excitation." Engineering Structures 37 (April 2012): 99–105. http://dx.doi.org/10.1016/j.engstruct.2011.12.035.

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27

Parida, Smita, and Sukesh Chandra Mohanty. "Vibration analysis of FG rotating plate using nonlinear-FEM." Multidiscipline Modeling in Materials and Structures 15, no. 1 (January 7, 2019): 26–49. http://dx.doi.org/10.1108/mmms-11-2017-0141.

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Анотація:
Purpose The purpose of this paper is to investigate the linear and non-linear free vibration of a functionally graded material (FGM) rotating cantilever plate in the thermal environment. The study employs the development of a non-linear mathematical model using the higher order shear deformation theory in which the traction free condition is applied to derive the simplified displacement model with seven field variables instead of nine. Design/methodology/approach A mathematical model is developed based on the higher order shear deformation theory using von-Karman type non-linearity. The rotating plate domain has been discretized into C0 eight-noded quadratic serendipity elements with node wise 7 degrees of freedom. The material properties are considered temperature dependent and graded along the thickness direction obeying a simple power law distribution in terms of the volume fraction of constituents, based on Voigt’s micromechanical method. The governing equations are derived using Hamilton’s principle and are solved using the direct iterative method. Findings The importance of the present mathematical model developed for numerical analysis has been stated through the comparison studies. The results provide an insight into the vibration response of FGM rotating plate under thermal environment. The influence of various parameters like setting angle, volume fraction index, hub radius, rotation speed parameter, aspect ratio, side-thickness ratio and temperature gradient on linear and non-linear frequency parameters is discussed in detail. Originality/value A non-linear mathematical model is newly developed based on C0 continuity for the functionally graded rotating plate considering the 1D Fourier equation of heat conduction. The present findings can be utilized for the design of rotating plates made up of a FGM in the thermal environment under real-life situations.
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28

Meloni, Daniel, and Barbara de Nicolo. "Non Linear Fem Modelling for the Design of Openings in Masonry Walls." Key Engineering Materials 747 (July 2017): 44–51. http://dx.doi.org/10.4028/www.scientific.net/kem.747.44.

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Анотація:
Countries like Italy have to face the constant issue of preserving and renewing existing buildings, both for the sake of conservation of the architectural and monumental heritage and due to the need of requalification and reuse. Considering the seismic hazard of most of Italian regions, structural interventions need to be carefully evaluated since National Codes don’t allow any sort of weakening of buildings and conversely regard any structural intervention as an opportunity to improve existing building safety. Most of existing and historical buildings in Italy are masonry structures, whose functional and architectonical requalification usually consists of new openings in masonry walls, but, according to the above mentioned principles, these modifications need to be designed at least without significantly affecting the pre-existent structural behavior. Thus, steel or reinforced concrete frames are to be designed in order to restore the previous conditions of masonry integrity. In this paper FEM analyses are performed and discussed in order to achieve this goal.
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29

Coda, Humberto Breves, and Wilson Sérgio Venturini. "BEM/FEM non-linear model applied to transient analysis with viscous damping." Journal of the Brazilian Society of Mechanical Sciences 21, no. 3 (September 1999): 519–36. http://dx.doi.org/10.1590/s0100-73861999000300013.

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30

Martikka, Heikki, and Ilkka Pöllänen. "Strength of Alloyed Metal Castings Using Multiphase Models and Non-Linear FEM." Materials Science Forum 638-642 (January 2010): 2658–63. http://dx.doi.org/10.4028/www.scientific.net/msf.638-642.2658.

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Анотація:
High chromium cast iron material 1.4405 GX4CrNiMo 16-5-1 is successfully used in chemical process industry components loaded with hot, highly corrosive and abrasive at high pressures. Overheating test made a discontinuous yielding knee to appear caused probably by dissolution of carbon containing smaller phases but the overall strength and ductility are not affected. Microstructures are studied by optical and SEM microscopy and hardness measurements. This alloy has three main phases appearing as a mixture of rounded and lamellar phases. The work hardening behaviour is studied by analytical composite phase models and 2D FEM models with individual bilinear hardening phase models. The results agreed reasonably. FEM models showed the weak points of the alloy. Fit to test data was better with rounded phase than lamellar phase model. Combination of these tools is useful for innovative special alloy developments.
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31

Gallimard, L., P. Ladevèze, and J. P. Pelle. "Error estimation and time-space parameters optimization for FEM non-linear computation." Computers & Structures 64, no. 1-4 (July 1997): 145–56. http://dx.doi.org/10.1016/s0045-7949(96)00164-2.

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32

del Coz Díaz, J. J., P. J. García Nieto, J. A. Vilán Vilán, and J. L. Suárez Sierra. "Non-linear buckling analysis of a self-weighted metallic roof by FEM." Mathematical and Computer Modelling 51, no. 3-4 (February 2010): 216–28. http://dx.doi.org/10.1016/j.mcm.2009.08.032.

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33

Ciric, Ioan R., Theodor Maghiar, Florea Hantila, and Costin Ifrim. "Error bounds for the FEM numerical solution of non‐linear field problems." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 23, no. 3 (September 2004): 835–44. http://dx.doi.org/10.1108/03321640410510802.

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34

ZIELNICA, J., A. ZIÓŁKOWSKI, and C. CEMPEL. "NON-LINEAR VIBROISOLATION PADS DESIGN, NUMERICAL FEM ANALYSIS AND INTRODUCTORY EXPERIMENTAL INVESTIGATIONS." Mechanical Systems and Signal Processing 17, no. 2 (March 2003): 409–22. http://dx.doi.org/10.1006/mssp.2000.1361.

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35

Tuan Ya, T. M. Y. S., Reza Alebrahim, Nadziim Fitri, and Mahdi Alebrahim. "Analysis of Cantilever Beam Deflection under Uniformly Distributed Load using Artificial Neural Networks." MATEC Web of Conferences 255 (2019): 06004. http://dx.doi.org/10.1051/matecconf/201925506004.

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Анотація:
In this study the deflection of a cantilever beam was simulated under the action of uniformly distributed load. The large deflection of the cantilever beam causes the non-linear behavior of beam. The prupose of this study is to predict the deflection of a cantilever beam using Artificial Neural Networks (ANN). The simulation of the deflection was carried out in MATLAB by using 2-D Finite Element Method (FEM) to collect the training data for the ANN. The predicted data was then verified again through a non linear 2-D geometry problem solver, FEM. Loads in different magnitudes were applied and the non-linear behaviour of the beam was then recorded. It was observed that, there is a close agreement between the predicted data from ANN and the results simulated in the FEM.
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36

Li, W., S. Wayte, D. Griffin, D. Chetwynd, D. Karampela, E. Torabi, and K. Mao. "An Initial Investigation of Hip Joint Contact Behaviour Using Advanced Non-Linear Finite Element Methods." Applied Mechanics and Materials 668-669 (October 2014): 1557–60. http://dx.doi.org/10.4028/www.scientific.net/amm.668-669.1557.

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Анотація:
The hip implant is a very successful treatment for serious osteoarthritis, especially in older patients, but less desirbale for earlier interventions. There is a growing consensus that most hip arthritis is due to shape abnormalities that cause impingement at the ball and socket, collectively called femoroacetabular impingement (FAI). The ball does not fit accurately into the socket, leading to premature wear, and then destructive arthritis. It is not then necessary to replace the whole hip joint; newly developed surgical techniques that accurately reshape the bones to relieve impingement and reduce wear have been shown to be effective. This surgery can be performed with a conventional open approach, or be arthroscopic (keyhole) surgery. It would be better to reshape bones to suit each individual patient. Finite element methods (FEM) have been widely used for biomechanical studies of hip implants and periacetabular osteotomy, but hardly at all in hip reshaping. Non-linear FEM is employed in the current study to perform biomechanical evaluations of differences in contact pressure between normal and arthritic hip joints to help basic understanding and lead to more accurate surgery. The hip joint bone structure is obtained through a medical CT scan and then the CT images have been converted into a format readable by FEM solvers. A sophisticated non-linear contact model of the hip joint bringing together the interactions of true geometry, natural movement and contact forces has been established using this advanced FEM.
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37

Lee, Yong-Sang, Kyoung-Tak Kang, and Dong-Hoo Han. "The non-linear FEM analysis of different connection lengths of internal connection abutment." Journal of Korean Academy of Prosthodontics 54, no. 2 (2016): 110. http://dx.doi.org/10.4047/jkap.2016.54.2.110.

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38

Jameel, Mohammed, A. B. M. Saiful Islam, Raja Rizwan Hussain, Syed Danish Hasan, and M. Khaleel. "Non-linear FEM analysis of seismic induced pounding between neighbouring multi-storey structures." Latin American Journal of Solids and Structures 10, no. 5 (September 2013): 921–39. http://dx.doi.org/10.1590/s1679-78252013000500004.

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39

Kawasumi, Takuya, and Yasuhiro Kanto. "2125 Adding Non-Linear Function to FEM Program using by the Option Pattern." Proceedings of The Computational Mechanics Conference 2009.22 (2009): 430–31. http://dx.doi.org/10.1299/jsmecmd.2009.22.430.

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40

del Coz Díaz, J. J., P. J. García Nieto, C. Betegón Biempica, and G. Fernández Rougeot. "Non-linear analysis of unbolted base plates by the FEM and experimental validation." Thin-Walled Structures 44, no. 5 (May 2006): 529–41. http://dx.doi.org/10.1016/j.tws.2006.04.008.

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41

del Coz Díaz, J. J., P. J. García Nieto, M. Fernández Rico, and J. L. Suárez Sierra. "Non-linear analysis of the tubular ‘heart’ joint by FEM and experimental validation." Journal of Constructional Steel Research 63, no. 8 (August 2007): 1077–90. http://dx.doi.org/10.1016/j.jcsr.2006.10.003.

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42

Romero, A., P. Galvín, and J. Domínguez. "3D non-linear time domain FEM–BEM approach to soil–structure interaction problems." Engineering Analysis with Boundary Elements 37, no. 3 (March 2013): 501–12. http://dx.doi.org/10.1016/j.enganabound.2013.01.001.

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43

Steinbach, Olaf. "On the stability of the non-symmetric BEM/FEM coupling in linear elasticity." Computational Mechanics 51, no. 4 (August 28, 2012): 421–30. http://dx.doi.org/10.1007/s00466-012-0782-y.

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44

Mahapatra, T. R., and S. K. Panda. "Thermoelastic Vibration Analysis of Laminated Doubly Curved Shallow Panels Using Non-Linear FEM." Journal of Thermal Stresses 38, no. 1 (November 20, 2014): 39–68. http://dx.doi.org/10.1080/01495739.2014.976125.

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45

Soares Jr, D., O. von Estorff, and W. J. Mansur. "Efficient non-linear solid-fluid interaction analysis by an iterative BEM/FEM coupling." International Journal for Numerical Methods in Engineering 64, no. 11 (2005): 1416–31. http://dx.doi.org/10.1002/nme.1408.

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46

Gatica, Gabriel N., Luis F. Gatica, and Ernst P. Stephan. "A FEM-DtN formulation for a non-linear exterior problem in incompressible elasticity." Mathematical Methods in the Applied Sciences 26, no. 2 (2002): 151–70. http://dx.doi.org/10.1002/mma.349.

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47

Sviličić, Šimun, and Smiljko Rudan. "Modelling Manoeuvrability in the Context of Ship Collision Analysis Using Non-Linear FEM." Journal of Marine Science and Engineering 11, no. 3 (February 25, 2023): 497. http://dx.doi.org/10.3390/jmse11030497.

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Ship collisions are rare events that may have a significant impact on the safety of people, ships, and other marine structures, as well as on the environment. Because of this, they are extensively studied but events that just precede collision are often overlooked. To rationally assess collision risks and consequences, a ship’s trajectory, and consequently the velocity and collision angle, should be known. One way to achieve this is through accurate modelling of ship manoeuvrability in collision analysis using non-linear FEM (NFEM). The Abkowitz manoeuvring model is implemented in the LS-Dyna software code and is therefore coupled with FEM calculations. Hydrodynamic forces are calculated in each time step of the LS-Dyna calculation and added to the FE model continuously through calculation. The accuracy of the calculations depends on the choice of and values of hydrodynamic derivatives from the Abkowitz model. Abkowitz’s model derives hydrodynamic forces in the Taylor expansion series to provide hydrodynamic derivatives. The application of the procedure is sensitive on higher-order Taylor series members. This article reviews different sets of hydrodynamic derivatives available for the KVLCC2 ship. Each of them is incorporated into the LS-Dyna NFEM solver by a user-made Fortran subroutine, with standard Zigzag and turning manoeuvres simulated and results compared with the experimental tests. As a result, the optimal selection of hydrodynamic derivatives is determined, laying a foundation for assessing the risk of ship collision due to different ship manoeuvres prior to the collision itself.
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48

Meleshko, Vladimir. "Software complexes and new approaches to non-linear analysis of framed structures." SHS Web of Conferences 44 (2018): 00061. http://dx.doi.org/10.1051/shsconf/20184400061.

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There is a great number of non-linear tasks which can be solved with the use of computer-based simulation and finite elements method (FEM). But in order to ensure high speed and accuracy of calculations it is necessary to use new mathematical models and algorithms. The analysis of the known FEM forms and approaches to numerical solution of tasks based on force method is performed in this work. Represented in the document is formulation of the finite-element stress method and algorithmization of the classical force method for calculation of framed structures based on the equation of strain compatibility – contour forces method. Statement of problems which can be more effective from the point of view of elastic-plastic deformations at numerical solution is considered. In particular, the hybrid finite-element method based on the generalized Mohr formula for determination of long bar stiffness coefficient with account of non-linear behavior. The main relationships for creation of finite-element method equation system in the form of force method are represented.
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49

Resen, Abdulamir. "EFFECT OF STEP LOADING ON THE LINEAR AND NON-LINEAR VISCOELASTIC BEHAVIOR OF SOLID POLYMERS USING FEM." Academic Journal of Nawroz University 7, no. 3 (2018): 235–44. http://dx.doi.org/10.25007/ajnu.v7n3a248.

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50

Zhu, Tie Mei, Yan Hua Ye, Wei Wei, Wei Qing Liu, and Zi Jun Wang. "Non-Linear Finite Element Analysis on Composite Shear Wall with Opening." Advanced Materials Research 446-449 (January 2012): 203–7. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.203.

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A new composite structure system is proposed in this paper to suit the demand of building energy conservation and heat preservation. Based on the low reversed cyclic loading test, the non-linear finite element (FEM) analysis model of composite shear wall is established by ANSYS so as to study crack status, stress variation characteristics and failure process under the action of horizontal loading. The results of ANSYS finite element analysis show good agreement with the test results.
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