Academic literature on the topic 'Nonlinear finite element analysis'

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Journal articles on the topic "Nonlinear finite element analysis"

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Shirazi-Adl, A. "Nonlinear finite element analysis of wrapping uniaxial elements." Computers & Structures 32, no. 1 (January 1989): 119–23. http://dx.doi.org/10.1016/0045-7949(89)90076-x.

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Zhao, Feng Hua, Yong Sheng Qi, and Y. Y. Zhou. "Nonlinear Finite Element Analysis of FQQB." Applied Mechanics and Materials 438-439 (October 2013): 639–43. http://dx.doi.org/10.4028/www.scientific.net/amm.438-439.639.

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The mechanical properties of the whole wall and the wall with openings under vertical loads are analyzed by nonlinearity finite element method (NFEM). The results show that the stress of steel wire has a direct relationship with the load form. The inclined plug wire mainly carries the stress caused by load differences between the two sides of concrete, it makes both sides of concrete work together better. As the diameter of the inclined plug wire increased, the effects on the FQQB mechanical properties become greater, wire mesh stress on both sides decrease, and the vertical displacement of FQQB decrease. Cracks appear above the openings of FQQB which has been cut holes. Steel wire tends to be tension stress concentrated, and there are obvious stress concentration belts on both sides of the opening. However, the size of the opening has little effects on the ultimate bearing capacity of wall panel.
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Kolukula, Siva Srinivas, and P. Chellapandi. "Nonlinear Finite Element Analysis of Sloshing." Advances in Numerical Analysis 2013 (February 27, 2013): 1–10. http://dx.doi.org/10.1155/2013/571528.

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The disturbance on the free surface of the liquid when the liquid-filled tanks are excited is called sloshing. This paper examines the nonlinear sloshing response of the liquid free surface in partially filled two-dimensional rectangular tanks using finite element method. The liquid is assumed to be inviscid, irrotational, and incompressible; fully nonlinear potential wave theory is considered and mixed Eulerian-Lagrangian scheme is adopted. The velocities are obtained from potential using least square method for accurate evaluation. The fourth-order Runge-Kutta method is employed to advance the solution in time. A regridding technique based on cubic spline is employed to avoid numerical instabilities. Regular harmonic excitations and random excitations are used as the external disturbance to the container. The results obtained are compared with published results to validate the numerical method developed.
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Bathe, K. J. "Nonlinear finite element analysis and ADINA." Mechanics Research Communications 12, no. 6 (November 1985): 346. http://dx.doi.org/10.1016/0093-6413(85)90008-4.

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Krishnamurthy, K., Thomas D. Burton, and Lavern D. Zeller. "Finite element analysis of nonlinear oscillators." International Journal for Numerical Methods in Engineering 21, no. 3 (March 1985): 409–20. http://dx.doi.org/10.1002/nme.1620210303.

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Sen Umesh Mishra, Tara, and Shubhalakshmi B.S. "Nonlinear Finite Element Analysis of Retrofitting of RCC Beam Column Joint using CFRP." International Journal of Engineering and Technology 2, no. 5 (2010): 459–67. http://dx.doi.org/10.7763/ijet.2010.v2.165.

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Lan, Shengrui, and Jusheng Yang. "Nonlinear finite element analysis of arch dam — II. Nonlinear analysis." Advances in Engineering Software 28, no. 7 (October 1997): 409–15. http://dx.doi.org/10.1016/s0965-9978(97)00012-4.

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Xu, Qiang, Jian Yun Chen, Jing Li, Gui Bing Zhang, Hong Yuan Yue, and Xian Zheng Yu. "Nonlinear analysis for the polygonal element." MATEC Web of Conferences 272 (2019): 01020. http://dx.doi.org/10.1051/matecconf/201927201020.

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As an important method for solving boundary value problems of differential equations, the finite element method (FEM) has been widely used in the fields of engineering and academic research. For two dimensional problems, the traditional finite element method mainly adopts triangular and quadrilateral elements, but the triangular element is constant strain element, its accuracy is low, the poor adaptability of quadrilateral element with complex geometry. The polygon element is more flexible and convenient in the discrete complex geometric model. Some interpolation functions of the polygon element were introduced. And some analysis was given. The numerical calculation accuracy and related features of different interpolation function were studied. The damage analysis for the koyna dam was given by using the polygonal element polygonal element of Wachspress interpolation function. The damage result is very similar to that by using Xfem, which shows the calculation accuracy of this method is very high.
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Erklig, Ahmet, and M. Akif Kütük. "Experimental Finite Element Approach for Stress Analysis." Journal of Engineering 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/643051.

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This study aims to determining the strain gauge location points in the problems of stress concentration, and it includes both experimental and numerical results. Strain gauges were proposed to be positioned to corresponding locations on beam and blocks to related node of elements of finite element models. Linear and nonlinear cases were studied. Cantilever beam problem was selected as the linear case to approve the approach and conforming contact problem was selected as the nonlinear case. An identical mesh structure was prepared for the finite element and the experimental models. The finite element analysis was carried out with ANSYS. It was shown that the results of the experimental and the numerical studies were in good agreement.
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Chowdhury, M. R., and J. C. Ray. "Further Considerations for Nonlinear Finite-Element Analysis." Journal of Structural Engineering 121, no. 9 (September 1995): 1377–79. http://dx.doi.org/10.1061/(asce)0733-9445(1995)121:9(1377).

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Dissertations / Theses on the topic "Nonlinear finite element analysis"

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Ku, Chi Ming John. "Parallel finite element analysis of nonlinear problems." Thesis, University of Liverpool, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.321161.

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Supangkat, Himawan. "On finite element analysis of nonlinear consolidation." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/37795.

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Alnaas, Waled. "Nonlinear finite element analysis of quasi-brittle materials." Thesis, Cardiff University, 2016. http://orca.cf.ac.uk/93465/.

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The development of robust solution schemes for the nonlinear finite element analysis of quasi-brittle materials has been a challenging undertaking, due mainly to the stability and convergence difficulties associated with strain-softening materials. The work described in this thesis addresses this issue by proposing a new method for improving the robustness and convergence characteristics of a finite element damage model. In this method, a smooth unloading-reloading function is employed to compute an approximate tangent matrix in an incremental iterative Newton type solution procedure. The new method is named ‘the smooth unloading-reloading’ (SUR) method. A range of examples, based on a set of idealised quasi-brittle specimens, are used to assess the performance of the SUR method. The results from these example analyses show that the proposed approach is numerically robust, effective and results in considerable savings relative to solutions obtained with a reference secant model. Three acceleration approaches are also proposed in this thesis to further improve the convergence properties of the new SUR method. The first acceleration approach, named ‘the predictive-SUR method’, predicts a converged value of a damage evolution variable using an extrapolation in semi-log space. The second proposed method is designated ‘the fixing approach’, in which a damage evolution parameter is updated from the last converged step in Stage-1 iterations and then fixed in Stage-2 iterations. The third acceleration technique employs ‘a slack tolerance’ at key stages in a computation. The improvement of the convergence properties of the SUR method, when the proposed acceleration approaches are introduced, is illustrated using a series of example computations based on the analysis of a range of plain and reinforced concrete structural elements. In addition, a new element with an embedded strong discontinuity is proposed for simulating cracks in quasi-brittle structures. The new formulation is applied to quadrilateral elements and exploited to simulate mode-I, mode-II and mixed mode fracture. The interface element approach and the smeared crack approach are used as reference methods. The results from a series of examples show that the new proposed embedded strong discontinuity approach is both effective and accurate.
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Chandra, Rajesh. "Nonlinear finite element analysis of multilayered beam-columns." Thesis, University of British Columbia, 1989. http://hdl.handle.net/2429/27917.

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A finite element model has been developed in this thesis for predicting strength and stiffness behavior of multilayered beam-columns. The analysis incorporates material and geometric nonlinearities in order to determine the ultimate load carrying capacity. The finite element model takes into account the continuous variability of material properties along the length of layers so that multilayered wood beam-columns can be analyzed. Transverse as well as lateral bending in combination with axial tension or compression can be considered along with different layer configurations, various support and loading conditions. A computer program has been developed based on this formulation. Cubic beam elements have been used. Numerical integration of the virtual work equations has been carried out using Gauss quadrature. The resulting set of nonlinear equations is solved by using the Newton-Raphson scheme. Numerical investigations have been carried out to verify the results and test the capabilities of the program.
Applied Science, Faculty of
Civil Engineering, Department of
Graduate
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Yao, Zhong, and 姚钟. "Nonlinear finite element analysis of reinforced concrete beams." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B5090002X.

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A nonlinear finite element program to simulate the behavior of reinforced concrete (RC) members under the action of monotonic increasing loading has been developed. The nonlinear response of the RC members is mainly due to the nonlinear material characteristics including nonlinear biaxial stress-strain relations and cracking of concrete and yielding of steel reinforcement. A constitutive model of concrete under biaxial stress state is adopted in this thesis. In this model, concrete fails and critical cracks occur when the tensile strain of concrete exceeds the limiting tensile strain. The complete stress-strain relationship of concrete under compression and tension are employed in the study to investigate the post-peak behavior of reinforced concrete members. An elaborate cracking model has been implemented which allows concrete to crack in one or two directions. The tension stiffening effect of cracked concrete is also incorporated into this model by including a descending branch in the stress-strain curve of concrete under tension. Other nonlinear effects such as crushing of concrete in compression and yielding or strain hardening of steel reinforcement are also taken into account. A nonlinear finite element program was developed, in which the abovementioned nonlinear effects have all been included in modeling the reinforced concrete structures. The nonlinear equations of equilibrium are solved using an incremental-iterative technique performed under displacement control. The validity of the model including the confinement effect of secondary reinforcements has been examined by analyzing three reinforced concrete beams. The performance of the numerical model was assessed by comparing results with those from available experimental data.
published_or_final_version
Civil Engineering
Master
Master of Philosophy
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Ganaba, Taher H. "Nonlinear finite element analysis of plates and slabs." Thesis, University of Warwick, 1985. http://wrap.warwick.ac.uk/34590/.

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The behaviour of steel plates and reinforced concrete slabs which undergo large deflections has been investigated using the finite element method. Geometric and material nonlinearities are both considered in the study. Two computer programs have been developed for the analysis of plates and slabs. Ihe first program is for the elastic stability of plates. The elastic buckling loads obtained for plates with and without openings and under different edge loading conditions have been compared with the analytical and numerical results obtained by other investigators using different techniques of analyses. Good correlation between the results obtained and those given by others has been achieved. Improvements in the accuracy of the results and the efficiency of the analysis for plates with openings have been achieved. The second program is for the full range analysis of steel plates and reinforced concrete slabs up to collapse. The analysis can trace the load-deflection response up to collapse including snap-through behaviours. The program allows for the yielding of steel and the cracking and crushing of concrete. The modified Newton-Raphson with load control and displacement control methods is used to trace the structural response up to collapse. The line search technique has been included to improve the rate of convergence in the analysis of reinforced concrete slabs. The program has been tested against experimental and numerical results obatined by other investigators and has been shown to give good agreement. The accuracy of a number of integration rules usually adopted in nonlinear finite elecent analyses to evaluate the stress resultants from the stress distribution throughout concrete sections has been investigated. A new integration rule has been proposed for the integration of stress distributions through cracked concrete sections or cracked and crushed concrete sections.
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McAdie, R. L. "Finite element nonlinear stability analysis of framed structures." Master's thesis, University of Cape Town, 1985. http://hdl.handle.net/11427/21872.

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Bibliography: pages 97-98.
The development of efficient and accurate finite element modelling techniques for the routine analysis of elastic-plastic stability problems in frame structures is addressed. The necessary models, solution procedure and geometric algorithm used for nonlinear stability analysis of frames are presented. An available finite element code, NOSTRUM, which had the basic algorithms necessary to carry out nonlinear analysis was used as the starting point. The Timoshenko beam/frame elements with a layered representation of the cross-section, uniaxial elasticplastic constitutive models, different integration procedures and simplified large deformation geometric assumptions incorporated into NOSTRUM are discussed in detail. Numerical examples are given to validate the algorithms implemented and to provide the experience necessary to give guidelines for the adequate choice of discretization and numerical schemes to be used in routine nonlinear stability analysis of frame structures.
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Chan, Mun Fong. "Nonlinear finite element analysis of sheet pile interlocks." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/54482.

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A finite element program is developed to depict the behavior of a sheet pile interlock connection in an axial pull test. Two types of sheet piles, PS32 and PSX32, are considered. The thumb and finger in the interlock of a sheet pile will provide three contact points for connection with another sheet pile. The problem is highly nonlinear in nature which involves large deflections and rotations, elastic-plastic material response, and a nonlinear boundary effect due to multi-contact surfaces. The Updated Lagrangian formulation is adopted in this study. When the response is in elastic range the Updated Lagrangian with Transformation is used while the Updated Lagrangian with Jaumann stress rate is employed when the element starts to yield. An elastic-plastic with isotropic strain hardening material model is used. The yielding of an element is detected by the Von Mises yield criterion. The finite element formulation also includes a moving contact algorithm to incorporate with both geometric and material nonlinearities. Incremental potential of contact forces for a discretized system is constructed such that geometric compatibilities are maintained between contacting bodies. A method to calculate contact tractions from residual load of internal element stresses is employed. The incremental equilibrium equation is solved by a Newton-Raphson technique. Convergence criteria based on incremental displacement, incremental internal energy of the system, and the changes in contact forces can be chosen to advance or terminate the iteration process.
Ph. D.
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Jau, Jih Jih. "Geometrically nonlinear finite element analysis of space frames." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/54302.

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The displacement method of the finite element is adopted. Both the updated Lagrangian formulation and total Lagrangian formulation of a three-dimensional beam element is employed for large displacement and large rotation, but small strain analysis. A beam-column element or finite element can be used to model geometrically nonlinear behavior of space frames. The two element models are compared on the basis of their efficiency, accuracy, economy and limitations. An iterative approach, either Newton-Raphson iteration or modified Riks/Wempner iteration, is employed to trace the nonlinear equilibrium path. The latter can be used to perform postbuckling analysis.
Ph. D.
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Lai, Zhi Cheng. "Finite element analysis of electrostatic coupled systems using geometrically nonlinear mixed assumed stress finite elements." Diss., Pretoria : [s.n.], 2007. http://upetd.up.ac.za/thesis/available/etd-05052008-101337/.

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Books on the topic "Nonlinear finite element analysis"

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Kim, Nam-Ho. Introduction to Nonlinear Finite Element Analysis. New York, NY: Springer US, 2015. http://dx.doi.org/10.1007/978-1-4419-1746-1.

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An introduction to nonlinear finite element analysis. Oxford: Oxford University Press, 2004.

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Bonet, Javier. Nonlinear continuum mechanics for finite element analysis. Cambridge: Cambridge University Press, 1997.

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Ganaba, Taher H. Nonlinear finite element analysis of plates and slabs. [s.l.]: typescript, 1985.

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Selby, Robert G. Nonlinear finite element analysis of reinforced concrete solids. Ottawa: National Library of Canada, 1990.

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A, Crisfield M., ed. Nonlinear finite element analysis of solids and structures. 2nd ed. Hoboken, NJ: Wiley, 2012.

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Borst, René de. Nonlinear finite element analysis of solids and structures. 2nd ed. Hoboken, NJ: Wiley, 2012.

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Joe, Padovan, Fertis Demeter G, and United States. National Aeronautics and Space Administration., eds. Engine dynamic analysis with general nonlinear finite element codes. [Washington, DC]: National Aeronautics and Space Administration, 1991.

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Center, Lewis Research, and University of Toledo, eds. Nonlinear structural analysis of cylindrical thrust chambers using viscoplastic models. Toledo, Ohio: University of Toledo, 1991.

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United States. National Aeronautics and Space Administration., ed. Slave finite element for nonlinear analysis of engine structures. [Washington, DC]: National Aeronautics and Space Administration, 1991.

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Book chapters on the topic "Nonlinear finite element analysis"

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Gantes, Charis J. "Nonlinear Finite Element Analysis." In Encyclopedia of Earthquake Engineering, 1–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36197-5_138-1.

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Gantes, Charis J. "Nonlinear Finite Element Analysis." In Encyclopedia of Earthquake Engineering, 1636–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-35344-4_138.

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Saouma, Victor E., and M. Amin Hariri-Ardebili. "Nonlinear Finite Element Analysis." In Aging, Shaking, and Cracking of Infrastructures, 287–315. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57434-5_13.

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Zhang, Shun-Qi. "Finite Element Formulations." In Nonlinear Analysis of Thin-Walled Smart Structures, 77–99. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-9857-9_5.

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Lourenço, Paulo B., and Angelo Gaetani. "Nonlinear structural analysis." In Finite Element Analysis for Building Assessment, 63–125. New York: Routledge, 2022. http://dx.doi.org/10.1201/9780429341564-2.

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Kim, Nam-Ho. "Nonlinear Finite Element Analysis Procedure." In Introduction to Nonlinear Finite Element Analysis, 81–140. New York, NY: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4419-1746-1_2.

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Mukhopadhyay, Madhujit, and Abdul Hamid Sheikh. "Geometrical Nonlinear Finite Element Analysis." In Matrix and Finite Element Analyses of Structures, 405–29. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08724-0_17.

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Chipot, Michel. "Finite Element Methods for Elliptic Problems." In Elements of Nonlinear Analysis, 105–29. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8428-0_8.

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Kim, Nam-Ho. "Finite Element Analysis for Elastoplastic Problems." In Introduction to Nonlinear Finite Element Analysis, 241–366. New York, NY: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4419-1746-1_4.

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Kim, Nam-Ho. "Finite Element Analysis for Contact Problems." In Introduction to Nonlinear Finite Element Analysis, 367–426. New York, NY: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4419-1746-1_5.

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Conference papers on the topic "Nonlinear finite element analysis"

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"Nonlinear Torsion and Warping for Multifibre Beam Elements." In SP-237: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2006. http://dx.doi.org/10.14359/18248.

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"Modeling of Nonlinear Cyclic Behavior of Reinforcing Bars." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11644.

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"Seismic Behavior Predictions of Structures: A local Nonlinear Mechanisms Approach." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11633.

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"Cyclic Softened Membrane Model for Nonlinear Finite Element Analysis of Concrete Structures." In SP-237: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2006. http://dx.doi.org/10.14359/18247.

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Rahman, B. M. A., Y. Liu, P. A. Buah, K. T. V. Grattan, F. A. Fernandez, R. D. Ettinger, and J. B. Davies. "Accurate Finite Element Analysis of Nonlinear Optical Fibers." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.we11.

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Nonlinear optical effects in fibers such as optical solitons are closely related to the optical Kerr effect[1]. Calculations are presented here of propagation constants, field distributions and spot sizes, in step index and graded index optical fibers with Kerr- and saturation-type nonlinearities.
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Kaltenbacher, Manfred, Sebastian M. Schneider, Reinhard Simkovics, Hermann Landes, and Reinhard Lerch. "Nonlinear finite element analysis of magnetostrictive transducers." In SPIE's 8th Annual International Symposium on Smart Structures and Materials, edited by Vittal S. Rao. SPIE, 2001. http://dx.doi.org/10.1117/12.436469.

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CLIFFT, GREGORY, TIMOTHY WILSON, and JOHN COYLE. "Nonlinear finite element analysis techniques for hypersonic vehicles." In 2nd International Aerospace Planes Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-5220.

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Huang, Wen-Chen, and Dmitry B. Goldgof. "Nonrigid motion analysis using nonlinear finite element modeling." In SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, edited by Baba C. Vemuri. SPIE, 1993. http://dx.doi.org/10.1117/12.146643.

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Lin, Wen Shan. "Nonlinear layered finite element analysis of RC slab." In 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet). IEEE, 2011. http://dx.doi.org/10.1109/cecnet.2011.5769188.

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Trlep, Mladen, Marko Jesenik, Milos Bekovic, and Anton Hamler. "Nonlinear Transient Finite Element Analysis Of Grounding Systems." In 2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF). IEEE, 2019. http://dx.doi.org/10.1109/isef45929.2019.9096979.

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Reports on the topic "Nonlinear finite element analysis"

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Belytschko, Theodore B. Adaptive Refinement for Explicit Nonlinear Finite Element Analysis. Fort Belvoir, VA: Defense Technical Information Center, June 1996. http://dx.doi.org/10.21236/ada309516.

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Laursen, T. A., S. W. Attaway, and R. I. Zadoks. SEACAS Theory Manuals: Part III. Finite Element Analysis in Nonlinear Solid Mechanics. Office of Scientific and Technical Information (OSTI), March 1999. http://dx.doi.org/10.2172/4711.

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Al-Chaar, Ghassan L., and Armin Mehrabi. Constitutive Models for Nonlinear Finite Element Analysis of Masonry Prisms and Infill Walls. Fort Belvoir, VA: Defense Technical Information Center, March 2008. http://dx.doi.org/10.21236/ada496667.

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Chen, W., and D. Becker. Nonlinear finite-element analysis of an exploratory shaft liner for a nuclear waste repository. Office of Scientific and Technical Information (OSTI), December 1989. http://dx.doi.org/10.2172/6910656.

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Yan, Su, and Jian-Ming Jin. Time-Domain Finite Element Analysis of Nonlinear Breakdown Problems in High-Power-Microwave Devices and Systems. Fort Belvoir, VA: Defense Technical Information Center, December 2015. http://dx.doi.org/10.21236/ad1006412.

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Ostendorp, Markus. Improved Methodology for Limit States Finite Element Analysis of Lattice Type Structures using Nonlinear Post-Buckling Member Performance. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1178.

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Godfrey, Thomas A. Verification of Dynamic Load Factor for Analysis of Airblast-Loaded Membrane Shelter Panels by Nonlinear Finite Element Calculations. Fort Belvoir, VA: Defense Technical Information Center, July 1991. http://dx.doi.org/10.21236/ada238939.

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Lambrecht, Stephen, Raju Namburu, Milton Chaika, and Farzad Rostam- Abadi. M1, IPM1 and M1A1 (through November 1990) Abrams Tank Lifting Provisions: Nonlinear Finite Element Analysis of Front Lifting Eye. Fort Belvoir, VA: Defense Technical Information Center, April 1993. http://dx.doi.org/10.21236/ada265888.

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Hamilton, A., T. Tran, M. B. Mckay, B. Quiring, and P. S. Vassilevski. DNN Approximation of Nonlinear Finite Element Equations. Office of Scientific and Technical Information (OSTI), September 2019. http://dx.doi.org/10.2172/1573161.

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Blanco, Alejandro G. Towards Intelligent Finite Element Analysis. Fort Belvoir, VA: Defense Technical Information Center, September 1990. http://dx.doi.org/10.21236/ada228672.

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