Relevant bibliographies by topics / Curvilinear elements

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  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Curvilinear elements'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Curvilinear elements"

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Heyliger, Paul R. "Ritz finite elements for curvilinear particles." Communications in Numerical Methods in Engineering 22, no. 5 (2005): 335–45. http://dx.doi.org/10.1002/cnm.813.

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Dobrev, V. A., T. E. Ellis, Tz V. Kolev, and R. N. Rieben. "Curvilinear finite elements for Lagrangian hydrodynamics." International Journal for Numerical Methods in Fluids 65, no. 11-12 (2010): 1295–310. http://dx.doi.org/10.1002/fld.2366.

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Anand, Akash, Jeffrey S. Ovall, Samuel E. Reynolds, and Steffen Weißer. "Trefftz Finite Elements on Curvilinear Polygons." SIAM Journal on Scientific Computing 42, no. 2 (2020): A1289—A1316. http://dx.doi.org/10.1137/19m1294046.

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Martini, E., and S. Selleri. "Innovative class of curvilinear tetrahedral elements." Electronics Letters 37, no. 9 (2001): 557. http://dx.doi.org/10.1049/el:20010397.

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Johnen, A., J. F. Remacle, and C. Geuzaine. "Geometrical validity of curvilinear finite elements." Journal of Computational Physics 233 (January 2013): 359–72. http://dx.doi.org/10.1016/j.jcp.2012.08.051.

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Aldakheel, Fadi, Blaž Hudobivnik, Edoardo Artioli, Lourenço Beirão da Veiga, and Peter Wriggers. "Curvilinear virtual elements for contact mechanics." Computer Methods in Applied Mechanics and Engineering 372 (December 2020): 113394. http://dx.doi.org/10.1016/j.cma.2020.113394.

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Huber, C. J., W. Rieger, M. Haas, and W. M. Rucker. "A boundary element formulation using higher order curvilinear edge elements." IEEE Transactions on Magnetics 34, no. 5 (1998): 2441–44. http://dx.doi.org/10.1109/20.717561.

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Johnen, A., and C. Geuzaine. "Geometrical validity of curvilinear pyramidal finite elements." Journal of Computational Physics 299 (October 2015): 124–29. http://dx.doi.org/10.1016/j.jcp.2015.06.033.

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Malinin, M. Yu, and V. F. Snigirev. "Construction of curvilinear finite elements using vector splines." Journal of Soviet Mathematics 61, no. 5 (1992): 2390–95. http://dx.doi.org/10.1007/bf01097351.

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Artioli, E., L. Beirão da Veiga, and F. Dassi. "Curvilinear Virtual Elements for 2D solid mechanics applications." Computer Methods in Applied Mechanics and Engineering 359 (February 2020): 112667. http://dx.doi.org/10.1016/j.cma.2019.112667.

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Dissertations / Theses on the topic "Curvilinear elements"

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Connerley, David Roland. "Elements of a Chapel." Thesis, Virginia Tech, 2002. http://hdl.handle.net/10919/35963.

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Traditionally the role of a Chapel is to offer society a place to worship, find solitude, sanctuary, spiritual enlightenment, religious fulfillment, and its inspiration. In an effort to reinforce and accentuate these experiences, this project explores the architectural concepts of procession, transition, and materiality of a Chapel.<br>Master of Architecture
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Marais, Neilen. "Higher order hierarchal curvilinear triangular vector elements for the finite element method in computational electromagnetics." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53447.

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Thesis (MScEng)--Stellenbosch University, 2003.<br>ENGLISH ABSTRACT: The Finite Element Method (FEM) as applied to Computational Electromagnetics (CEM), can be used to solve a large class of Electromagnetics problems with high accuracy, and good computational efficiency. Computational efficiency can be improved by using element basis functions of higher order. If, however, the chosen element type is not able to accurately discretise the computational domain, the converse might be true. This paper investigates the application of elements with curved sides, and higher order basis function
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Ellis, Truman Everett. "High Order Finite Elements for Lagrangian Computational Fluid Dynamics." DigitalCommons@CalPoly, 2010. https://digitalcommons.calpoly.edu/theses/282.

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A general finite element method is presented to solve the Euler equations in a Lagrangian reference frame. This FEM framework allows for separate arbitrarily high order representation of kinematic and thermodynamic variables. An accompanying hydrodynamics code written in Matlab is presented as a test-bed to experiment with various basis function choices. A wide range of basis function pairs are postulated and a few choices are developed further, including the bi-quadratic Q2-Q1d and Q2-Q2d elements. These are compared with a corresponding pair of low order bi-linear elements, traditional Q1-Q0
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Wagner, David. "A Finite Element-based Adaptive Energy Response Function Method for Curvilinear Progressive Fracture." Thesis, The University of Texas at San Antonio, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10845946.

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<p> An adaptive arbitrary-order curvilinear progressive 2D crack growth algorithm is presented. The method uses the ZFEM hypercomplex finite element program to compute arbitrary order derivatives of strain energy with respect to self-similar or perpendicular crack extensions, and then constructs a family of Taylor series functions of strain energy versus crack growth direction. An adaptive algorithm automatically selects the best high-degree polynomial to extrapolate a curvilinear crack path, and adjusts the length of the crack growth increment added during each simulation step to maintain the
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Langley, Patrick Tyler. "Finite Element Modeling of Tow-Placed Variable-Stiffness Composite Laminates." Thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/33476.

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Tow-placement machines have made it possible to manufacture curved-fiber composite tow paths. A composite structure with curved-fiber tow paths can be formed in a manner similar to filament winding. The result is a laminate with spatially varying stiffness and response. This manufacturing method can also result in overlap regions between adjacent tow paths. In previous research, a closed-form solution was developed to determine the response of these variable-stiffness laminates, but the overlap regions were not included in this model. Additionally, the fiber-orientation angle throughout th
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De, Shuvodeep. "Structural Modeling and Optimization of Aircraft Wings having Curvilinear Spars and Ribs (SpaRibs)." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/88467.

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The aviation industry is growing at a steady rate but presently, the industry is highly dependent on fossil fuel. As the world is running out of fossil fuels and the wide-spread acceptance of climate change due to carbon emissions, both the governments and industry are spending a significant amount of resources on research to reduce the weight and hence the fuel consumption of commercial aircraft. A commercial fixed-wing aircraft wing consists of spars which are beams running in span-wise direction, carrying the flight loads and ribs which are panels with holes attached to the spars to preserv
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Islam, Mohammad Majharul. "Global-local Finite Element Fracture Analysis of Curvilinearly Stiffened Panels and Adhesive Joints." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/38687.

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Global-local finite element analyses were used to study the damage tolerance of curvilinearly stiffened panels; fabricated using the modern additive manufacturing process, the so-called unitized structures, and that of adhesive joints. A damage tolerance study of the unitized structures requires cracks to be defined in the vicinity of the critical stress zone. With the damage tolerance study of unitized structures as the focus, responses of curvilinearly stiffened panels to the combined shear and compression loadings were studied for different stiffenersâ height. It was observed that the mag
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Viquerat, Jonathan. "Simulation de la propagation d'ondes électromagnétiques en nano-optique par une méthode Galerkine discontinue d'ordre élevé." Thesis, Nice, 2015. http://www.theses.fr/2015NICE4109/document.

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L’objectif de cette thèse est de développer une méthode Galerkine discontinue d’ordre élevé capable de prendre en considération des simulations réalistes liées à la nanophotonique. Au cours des dernières décennies, l’évolution des techniques de lithographie a permis la création de structure géométriques de tailles nanométriques, révélant ainsi une large gamme de phénomènes nouveaux nés de l’interaction lumière-matière à ces échelles. Ces effets apparaissent généralement pour des objets de taille égale ou (très) inférieure à la longueur d’onde du champ incident. Ce travail repose sur le dévelop
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Prabhakar, Suhas. "A methodology for finite element analysis of curvilinear fiber laminates with defects, fabricated by automated fiber placement technique." Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=107876.

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Composite materials have immense capabilities in terms of tailorability and studying in-depth the Automated Fiber Placement (AFP) technique can go a long way in achieving the above goal. Composite laminates fabricated by AFP can also induce defects such as gaps and overlaps. These defects mainly arise in laminates with curvilinear fiber paths. Gaps usually get filled with resin post-curing while the overlaps are thickness build-ups. This makes it important to analyse the effect of these defects and to incorporate these effects while designing and modeling composite laminates. The present work
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Kramer, Stephan Christoph. "CUDA-based Scientific Computing." Doctoral thesis, Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-FB52-0.

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Books on the topic "Curvilinear elements"

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Zhukova, Galina, and Margarita Rushaylo. The mathematical analysis. Volume 2. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072172.

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The aim of the tutorial is to help students to master the basic concepts and methods of the study of calculus. In volume 2 we study analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Taylor series and Maclaurin, and Fourier series; applications to the analysis and solution of applied problems. Great attention is paid to comparison of these methods, the proper choice of study design tasks, analyze
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Zhukova, Galina, and Margarita Rushaylo. Mathematical analysis in examples and tasks. Part 2. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072162.

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The purpose of the textbook is to help students to master basic concepts and research methods used in mathematical analysis. In part 2 of the proposed cycle of workshops on the following topics: analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Fourier series; applications to the analysis and solution of applied problems. These topics are studied in universities, usually in the second semester in
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Deruelle, Nathalie, and Jean-Philippe Uzan. Differential geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0004.

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This chapter presents some elements of differential geometry, the ‘vector’ version of Euclidean geometry in curvilinear coordinates. In doing so, it provides an intrinsic definition of the covariant derivative and establishes a relation between the moving frames attached to a trajectory introduced in Chapter 2 and the moving frames of Cartan associated with curvilinear coordinates. It illustrates a differential framework based on formulas drawn from Chapter 2, before discussing cotangent spaces and differential forms. The chapter then turns to the metric tensor, triads, and frame fields as wel
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Deruelle, Nathalie, and Jean-Philippe Uzan. Curvilinear coordinates. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0003.

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This chapter presents a discussion on curvilinear coordinates in line with the introduction on Cartesian coordinates in Chapter 1. First, the chapter introduces a new system C of curvilinear coordinates xⁱ = xⁱ(Xj) (also sometimes referred to as Gaussian coordinates), which are nonlinearly related to Cartesian coordinates. It then introduces the components of the covariant derivative, before considering parallel transport in a system of curvilinear coordinates. Next, the chapter shows how connection coefficients of the covariant derivative as well as the Euclidean metric can be related to each
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Book chapters on the topic "Curvilinear elements"

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Rieg, Frank, Reinhard Hackenschmidt, and Bettina Alber-Laukant. "Mesh Generation of Curvilinear Finite Elements." In Finite Element Analysis for Engineers. Carl Hanser Verlag GmbH & Co. KG, 2014. http://dx.doi.org/10.3139/9781569904886.008.

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Johnen, Amaury, Jean-François Remacle, and Christophe Geuzaine. "Geometrical Validity of Curvilinear Finite Elements." In Proceedings of the 20th International Meshing Roundtable. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-24734-7_14.

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Johnen, A., C. Geuzaine, T. Toulorge, and J. F. Remacle. "Quality Measures for Curvilinear Finite Elements." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62048-6_6.

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Cossali, Gianpietro Elvio, and Simona Tonini. "Elements of Differential Geometry of a Surface." In Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-49274-8_2.

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Thomas, Stephen J., and Amik St.-Cyr. "On the Accuracy of High-Order Finite Elements in Curvilinear Coordinates." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11428848_105.

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Moxey, David, Mashy D. Green, Spencer J. Sherwin, and Joaquim Peiró. "On the Generation of Curvilinear Meshes Through Subdivision of Isoparametric Elements." In New Challenges in Grid Generation and Adaptivity for Scientific Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-06053-8_10.

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Ainsworth, M., and J. Coyle. "Computation of Maxwell eigenvalues on curvilinear domains using hp-version Nédélec elements." In Numerical Mathematics and Advanced Applications. Springer Milan, 2003. http://dx.doi.org/10.1007/978-88-470-2089-4_20.

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Gilmanov, Anvar, Henryk Stolarski, and Fotis Sotiropoulos. "Coupling the Curvilinear Immersed Boundary Method with Rotation-Free Finite Elements for Simulating Fluid–Structure Interaction: Concepts and Applications." In Computational Methods in Engineering & the Sciences. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-3940-4_4.

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Bouman, Mick, Artur Palha, Jasper Kreeft, and Marc Gerritsma. "A Conservative Spectral Element Method for Curvilinear Domains." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15337-2_8.

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Sizong, Guo, Han jian, and Chen Changhua. "Fuzzy Value Function’s Curvilinear and Surface Integral Base on Fuzzy Structured Element Method (I) – Fuzzy-valued Function’s Curvilinear Integral." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14880-4_14.

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Conference papers on the topic "Curvilinear elements"

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Makarov, O. L., V. V. Ovsyanikov, O. L. Ol'shevskiy, V. M. Popel', and Y. D. Romanenko. "Wire curvilinear antennas with impedance elements." In 2007 6th International Conference on Antenna Theory and Techniques. IEEE, 2007. http://dx.doi.org/10.1109/icatt.2007.4425213.

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Balanis, Constantine A. "Circular Metasurfaces for Curvilinear Radiating Elements." In 2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems (COMCAS). IEEE, 2019. http://dx.doi.org/10.1109/comcas44984.2019.8958176.

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Selcuk, Gokhun, and S. Sencer Koc. "Evaluation of hypersingular integrals on curvilinear surface elements." In 2016 10th European Conference on Antennas and Propagation (EuCAP). IEEE, 2016. http://dx.doi.org/10.1109/eucap.2016.7481236.

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Vipiana, F., D. R. Wilton, and W. A. Johnson. "Strongly near-singular integral evaluation for curvilinear elements." In 2012 6th European Conference on Antennas and Propagation (EuCAP). IEEE, 2012. http://dx.doi.org/10.1109/eucap.2012.6206557.

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Xu, Jia, and Hongzhi Zhong. "Preliminary Behavior Analysis of Curvilinear Triangular Quadrature Elements." In First International Conference on Information Sciences, Machinery, Materials and Energy. Atlantis Press, 2015. http://dx.doi.org/10.2991/icismme-15.2015.56.

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Nikl, J., M. Kuchařík, and S. Weber. "Lagrangian Magneto-Hydrodynamics Based On Curvilinear Finite Elements." In 14th WCCM-ECCOMAS Congress. CIMNE, 2021. http://dx.doi.org/10.23967/wccm-eccomas.2020.186.

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Sabitov, D. I., M. Charara, and A. A. Dotsenko. "Curvilinear Spectral Elements Application for Sonic Logging Forward Modeling." In Geomodel 2017. EAGE Publications BV, 2017. http://dx.doi.org/10.3997/2214-4609.201702261.

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Wilton, D. R., F. Vipiana, and W. A. Johnson. "Unified treatment of integrals for curvilinear elements in both finite and boundary element methods." In 2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS). IEEE, 2014. http://dx.doi.org/10.1109/ursigass.2014.6929073.

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Toth, Laszlo Levente, and Romanus Dyczij-Edlinger. "Hierarchical universal matrices for sensitivity analysis by curvilinear finite elements." In 2018 International Applied Computational Electromagnetics Society Symposium (ACES). IEEE, 2018. http://dx.doi.org/10.23919/ropaces.2018.8364145.

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Lerbet, Jean. "Intrinsic Formulation of Dynamics of Curvilinear Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84127.

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The paper concerns the dynamics of curvilinear systems which are often met in mechanical systems (robots, artificial satellites and so on). We only suppose that each section is rigid. Using Lie group theory, a general curvilinear system is then equivalent to a differentiable distribution of displacements, elements of the Lie group of Euclidean displacements the algebra of which may be identified with the Lie algebra of screws. The kinematics is described by the lagrangian field of deformations and the lagrangian field of velocities elements of the Lie algebra and with standard hypotheses about
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Reports on the topic "Curvilinear elements"

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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), 1989. http://dx.doi.org/10.2172/6288515.

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