Relevant bibliographies by topics / Locking free finite elements

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Locking free finite elements'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Locking free finite elements"

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Reddy, J. N. "On locking-free shear deformable beam finite elements." Computer Methods in Applied Mechanics and Engineering 149, no. 1-4 (October 1997): 113–32. http://dx.doi.org/10.1016/s0045-7825(97)00075-3.

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Falk, Richard S., and Tong Tu. "Locking-free finite elements for the Reissner-Mindlin plate." Mathematics of Computation 69, no. 231 (August 20, 1999): 911–29. http://dx.doi.org/10.1090/s0025-5718-99-01165-5.

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Krysl, P., and B. Zhu. "Locking-free continuum displacement finite elements with nodal integration." International Journal for Numerical Methods in Engineering 76, no. 7 (November 12, 2008): 1020–43. http://dx.doi.org/10.1002/nme.2354.

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Chinosi, C., C. Lovadina, and L. D. Marini. "Nonconforming locking-free finite elements for Reissner–Mindlin plates." Computer Methods in Applied Mechanics and Engineering 195, no. 25-28 (May 2006): 3448–60. http://dx.doi.org/10.1016/j.cma.2005.06.025.

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Belhachmi, Z., J. M. Sac-Epée, and S. Tahir. "Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity." Mathematical Modelling of Natural Phenomena 4, no. 1 (2009): 1–20. http://dx.doi.org/10.1051/mmnp/20094101.

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Xiao, Liu-Chao, Yong-Qin Yang, and Shao-Chun Chen. "Locking-free nonconforming finite elements for three-dimensional elasticity problem." Applied Mathematics and Computation 217, no. 12 (February 2011): 5790–97. http://dx.doi.org/10.1016/j.amc.2010.12.061.

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Izzuddin, B. A., and Y. Liang. "A hierarchic optimisation approach towards locking-free shell finite elements." Computers & Structures 232 (May 2020): 105839. http://dx.doi.org/10.1016/j.compstruc.2017.08.010.

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Heisserer, Ulrich, Stefan Hartmann, Alexander Düster, and Zohar Yosibash. "On volumetric locking-free behaviour of p-version finite elements under finite deformations." Communications in Numerical Methods in Engineering 24, no. 11 (June 5, 2007): 1019–32. http://dx.doi.org/10.1002/cnm.1008.

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Arnold, Douglas N., and Franco Brezzi. "Locking-free finite element methods for shells." Mathematics of Computation 66, no. 217 (January 1, 1997): 1–15. http://dx.doi.org/10.1090/s0025-5718-97-00785-0.

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Oyarzúa, Ricardo, and Ricardo Ruiz-Baier. "Locking-Free Finite Element Methods for Poroelasticity." SIAM Journal on Numerical Analysis 54, no. 5 (January 2016): 2951–73. http://dx.doi.org/10.1137/15m1050082.

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Dissertations / Theses on the topic "Locking free finite elements"

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Fernàndez, Méndez Sònia. ""Mesh-free methods and finite elements: friend or foe?"." Doctoral thesis, Universitat Politècnica de Catalunya, 2001. http://hdl.handle.net/10803/6705.

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This thesis is devoted to the numerical analysis of mesh-free methods and, in particular, to the study of the possible advantages of the EFG (Element Free Galerkin) mesh-free method against the well-known FE (Finite Element) method. More precisely, the EFG method and the FE method behavior are compared in two particular interesting problems: (1) analysis of volumetric locking in mechanical problems and (2) accurate resolution of transient convection dominated problems. In both cases the good properties and possibilities of mesh-free methods become apparent.
However, in several situations the FE method is still more competitive: for instance, the computation of the FE shape functions and its integrals are less costly, and essential boundary conditions can be easily imposed. Thus, in order to take advantage of the good properties of both methods, a mixed interpolation combining FE and EFG is proposed. This formulation can be applied in two useful situations: (i) enrichment of finite elements with EFG, and (ii) coupling of FE and EFG. An a priori error estimate for the first one is presented and proved. Several examples show the applicability of the mixed interpolation in adaptive computations.
Aquesta tesi està dedicada a l'anàlisi numèrica dels mètodes sense malla i, en particular, a l'estudi dels possibles avantatges del mètode EFG (Element Free Galerkin) davant del ben conegut MEF (Mètode dels Elements Finits). Concretament, es comparen el mètode EFG i el MEF en dos problemes concrets d'interès: (1) l'anàlisi del bloqueig volumètric en problemes mecànics i (2) la resolució precisa de problemes transitoris amb convecció dominant. Les bones propietats i possibilitats dels mètodes sense malla es fan evidents en tots dos casos.
Tot i així, en varis aspectes el MEF resulta més competitiu: per exemple, el càlcul de les funcions de forma i de les seves integrals es menys costós, i les condicions de contorn essencials es poden imposar fàcilment. Amb l'objectiu d'aprofitar les bones qualitats dels dos mètodes, es proposa una interpolació mixta combinant elements finits y EFG, aplicable en dues situacions: (i) enriquiment d'elements finits amb EFG i (ii) acoblament d'elements finits i EFG. Per al primer cas, es presenta i demostra una cota a priori de l'error. L'aplicabilitat d'aquesta interpolació mixta en processos adaptatius es mostra amb varis exemples.
Esta tesis está dedicada al análisis numérico de los métodos sin malla y, en particular, al estudio de las posibles ventajas del método EFG (Element Free Galerkin) frente al bien conocido MEF (Método de los Elementos Finitos). Concretamente, se comparan el método EFG y el MEF en dos problemas concretos de interés: (1) el análisis del bloqueo volumétrico en problemas mecánicos y (2) la resolución precisa de problemas transitorios con convección dominante. Las buenas propiedades y posibilidades de los métodos sin malla se hacen evidentes en ambos casos.
Sin embargo, en varios aspectos el MEF resulta más competitivo: por ejemplo, el cálculo de las funciones de forma y sus integrales es menos costoso, y las condiciones de contorno esenciales se pueden imponer fácilmente. Con el objetivo de aprovechar las buenas cualidades de ambos métodos, se propone una interpolación mixta combinando elementos finitos y EFG, aplicable en dos situaciones: (i) enriquecimiento de elementos finitos con EFG, y (ii) acoplamiento de elementos finitos y EFG. Para el primer caso, se presenta y demuestra una cota a priori del error. La aplicabilidad de esta interpolación mixta en procesos adaptativos se muestra con varios ejemplos.
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Dietzsch, Julian. "Implementierung gemischter Finite-Element-Formulierungen für polykonvexe Verzerrungsenergiefunktionen elastischer Kontinua." Master's thesis, Universitätsbibliothek Chemnitz, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-217381.

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In der vorliegenden Arbeit wird ein gemischtes Element gegen Locking-Effekte untersucht. Dazu wird ein Fünf-Feld-Hu-Washizu-Funktional (CoFEM-Element) für lineare und quadratische Hexaeder-Elemente unter einer hyperelastischen, isotropen, polykonvexen sowie einer transversal-isotropen Materialformulierung implementiert. Die resultierenden nichtlinearen Gleichungen werden mithilfe eines Mehrebenen-NEWTON-RAPHSON-Verfahren unter Beachtung einer konsistenten Linearisierung gelöst. Als repräsentatives Beispiel der numerischen Untersuchungen dient der einseitig eingespannte Cook-Balken mit einer quadratischen Druckverteilung am Rand. Zur Beurteilung des CoFEM-Elements wird das räumliche Konvergenzverhalten für unterschiedliche Polynomgrade und für verschiedene Netze unter Beachtung der algorithmischen Effizienz untersucht
This paper presents a mixed finite element formulation of Hu-Washizu type (CoFEM) designed to reduce locking effects with respect to a linear and quadratic approximation in space. We consider a hyperelastic, isotropic, polyconvex material formulation as well as transverse isotropy. The resulting nonlinear algebraic equations are solved with a multilevel NEWTON-RAPHSON method. As a numerical example serves a cook-like cantilever beam with a quadratic distribution of in-plane load on the Neumann boundary. We analyze the spatial convergence with respect to the polynomial degree of the underlying Lagrange polynomials and with respect to the level of mesh refinement in terms of algorithmic efficiency
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Kobelansky, Allan John. "Divergence-free fields in the solution of waveguide problems by finite elements." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61936.

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Tchakoutio, Paul. "The numerical approximation of minimal surfaces with free boundaries by finite elements." [S.l. : s.n.], 2003. http://www.freidok.uni-freiburg.de/volltexte/765.

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Asdal, Bent. "Static and free vibration analysis of advanced composites using shear-deformable rectangular plate finite elements." Thesis, Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/80092.

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A comparison of rectangular finite elements based on a first order shear deformation plate theory and a refined higher order plate theory is presented. Special attention is given to the representation of transverse shear strain, the phenomenon of "shear locking", and the selection of the interpolating polynomial. Both C⁰ and C¹ continuity elements are represented; the elements range from: 3 or 5 DOF per node, and 12 - 27 DOF per element. Static and free vibration analysis of isotropic and laminated plates with thicknesses ranging from extremely thin to very thick are presented, along with a convergence study. The finite element results are compared with the exact plate theory solutions. Of the elements investigated, the modified refined higher order theory element exhibits the best overall behavior.
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Scheichl, Robert. "Iterative solution of saddle point problems using divergence-free finite elements with applications to groundwater flow." Thesis, University of Bath, 2000. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341106.

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Junior, Alex Neves. "Sobre a modelagem de estruturas delgadas usando elementos finitos tridimensionais." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/3/3144/tde-08122006-152205/.

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O propósito principal do presente trabalho é estabelecer diretrizes para o uso de elementos finitos sólidos na modelagem de estruturas delgadas submetidas à flexão. Por meio de um conjunto de problemas estudou-se o travamento de elementos finitos da elasticidade bi e tridimensionais, quando usados para modelar estruturas delgadas submetidas à flexão. Foram usados elementos planos de 4, 8 e 9 nós e elementos tridimensionais de 4, 10, 11, 8, 20 e 27 nós, considerando elementos não distorcidos e distorcidos. A análise dos resultados nesses modelos permitiram entender melhor o comportamento e o uso de elementos sólidos em estruturas delgadas.
The main objective of the present work is to establish guidelines for the use of solid finite elements in the modeling of thin structures submitted to bending. By means of a set of problems the locking of elements three-dimensional and two-dimensional elasticity was studied, when used to model problems thin structures subjected to bending. We use 2-D displacements-based elements of 4, 8 and 9 nodes and 3-D displacement based of 4, 10, 11, 8, 20 and 27 nodes, considering undistorted and distorted elements. The analysis of the results of these models lead to the understanding of the behavior and the use of solid elements in thin structures.
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Wang, Peng. "Solid–shell finite elements for quasi-static and dynamic analysis of 3D thin structures : application to sheet metal forming processes." Thesis, Paris, ENSAM, 2017. http://www.theses.fr/2017ENAM0010/document.

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La simulation numérique par la méthode des éléments finis (MEF) fournit de nos jours une grande aide pour les ingénieurs dans les processus de conception d’optimisation des produits. Malgré le développement croissant des ressources de calcul, la fiabilité et l’efficacité des simulations numériques par la MEF restent à améliorer. Ce travail de thèse consiste à développer une famille d’éléments solide-coque (SHB) pour la modélisation tridimensionnelle des structures minces. Cette famille d’éléments SHB est basée sur une formulation tridimensionnelle en grands déplacements et rotations. La technique dite “d’intégration réduite dans le plan”, en utilisant un nombre arbitraire de points d’intégration dans la direction de l’épaisseur, permet la modélisation des structures minces avec une seule couche d'éléments. Dans ce travail de thèse, deux éléments linéaires SHB prismatique et hexaédrique, ainsi que leurs contreparties quadratiques, ont été implantés dans le code par éléments finis ABAQUS pour l’analyse quasi-statique et dynamique des structures minces. La performance de ces éléments a été validée à travers une série de cas tests académiques, ainsi que sur des problèmes complexes de type impact/crash et des procédés de mise en forme de tôles minces. L'ensemble des résultats numériques obtenus révèle que les éléments SHB représentent une alternative intéressante aux éléments coques et solides traditionnels pour la modélisation tridimensionnelle des structures minces
Nowadays, the finite element (FE) simulation provides great assistance to engineers in the design of products and optimization of manufacturing processes. Despite the growing development of computational resources, reliability and efficiency of the FE simulations remain the most important features. The current work contributes to the development of a family of assumed strain based solid-shell elements (SHB), for the modeling of 3D thin structures. Based on reduced integration and special treatments to eliminate locking effects and to control spurious zero-energy modes, the SHB solid‒shell elements are capable of modeling most thin 3D structural problems with only a single element layer, while describing accurately the various through-thickness phenomena. In the current contribution, a family of prismatic and hexahedral SHB elements with their linear and quadratic versions have been implemented into ABAQUS using both standard/quasi-static and explicit/dynamic solvers. The performance of the SHB elements is evaluated via a series of popular benchmarks as well as with impact/crash and sheet metal forming processes. All numerical results reveal that the SHB elements represent an interesting alternative to traditional shell and solid elements for the 3D modeling of thin structural problems
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Albuquerque, Arthur Álax de Araújo. "Implementação de elementos finitos de barra e placa para a análise de esforços em tabuleiros de pontes por meio de superfícies de influência." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-28072014-093844/.

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Este trabalho consiste em analisar os esforços em tabuleiros de pontes por meio de superfícies de influência. Para isto, o método dos elementos finitos (MEF) é utilizado e os resultados são comparados com os das tabelas de Rüsch. Os elementos finitos de barra, representando longarinas e transversinas, e placa, as lajes do tabuleiro, são implementados no código SIPlacas. Estes elementos finitos são formulados pelas teorias de viga Timoshenko e placa Reissner-Mindlin, respectivamente. Estes apresentam problema de travamento de força cortante (Shear Locking), que é contornado por duas propostas: o artifício matemático da integração reduzida e elementos finitos com campo assumido de deformação de força cortante (CADFC). Verifica-se que os elementos com aproximações quadráticas para os deslocamentos e com CADFC são os que melhor se adequam à proposta de análise da presente pesquisa. Tais elementos apresentam convergência de resultados considerando estruturas com baixa discretização. Os resultados analisados foram o deslocamento, momento fletor e força cortante. Posteriormente realiza-se um estudo de caso de uma ponte em viga. O tabuleiro da ponte é calculado utilizando-se as tabelas de Rüsch e o código SIPlacas. O cálculo dos esforços pelo SIPlacas é realizado de três maneiras. Na primeira consideram-se os painéis de lajes do tabuleiro isolados; na segunda o tabuleiro está sobre apoios não deslocáveis; e na terceira, o tabuleiro apresenta-se com vigas acopladas. Foi concluído que a terceira configuração, cuja representação melhor se aproxima da estrutura real de análise, apresentou os menores esforços internos.
This work aims at the analysis of bridge deck stresses through influence surfaces. The finite element method (FEM) is used and the results are compared with those of Rüsch\'s tables. The bar and plate finite elements represent stringers, cross beams and slabs bridge deck. These finite elements are implemented in the SIPlacas code and the theories of Timoshenko beam and Reissner-Mindlin plate are used to theirs formulation. The Shear Locking problem is solved by two proposals: reduced integration and definition of element with transversal shear strain assumed (TSSA). The elements with quadratic approximations for the displacements and TSSA are the best suited to the proposed analysis of this research. Such elements have convergence of results considering structures with low discretization. Displacement, bending moment and shear force were the results analyzed. Subsequently a case study on a beam bridge was carried out. The bridge deck is calculated using Rüsch\'s tables and SIPlacas code. The calculation of the internal forces by SIPlacas is performed in three ways. The first one considers the slabs isolated panels; the second, the slab deck is on a rigid support; and third, the slab deck is on deformable supports. It was concluded that the third configuration showed the lowest internal forces. This configuration is the optimum representation to the structure analysis.
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Le, Thi Huyen Cham. "Robust variable kinematics plate finite elements for composite structures." Thesis, Paris 10, 2019. http://faraway.parisnanterre.fr/login?url=http://bdr.parisnanterre.fr/theses/intranet/2019/2019PA100053/2019PA100053.pdf.

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Le but de ce travail est de développer deux nouveaux éléments finis quadrilatéraux à quatre et à huit nœuds implantés dans le code commercial de calcul par Eléments Finis (EF) Abaqus pour plaques composites. Les modèles plaques à cinématique variable sont formulés dans le cadre de la formulation unifiée de Carrera (CUF), qui regroupent des descriptions de type: couche équivalente (ESL) et couches discrètes (LW), avec les variables définies par des polynômes jusqu’au 4ème ordre suivant épaisseur z. Les deux formulations variationnelles sont utilisées pour dériver les matrices des éléments finis: le Principe des Déplacements Virtuels (PVD) et le Théorème Variationnel Mixte de Reissner (RMVT). Grâce à la technique de condensation statique, une formulation hybride basée sur le RMVT est introduite. Afin d’éliminer la pathologie de verrouillage en cisaillement transverse, deux approximations compatibles pour le champ de déformations de cisaillement transverse indépendantes en z, notée QC4 et CL8, sont étendues aux éléments plaques à cinématique variable basés sur CUF. De plus, les QC4S et CL8S interpolations sont également introduites pour les contraintes de cisaillement transverse dans les éléments mixtes et les éléments hybrides. Les résultats numériques comparés à ceux disponibles dans la littérature montrent que les FE proposés sont efficaces pour modéliser des éléments finis robustes
The aim of this work is the development of two classes of new four-node and eightnode quadrilateral finite elements implemented into the commercial finite element (FE) code Abaqus for composite plates. Variable kinematics plate models are formulated in the framework of Carrera’s Unified Formulation (CUF), which encompasses Equivalent Single Layer (ESL) as well as Layer-Wise (LW) models, with the variables that are defined by polynomials up to 4th order along the thickness direction z. The two classes refer to two variational formulations that are employed to derive the finite elements matrices, namely the Principle of Virtual Displacement (PVD) and Reissner’s Mixed Variational Theorem (RMVT). Thanks to the static condensation technique, a Hybrid formulation based on the RMVT is derived. For the purpose of eliminating the shear locking pathology, two field compatible approximations for only the z−constant transverse shear strain terms, referred to as QC4 and CL8 interpolations, are extended to all variable kinematics CUF plate elements. Moreover, the QC4S and CL8S interpolations, are also introduced for the transverse shear stress field within RMVT-based and Hybrid mixed-based elements. Numerical results in comparison with those available in literature show that the proposed FEs are efficient for modeling a robust finite elements
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Books on the topic "Locking free finite elements"

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Hachenberger, Dirk. Finite Fields: Normal Bases and Completely Free Elements. Boston, MA: Springer US, 1997.

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Hachenberger, Dirk. Finite fields: Normal bases and completely free elements. Boston: Kluwer Academic Publishers, 1997.

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Sager, Ali. On elements of finite order in free central extensions of groups. Manchester: UMIST, 1997.

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Madenci, Erdogan. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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United States. National Aeronautics and Space Administration., ed. Traction free finite elements with the assumed stress hybrid model. [Washington, DC]: National Aeronautics and Space Administration, 1991.

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Center, Langley Research, and United States. National Aeronautics and Space Administration., eds. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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Center, Langley Research, and United States. National Aeronautics and Space Administration., eds. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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Grishman, Ralph. Information Extraction. Edited by Ruslan Mitkov. Oxford University Press, 2012. http://dx.doi.org/10.1093/oxfordhb/9780199276349.013.0030.

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Information extraction (IE) is the automatic identification of selected types of entities, relations, or events in free text. This article appraises two specific strands of IE — name identification and classification, and event extraction. Conventional treatment of languages pays little attention to proper names, addresses etc. Presentations of language analysis generally look up words in a dictionary and identify them as nouns etc. The incessant presence of names in a text, makes linguistic analysis of the same difficult, in the absence of the names being identified by their types and as linguistic units. Name tagging involves creating, several finite-state patterns, each corresponding to some noun subset. Elements of the patterns would match specific/classes of tokens with particular features. Event extraction typically works by creating a series of regular expressions, customized to capture the relevant events. Enhancement of each expression is corresponded by a relevant, suitable enhancement in the event patterns.
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Book chapters on the topic "Locking free finite elements"

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Dasgupta, Gautam. "Incompressible Plane Strain Elements: Locking-Free in the x and y Directions." In Finite Element Concepts, 147–73. New York, NY: Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4939-7423-8_8.

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Dasgupta, Gautam. "Four-Node “Locking-Free” Elements: Capturing Analytical Stresses in Pure Bending: For Two Orthogonal Directions." In Finite Element Concepts, 131–46. New York, NY: Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4939-7423-8_7.

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Chapelle, Dominique, and Rolf Stenberg. "Locking-free mixed stabilized finite element methods for bending-dominated shells." In Plates and Shells, 81–94. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/crmp/021/06.

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Cuvelier, C., A. Segal, and A. A. van Steenhoven. "Divergence-free elements." In Finite Element Methods and Navier-Stokes Equations, 288–322. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-010-9333-0_9.

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Hachenberger, Dirk. "The Existence of Completely Free Elements." In Finite Fields, 75–97. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6269-6_4.

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Liang, Y., and B. Izzuddin. "An optimisation approach towards locking-free isotropic shell elements." In Insights and Innovations in Structural Engineering, Mechanics and Computation, 491–97. Taylor & Francis Group, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487-2742: CRC Press, 2016. http://dx.doi.org/10.1201/9781315641645-82.

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Pechstein, Astrid S., Martin Meindlhumer, Alexander Humer, and Michael Krommer. "Locking Free High-Order Mixed Elements for Ferroelectric Polarization." In Advanced Structured Materials, 173–86. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79325-8_15.

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Bergan, P. G., and M. K. Nygård. "Nonlinear Shell Analysis Using Free Formulation Finite Elements." In Finite Element Methods for Nonlinear Problems, 317–38. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82704-4_18.

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Huang, Hou-Cheng. "Theory of Degenerated Curved Shell and Locking in Shell Finite Elements." In Numerical Techniques for Engineering Analysis and Design, 111–18. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3653-9_13.

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Nygård, M. K., and P. G. Bergan. "Nonconforming Finite Elements Based on the Free Formulation." In Discretization Methods in Structural Mechanics, 71–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-49373-7_7.

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Conference papers on the topic "Locking free finite elements"

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Wasfy, Tamer, Hatem Wasfy, Paramsothy Jayakumar, and Srinivas Sanikommu. "Validation of a High-Fidelity Finite Element Tire Model on Pavement." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22763.

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Abstract The objective of this study is to validate a high-fidelity finite element tire model on hard pavement. In this model, the tire rubber matrix is modeled using locking-free brick elements with embedded thin beam elements along the tire’s circumference, meridian, and diagonals for modeling the tire’s reinforcements (belt, ply and bead). The internal air pressure is applied as a distributed force on the inner surface of the brick elements. Frictional contact between the outer surface of the brick elements and the pavement is modeled using the penalty method along with an asperity based Coulomb friction model. In order to validate the tire model, a medium duty truck tire is modeled and the following response quantities are compared to experimental results: (1) normal load versus deflection at different tire pressures; (2) rolling resistance versus speed; (3) longitudinal force versus slip; (4) lateral force versus slip angle for different normal loads; and (5) self-aligning torque versus slip angle for different normal loads.
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Tang, Xiaowei, Ying Jie, and Maotian Luan. "A Coupled Finite Element-Element Free Galerkin Method for Liquefiable Soil-Structure Interaction Analysis Under Earthquake Loading." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-80174.

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This study presents a numerical method for the seismic behavior assessment of liquefiable soil-structure interaction. In the method, the element-free Galerkin method (EFGM) is applied to simulate the behavior of the liquefiable sandy soil which will take place large permanent deformation under earthquake loading. The finite element method (FEM) is used to describe the behavior of the structure. Then, the EFGM and FEM are related by contact elements. The cyclic elasto-plastic constitutive model and updated Lagrangian large-deformation formulation are jointly adopted to establish the governing equations in order to take account for both physical and geometrical nonlinearities. The shape function is established by moving least squares method while hexahedral background cells are used. The essential boundary conditions are treated with the help of the penalty method. The coupled method can avoid the volumetric locking in the numerical computations using finite element method when non-uniform deformations happen. In order to assess the effectiveness and accuracy of the current procedure, numerical simulation of caisson-type quay wall subjected to earthquake motion is conducted.
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Kapoor, Hitesh, and Rakesh Kapania. "Locking Free and Stabilized Geometrically Nonlinear NURBS Isogeometric finite element Analysis of Laminated Composite Plate." In 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-2165.

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Iura, M. "Finite Element Formulation for Dynamic Analysis of Planar Flexible Beams With Finite Rotations." In ASME 1993 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/cie1993-0011.

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Abstract An efficient formulation for dynamic analysis of planar Timoshenko’s beam with finite rotations is presented. Both an inertial frame and a rotating frame are introduced to simplify computational manipulation. The kinetic energy of the system is obtained by using the inertial frame so that it takes a quadratic uncoupled form. The rotating frame together with the small strain assumption is employed to derive the strain energy of the system. Since the exact solutions for linear static theory of Timoshenko’s beam are employed to obtain the strain energy, the present stiffness operator is free from the shear locking without using any special technique. Nonlinear effects appear only in the transformation of displacement components between global and local coordinates. This results in a drastic simplification of nonlinear dynamic analysis of flexible beams. Numerical examples, including a planar mechanism, demonstrate the accuracy and efficiency of the present formulation.
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Shastry, A. V. S. Ravi, and Pramod Kumar. "Frequency Response of a Three-Node Finite Element for Composite Thin and Thick Plates." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61097.

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A shear-locking free isoparametric three-node triangular finite element is considered for the study of frequency response of moderately thick and thin composite plates. The strain displacement relationship is based on Reissner-Mindlin plate theory that accounts for transverse shear deformations into the plate formulation to circumvent the shear locking effect. The element is developed with full integration scheme; hence the element remains kinematically stable. The performance of the element for the case of static load response using the shear correction terms to shear strain components applied to a composite plate has been studied. The natural frequencies and mode shapes in accordance with varying mode numbers, are deduced and the results are compared with the available analytical and finite element solutions in literature.
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Yamashita, Hiroki, Paramsothy Jayakumar, and Hiroyuki Sugiyama. "Modeling of Deformable Tire and Soil Interaction Using Multiplicative Finite Plasticity for Multibody Off-Road Mobility Simulation." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59294.

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The objective of this study is to develop a physics-based tire/soil interaction model that can be fully integrated into general multibody dynamics computer algorithms. To this end, a continuum soil model using multiplicative plasticity theory with Drucker-Prager failure criterion is integrated with the high-fidelity flexible tire model developed using the shear deformable laminated composite shell elements for deformable tire/terrain interaction simulation. The element locking of the standard 8-node brick element caused by the tri-linear polynomial can be alleviated by introducing an additional node defining the second derivative of the global position vector at the center of the element, allowing for describing the linear strain distribution over the element volume without introducing enhanced assumed strain (EAS). The benchmark test result indicates that the identical rate of convergence to that of the locking-free 8-node brick element with 9-parameter EAS is obtained using the brick element presented in this study. Since the constitutive equation for soil models is highly nonlinear in nature, involving iterative return mapping algorithm to find the plastic strain every time step, elimination of EAS using the 9-node brick element leads to straightforward implementation for soil model and computationally efficient procedure for tire/soil interaction simulation. Numerical example of deformable tire and terrain interaction simulation is presented to demonstrate the numerical procedure developed in this study.
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Senjanović, Ivo, Nikola Vladimir, Dae-Seung Cho, and Tae-Muk Choi. "Vibration Analysis of Thick Plates: Analytical and Numerical Approaches." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23273.

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In this paper an examination of methods for vibration analysis of moderately thick rectangular plates has been presented. First, the state-of-the art in thick plate vibration theories and analysis methods is described and it is followed with basic equations of the original Mindlin theory, which represents a starting point for the development of all other mathematical models. Then, the problem of analytical solving of equilibrium equations is considered based on the modified Mindlin theory of thick plate vibrations, which has been published in the literature recently. Further, energy methods that can be applied to arbitrary boundary conditions are discussed and outline of the assumed mode method is presented. Finally, in the context of numerical methods a new quadrilateral finite element, based on the above mentioned advanced thick plate theory, is included. It should be emphasized that it doesn’t suffers of shear locking problem associated with finite elements, due to natural relation among bending and shear polynomials, and moreover, it gives very accurate results. Application of the presented methods is illustrated by several numerical examples which include natural vibration analyses of rectangular plates with various thicknesses and different combinations of boundary conditions (simply supported, clamped, free and elastically restrained). Comparisons of natural frequencies and mode shapes with results available in the relevant literature and with those obtained by the commercial finite element software are also provided.
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Richter, C. C., and G. R. Heppler. "L-Spline Finite Elements." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81747.

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The L-spline finite element method is applied to the static deflection analysis and linear vibration analysis of curved Euler-Bernoulli and Timoshenko beams. A formal definition of membrane locking is presented along with a simple test that allows a priori determination of an L-spline finite element models susceptibility to locking. Formulations for both types of beam models, that under certain discretizations experience locking are presented. Examples that demonstrate the efficacy of the locking test and illustrate the L-spline finite element method performance are included.
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j, Petrolito. "The Free Formulation and Thick Plate Finite Elements." 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_039.

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Balch, Chad D. "Structural Finite Elements With High-Order Basis Functions." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0099.

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Abstract In the p-version of the finite element method, convergence is achieved by increasing the polynomial order of the elements. This paper discusses high-order three-dimensional carved beam and shell elements which have been implemented in a general purpose p-version linear finite element code. The displacement and rotation fields are represented by polynomials up to ninth order. Beam axes are three-dimensional space curves, and shell midsurfaces are general doubly-curved surfaces. Results for linear static and modal analyses are presented. In particular, it is demonstrated that a relatively small number of elements provide highly accurate results for typical benchmark problems. The elements perform robustly, with no locking or spurious deformation modes.
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Reports on the topic "Locking free finite elements"

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Epperly, E., A. Barker, and R. Falgout. Smoothers for Matrix-Free Algebraic Multigrid Preconditioning of High-Order Finite Elements. Office of Scientific and Technical Information (OSTI), September 2020. http://dx.doi.org/10.2172/1660522.

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