Enhanced one‐point quadrature shell element for nonlinear applications

Keywords

Quadrature (astronomy), Nonlinear system, Shell (structure), Element (criminal law), Mathematics

References

• Static and Dynamic Analyses of Plates and Shells: Theory, Software and ApplicationsHou-Cheng Huang — 1989
• Skew plates and structuresL. S. D. Morley — 1963
• Projection schemes for one-point quadrature shell elementsTed Belytschko, Itai Leviathan — 1994
• Membrane elements insensitive to distortion using the quadrilateral area coordinate methodXiao-Ming Chen, Song Cen, Yu‐Qiu Long — 2004
• On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theoryJ.C. Simo, David Fox, M. S. Rifai — 1990
• About linear and quadratic Solid-Shell elements at large deformationsM. Harnau, Karl Schweizerhof — 2002
• Explicit algorithms for the nonlinear dynamics of shellsTed Belytschko, Jerry I. Lin, Tsay Chen-Shyh — 1984
• Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: theoretical and computational analysisRobert Eberlein, Peter Wriggers — 1999
• EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elementsU. Andelfinger, Ekkehard Ramm — 1993
• Higher‐order MITC general shell elementsMiguel Luiz Bucalém, Klaus‐Jüen Bathe — 1993
• Further development of a three‐node triangular shell elementRobert D. Cook — 1993
• A continuum mechanics based four‐node shell element for general non‐linear analysisEduardo N. Dvorkin, Klaus‐Jürgen Bathe — 1984
• Development of shear locking‐free shell elements using an enhanced assumed strain formulationJosé M. A. César de Sá, Renato Natal Jorge, Robertt Valente — 2002
• Efficient remedy for membrane locking of 4-node flat shell elements by non-conforming modesChang‐Koon Choi, Tae-Yeol Lee — 2003
• On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspectsJ.C. Simo, David Fox, M. S. Rifai — 1989
• Physical stabilization of the 4-node shell element with one point quadratureTed Belytschko, Itai Leviathan — 1994
• Shear deformable shell elements for large strains and rotationsManfred Bischoff, Ekkehard Ramm — 1997
• A CLASS OF MIXED ASSUMED STRAIN METHODS AND THE METHOD OF INCOMPATIBLE MODESJ.C. Simo, M. S. Rifai — 1990
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems☆J.C. Simo, F. Armero, Robert L. Taylor — 1993
• Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strainsPeter Betsch, E. Stein — 1999

Cited by

• An Improved Quadrilateral Flat Element with Drilling Degrees of Freedom for Shell Structural AnalysisHieu Nguyen‐Van, N. Mai‐Duy, T. Tran‐Cong — 2009
• Nonlinear Thermomechanical Analysis of Structures Using OpenSeesJian Jiang — 2015
• Four-node Generalized Conforming Membrane elements with Drilling DOFs Using Quadrilateral Area Coordinate MethodsXiao-Ming Chen, Song Cen, Jianyun Sun — 2015
• An unsymmetric 4‐node, 8‐DOF plane membrane element perfectly breaking through MacNeal's theoremSong Cen, Peilei Zhou, Chenfeng Li — 2015
• Mixed finite element formulations with volume bubble functions for triangular elementsIsmail Caylak, Rolf Mahnken — 2011
• On convergence of nonconforming convex quadrilateral finite elements AGQ6Rado Flajs, Song Cen, M. Saje — 2010
• The third form of the quadrilateral area coordinate method (QACM-III): Theory, application, and scheme of composite coordinate interpolationZhi-Fei Long, Song Cen, Li Wang — 2010
• Hexahedral volume coordinate method (HVCM) and improvements on 3D Wilson hexahedral elementHongguang Li, Song Cen, Zhangzhi Cen — 2008
• Introduction To The Third Form Of The Quadrilateral Area Coordinate Method (QACM‐III)Song Cen, Zhi-Fei Long, Li Wang — 2010
• A new quadrilateral area coordinate method (QACM‐II) for developing quadrilateral finite element modelsXiao‐Ming Chen, Song Cen, Xiang‐Rong Fu — 2008
• Puncture fracture in an aluminum beverage canJeong Whan Yoon, Rui P.R. Cardoso, Robert E. Dick — 2010
• Geometrically nonlinear analysis with a 4-node membrane element formulated by the quadrilateral area coordinate methodYu Du, Song Cen — 2008
• A New Axi‐Symmetric Element for Thin Walled StructuresRui P.R. Cardoso, Jeong Whan Yoon, Robert E. Dick — 2010
• Quadrilateral membrane element family formulated by the quadrilateral area coordinate methodSong Cen, Xiao-Ming Chen, Xiang‐Rong Fu — 2007
• A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problemsMarco Schwarze, Stefanie Reese — 2009
• Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functionsRolf Mahnken, Ismail Caylak — 2008
• Application of the continuum shell finite element SHB8PS to sheet forming simulation using an extended large strain anisotropic elastic–plastic formulationAbdellah Salahouelhadj, Farid Abed‐Meraim, Hocine Chalal — 2012
• Quadrilateral membrane elements with analytical element stiffness matrices formulated by the new quadrilateral area coordinate method (QACM‐II)Song Cen, Xiao‐Ming Chen, Chenfeng Li — 2009
• Several Treatments on Nonconforming Element Failed in the Strict Patch TestXiao-Ming Chen, Song Cen, Yungui Li — 2013
• A new axi-symmetric element for thin walled structuresRui P.R. Cardoso, Jeong Whan Yoon, Robert E. Dick — 2009

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