Four-node generalized conforming membrane elements with drilling DOFs using quadrilateral area coordinate methods

DOI10.1155/2015/328612zbMath1394.74094OpenAlexW1560038181WikidataQ59118044 ScholiaQ59118044MaRDI QIDQ1665379

Xiao-Ming Chen, Song Cen, Yun-Gui Li, Jian-Yun Sun

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/328612

Mathematics Subject Classification ID

Membranes (74K15)

Cites Work

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• Corotational nonlinear analyses of laminated shell structures using a 4-node quadrilateral flat shell element with drilling stiffness
• Several treatments on nonconforming element failed in the strict patch test
• On drilling degrees of freedom
• Application of the quadrilateral area coordinate method: a new element for laminated composite plate bending problems
• On convergence of nonconforming convex quadrilateral finite elements AGQ6
• One point quadrature shell elements: a study on convergence and patch tests
• Quadrilateral membrane element family formulated by the quadrilateral area coordinate method
• A triangular membrane element with rotational degrees of freedom
• Formulation of a membrane finite element with drilling degrees of freedom
• Development of eight-node quadrilateral membrane elements using the area coordinate method
• Development of a new quadrilateral thin plate element using area coordinates
• Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes
• A highly efficient membrane finite element with drilling degrees of freedom
• A hybrid Trefftz plane elasticity element with drilling degrees of freedom
• Making sense of the quadrilateral area coordinate membrane elements
• An efficient 4‐node 24 D.O.F. thick shell finite element with 5‐point quadrature
• A new quadrilateral shell element using 16 degrees of freedom
• Static and dynamic convergence studies of a four-noded membrane finite element with rotational degrees of freedom based on displacement superposition
• Generalized conforming quadrilateral membrane element with vertex rigid rotational freedom
• Rational approach for assumed stress finite elements
• A compatible triangular element including vertex rotations for plane elasticity analysis
• A robust quadrilateral membrane finite element with drilling degrees of freedom
• Analysis of a rotation-free 4-node shell element
• Application of the quadrilateral area co-ordinate method: a new element for Mindlin–Reissner plate
• A new approach to reduce membrane and transverse shear locking for one-point quadrature shell elements: linear formulation
• Enhanced one-point quadrature shell element for nonlinear applications
• A new quadrilateral area coordinate method (QACM-II) for developing quadrilateral finite element models
• Eight-node membrane element with drilling degrees of freedom for analysis of in-plane stiffness of thick floor plates
• Quadrilateral membrane elements with analytical element stiffness matrices formulated by the new quadrilateral area coordinate method (QACM-II)
• A refined four-noded membrane element with rotational degrees of freedom
• Evaluation of the constant strain triangle with drilling rotations
• Finite element formulation by nested interpolations: Application to the drilling freedom problem
• An assumed-stress hybrid 4-node shell element with drilling degrees of freedom
• A non-conforming element for stress analysis
• A simple flat triangular shell element revisited
• Effects of element distortions on the performance of isoparametric elements
• Two hybrid stress membrane finite element families with drilling rotations
• A plane hybrid element with rotational d.o.f. and adjustable stiffness
• A quadrilateral thin shell element based on area co-ordinate for explicit dynamic analysis
• The analytical element stiffness matrix of a recent 4‐node membrane element formulated by the quadrilateral area co‐ordinate method
• Generalized conforming triangular membrane element with vertex rigid rotational freedoms

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