New enhanced strain elements for incompressible problems

DOI<229::AID-NME503>3.0.CO;2-I 10.1002/(SICI)1097-0207(19990120)44:2<229::AID-NME503>3.0.CO;2-IzbMath0937.74062OpenAlexW1976624602MaRDI QIDQ4248599

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Publication date: 7 June 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990120)44:2<229::aid-nme503>3.0.co;2-i

zbMATH Keywords

mixed methodbeam bendingCook's membraneenhanced strain elementextra compatibles modes of deformationincompressible subspace

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

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Cites Work

• Unnamed Item
• Efficient implementation of quadrilaterals with high coarse-mesh accuracy
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Design of simple low order finite elements for large strain analysis of nearly incompressible solids
• On numerically accurate finite element solutions in the fully plastic range
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• A FORMULATION OF THE QS6 ELEMENT FOR LARGE ELASTIC DEFORMATIONS
• Generalization of selective integration procedures to anisotropic and nonlinear media
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• A non-conforming element for stress analysis
• Stresses in nearly incompressible materials by finite elements with application to the calculation of excess pore pressures
• A formulation for the 4‐node quadrilateral element
• A class of mixed assumed strain methods and the method of incompatible modes

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