Quadrilateral with high coarse-mesh accuracy for solid mechanics in axisymmetric geometry

DOI10.1016/0045-7825(91)90257-7zbMath0745.73016OpenAlexW2070000405MaRDI QIDQ1190446

P. Matejovič

Publication date: 26 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.20/29258

zbMATH Keywords

stabilization matrixhigh coarse-mesh accuracybending problemsmixed variational principlesHu- Washizu variational principle4-node axisymmetric elementcylindrical hourglass projectionunderintegrated matrix

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10)

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A new axi-symmetric element for thin walled structures ⋮ An improved one-point integration method for large strain elastoplastic analysis ⋮ High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics ⋮ Unified and mixed formulation of the 8-node hexahedral elements by assumed strain method

Cites Work

• Hourglass control in linear and nonlinear problems
• A consolidation of various approaches in developing naturally based quadrilaterals
• Efficient implementation of quadrilaterals with high coarse-mesh accuracy
• A one-point integration quadrilateral with hourglass control in axisymmetric geometry
• A diffusion equation with hourglass control in an axisymmetric geometry
• Limitation principles for mixed finite elements based on the Hu-Washizu variational formulation
• Mixed variational principles and stabilization of spurious modes in the 9-node element
• Axisymmetric elements with high coarse-mesh accuracy
• A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
• An efficient quadrilateral element for plate bending analysis

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