A 4 CST quadrilateral element for incompressible materials and nearly incompressible materials

DOI10.1007/BF02575759zbMath0418.73009MaRDI QIDQ1131864

E. Livne, Michel Bercovier

Publication date: 1979

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

Lagrange multipliersstrainnumerical examplesincompressiblequadrilateral elementnearly incompressible materialsaxisymmetric analysispenalty function approachfour constant strain triangles

Mathematics Subject Classification ID

Variational principles of physics (49S05)

Related Items

On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes ⋮ An HDG method for linear elasticity with strong symmetric stresses ⋮ Analysis of an HDG method for linear elasticity ⋮ Perturbation of mixed variational problems. Application to mixed finite element methods ⋮ A finite element for the numerical solution of viscous incompressible flows ⋮ New analytical tools for HDG in elasticity, with applications to elastodynamics ⋮ A hybridizable discontinuous Galerkin method for linear elasticity

Cites Work

• On numerically accurate finite element solutions in the fully plastic range
• Perturbation of mixed variational problems. Application to mixed finite element methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Stresses in nearly incompressible materials by finite elements with application to the calculation of excess pore pressures
• Reduced integration technique in general analysis of plates and shells
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