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

M. Bercovier; E. Livne

doi:10.1007/BF02575759

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

M. Bercovier^*
, E. Livne

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We introduce a quadrilateral element for plane strain or axisymmetric analysis of incompressible or nearly incompressible materials. This quadrilateral is made of four constant strain triangles. The divergence is taken as constant over the quadrilaterals; Lagrange multipliers are avoided by using a penalty function approach. Numerical examples are given. Such an element can also be used for the solution of Navier-Stokes equations.

Original language	English
Pages (from-to)	5-19
Number of pages	15
Journal	Calcolo
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/BF02575759
State	Published - Jan 1979

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title = "A 4 CST quadrilateral element for incompressible materials and nearly incompressible materials",

abstract = "We introduce a quadrilateral element for plane strain or axisymmetric analysis of incompressible or nearly incompressible materials. This quadrilateral is made of four constant strain triangles. The divergence is taken as constant over the quadrilaterals; Lagrange multipliers are avoided by using a penalty function approach. Numerical examples are given. Such an element can also be used for the solution of Navier-Stokes equations.",

author = "M. Bercovier and E. Livne",

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AB - We introduce a quadrilateral element for plane strain or axisymmetric analysis of incompressible or nearly incompressible materials. This quadrilateral is made of four constant strain triangles. The divergence is taken as constant over the quadrilaterals; Lagrange multipliers are avoided by using a penalty function approach. Numerical examples are given. Such an element can also be used for the solution of Navier-Stokes equations.

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

Abstract

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