A one-point integration quadrilateral with hourglass control in axisymmetric geometry (Q1111815)
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scientific article; zbMATH DE number 4076771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A one-point integration quadrilateral with hourglass control in axisymmetric geometry |
scientific article; zbMATH DE number 4076771 |
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A one-point integration quadrilateral with hourglass control in axisymmetric geometry (English)
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1988
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A one-point integration scheme which analytically integrates element volume and uniform strain modes for general isoparametric quadrilateral elements in axisymmetric geometry is described. A method for isolating proper hourglass modes is presented. It is shown that these modes rather differ from hourglass modes in plane Cartesian geometry, especially near the axis of symmetry. A simple elastic and viscous hourglass control scheme is presented and discussed. Bounds on quadrilateral eigenvalues that provide stable time steps for explicit time integration algorithms are obtained considering isotropic hypoelastic material. Numerical examples demonstrate the effectiveness of the developed technique for a finite element code.
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analytical integration of element volume and uniform strain modes
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isoparametric quadrilateral
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axisymmetric geometry
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isolating proper hourglass modes
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Bounds on quadrilateral eigenvalues
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stable time steps
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explicit time integration algorithms
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isotropic hypoelastic material
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