Implementation and application of a 9-node Lagrange shell element with spurious mode control

Ted Belytschko; Liu Wing-Kam; Shau-Jen Ong Jame Shau-Jen Ong; Dennis Lam

doi:10.1016/0045-7949(85)90061-6

Implementation and application of a 9-node Lagrange shell element with spurious mode control

Ted Belytschko^*, Liu Wing-Kam, Shau-Jen Ong Jame Shau-Jen Ong, Dennis Lam

^*Corresponding author for this work

Mechanical Engineering

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

65 Scopus citations

Abstract

The implementation of a 9-node Lagrange element with uniform reduced quadrature (2 × 2) and spurious mode control for plates and shells is described. Both linear and nonlinear problems are considered. Comparisons are made with full integration (3 × 3) and selective reduced integration versions of this element. It is shown that in all cases, the rate of convergence of this element is significantly superior over that of the other two elements and that the spurious mode control procedure effectively eliminates all difficulties associated with zero-energy modes. The element does not exhibit any symptoms of membrane or shear locking nor any spatial oscillations in the solutions.

Original language	English (US)
Pages (from-to)	121-128
Number of pages	8
Journal	Computers and Structures
Volume	20
Issue number	1-3
DOIs	https://doi.org/10.1016/0045-7949(85)90061-6
State	Published - 1985

ASJC Scopus subject areas

Civil and Structural Engineering
Modeling and Simulation
Materials Science(all)
Mechanical Engineering
Computer Science Applications

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10.1016/0045-7949(85)90061-6

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title = "Implementation and application of a 9-node Lagrange shell element with spurious mode control",

abstract = "The implementation of a 9-node Lagrange element with uniform reduced quadrature (2 × 2) and spurious mode control for plates and shells is described. Both linear and nonlinear problems are considered. Comparisons are made with full integration (3 × 3) and selective reduced integration versions of this element. It is shown that in all cases, the rate of convergence of this element is significantly superior over that of the other two elements and that the spurious mode control procedure effectively eliminates all difficulties associated with zero-energy modes. The element does not exhibit any symptoms of membrane or shear locking nor any spatial oscillations in the solutions.",

author = "Ted Belytschko and Liu Wing-Kam and {Jame Shau-Jen Ong}, {Shau-Jen Ong} and Dennis Lam",

note = "Funding Information: Ackno&edgemenr-The supporto f the Air Force Office of Scientific Researchu nder Grant F-49620-82-K-001is3 gratefullya cknowledged.",

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doi = "10.1016/0045-7949(85)90061-6",

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T1 - Implementation and application of a 9-node Lagrange shell element with spurious mode control

AU - Belytschko, Ted

AU - Wing-Kam, Liu

AU - Jame Shau-Jen Ong, Shau-Jen Ong

AU - Lam, Dennis

N1 - Funding Information: Ackno&edgemenr-The supporto f the Air Force Office of Scientific Researchu nder Grant F-49620-82-K-001is3 gratefullya cknowledged.

PY - 1985

Y1 - 1985

N2 - The implementation of a 9-node Lagrange element with uniform reduced quadrature (2 × 2) and spurious mode control for plates and shells is described. Both linear and nonlinear problems are considered. Comparisons are made with full integration (3 × 3) and selective reduced integration versions of this element. It is shown that in all cases, the rate of convergence of this element is significantly superior over that of the other two elements and that the spurious mode control procedure effectively eliminates all difficulties associated with zero-energy modes. The element does not exhibit any symptoms of membrane or shear locking nor any spatial oscillations in the solutions.

AB - The implementation of a 9-node Lagrange element with uniform reduced quadrature (2 × 2) and spurious mode control for plates and shells is described. Both linear and nonlinear problems are considered. Comparisons are made with full integration (3 × 3) and selective reduced integration versions of this element. It is shown that in all cases, the rate of convergence of this element is significantly superior over that of the other two elements and that the spurious mode control procedure effectively eliminates all difficulties associated with zero-energy modes. The element does not exhibit any symptoms of membrane or shear locking nor any spatial oscillations in the solutions.

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JO - Computers and Structures

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ER -

Implementation and application of a 9-node Lagrange shell element with spurious mode control

Abstract

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