### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings of the Tenth International Conference on Computational Structures Technology |

Editors | B. H. V. Topping, J. M. Adam, F. J. Pallares, R. Bru, M. L. Romero |

Number of pages | 14 |

Place of Publication | Stirlingshire, Scotland |

Publisher | Civil-Comp Press |

Publication date | 2010 |

Publication status | Published - 2010 |

Event | The International Conference on Computational Structures Technology - Valencia, Spain Duration: 14 Sep 2010 → 17 Sep 2010 |

### Conference

Conference | The International Conference on Computational Structures Technology |
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Country | Spain |

City | Valencia |

Period | 14/09/2010 → 17/09/2010 |

Series | Civil-Comp Proceedings |
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Number | 93 |

### Fingerprint

### Keywords

- Plate Elements
- Shear Flexibility
- Reissner-Mindlin plate theory
- Shear Locking
- Balanced Interpolation

### Cite this

*Proceedings of the Tenth International Conference on Computational Structures Technology*Stirlingshire, Scotland: Civil-Comp Press. Civil-Comp Proceedings, No. 93

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*Proceedings of the Tenth International Conference on Computational Structures Technology.*Civil-Comp Press, Stirlingshire, Scotland, Civil-Comp Proceedings, no. 93, Valencia, Spain, 14/09/2010.

**A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains.** / Damkilde, Lars; Pedersen, Ronnie.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains

AU - Damkilde, Lars

AU - Pedersen, Ronnie

N1 - Paper no. 288

PY - 2010

Y1 - 2010

N2 - The paper describes a new shear flexible triangular element. The formulation is based on displacement interpolation of the transverse displacement of the midsurface and the rotations of the cross-sections, and the element is fully compatible. The basic principle is to use a so-called balanced interpolation so that the part of the shear strains that relates to the transverse displacement has the same polynomial variation as the part of the shear strains that relates to the rotations of the cross-section. This balanced interpolation in combination with complete polynomial interpolations prevents shear locking, which otherwise has to be eliminated by remedies as reduced or selective integration. The element has been tested in different ways and the convergence rate and accuracy are good. By introducing a small incompatibility the degrees of freedom can be reduced from 22 to 18 and the results are virtually the same. The slightly incompatible formulation can be implemented directly into commercial codes.

AB - The paper describes a new shear flexible triangular element. The formulation is based on displacement interpolation of the transverse displacement of the midsurface and the rotations of the cross-sections, and the element is fully compatible. The basic principle is to use a so-called balanced interpolation so that the part of the shear strains that relates to the transverse displacement has the same polynomial variation as the part of the shear strains that relates to the rotations of the cross-section. This balanced interpolation in combination with complete polynomial interpolations prevents shear locking, which otherwise has to be eliminated by remedies as reduced or selective integration. The element has been tested in different ways and the convergence rate and accuracy are good. By introducing a small incompatibility the degrees of freedom can be reduced from 22 to 18 and the results are virtually the same. The slightly incompatible formulation can be implemented directly into commercial codes.

KW - Plate Elements

KW - Shear flexibility

KW - Reissner-Mindlin plate theory

KW - Shear Locking

KW - Balanced Interpolation

KW - Plate Elements

KW - Shear Flexibility

KW - Reissner-Mindlin plate theory

KW - Shear Locking

KW - Balanced Interpolation

M3 - Article in proceeding

BT - Proceedings of the Tenth International Conference on Computational Structures Technology

A2 - Topping, B. H. V.

A2 - Adam, J. M.

A2 - Pallares, F. J.

A2 - Bru, R.

A2 - Romero, M. L.

PB - Civil-Comp Press

CY - Stirlingshire, Scotland

ER -