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

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the Tenth International Conference on Computational Structures Technology
EditorsB. H. V. Topping, J. M. Adam, F. J. Pallares, R. Bru, M. L. Romero
Number of pages14
Place of PublicationStirlingshire, Scotland
PublisherCivil-Comp Press
Publication date2010
Publication statusPublished - 2010
EventThe International Conference on Computational Structures Technology - Valencia, Spain
Duration: 14 Sep 201017 Sep 2010

Conference

ConferenceThe International Conference on Computational Structures Technology
CountrySpain
CityValencia
Period14/09/201017/09/2010
SeriesCivil-Comp Proceedings
Number93

Fingerprint

Interpolation
Shear strain
Polynomials

Keywords

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

Cite this

Damkilde, L., & Pedersen, R. (2010). A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains. In B. H. V. Topping, J. M. Adam, F. J. Pallares, R. Bru, & M. L. Romero (Eds.), Proceedings of the Tenth International Conference on Computational Structures Technology Stirlingshire, Scotland: Civil-Comp Press. Civil-Comp Proceedings, No. 93
Damkilde, Lars ; Pedersen, Ronnie. / A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains. Proceedings of the Tenth International Conference on Computational Structures Technology. editor / B. H. V. Topping ; J. M. Adam ; F. J. Pallares ; R. Bru ; M. L. Romero. Stirlingshire, Scotland : Civil-Comp Press, 2010. (Civil-Comp Proceedings; No. 93).
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abstract = "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.",
keywords = "Plate Elements, Shear flexibility, Reissner-Mindlin plate theory, Shear Locking, Balanced Interpolation, Plate Elements, Shear Flexibility, Reissner-Mindlin plate theory, Shear Locking, Balanced Interpolation",
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Damkilde, L & Pedersen, R 2010, A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains. in BHV Topping, JM Adam, FJ Pallares, R Bru & ML Romero (eds), 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.

Proceedings of the Tenth International Conference on Computational Structures Technology. ed. / B. H. V. Topping; J. M. Adam; F. J. Pallares; R. Bru; M. L. Romero. Stirlingshire, Scotland : Civil-Comp Press, 2010.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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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

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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

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Damkilde L, Pedersen R. A New Accurate yet Simple Shear Flexible Triangular Plate Element with Linear Bending Strains. In Topping BHV, Adam JM, Pallares FJ, Bru R, Romero ML, editors, Proceedings of the Tenth International Conference on Computational Structures Technology. Stirlingshire, Scotland: Civil-Comp Press. 2010. (Civil-Comp Proceedings; No. 93).