Closed-form finite element solutions for beams and plates

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Standard

Closed-form finite element solutions for beams and plates. / Karttunen, Anssi; von Hertzen, Raimo; Reddy, Junthula; Romanoff, Jani.

Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29. ed. / Ragnar Larsson. Göteborg : Chalmers University of Technology, 2016. (Department of Applied Mechanics: Research report ; No. 2016:04).

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Harvard

Karttunen, A, von Hertzen, R, Reddy, J & Romanoff, J 2016, Closed-form finite element solutions for beams and plates. in R Larsson (ed.), Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29. Department of Applied Mechanics: Research report , no. 2016:04, Chalmers University of Technology, Göteborg , Nordic Seminar on Computational Mechanics, Stockholm, Sweden, 22/10/2014.

APA

Karttunen, A., von Hertzen, R., Reddy, J., & Romanoff, J. (2016). Closed-form finite element solutions for beams and plates. In R. Larsson (Ed.), Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29 (Department of Applied Mechanics: Research report ; No. 2016:04). Göteborg : Chalmers University of Technology.

Vancouver

Karttunen A, von Hertzen R, Reddy J, Romanoff J. Closed-form finite element solutions for beams and plates. In Larsson R, editor, Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29. Göteborg : Chalmers University of Technology. 2016. (Department of Applied Mechanics: Research report ; 2016:04).

Author

Karttunen, Anssi ; von Hertzen, Raimo ; Reddy, Junthula ; Romanoff, Jani. / Closed-form finite element solutions for beams and plates. Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29. editor / Ragnar Larsson. Göteborg : Chalmers University of Technology, 2016. (Department of Applied Mechanics: Research report ; 2016:04).

Bibtex - Download

@inproceedings{50e365042a44424b821b34a430c34640,
title = "Closed-form finite element solutions for beams and plates",
abstract = "We formulate a linear elastic beam problem by employing Saint Venant’s principle so that end effects do not appear in the beam. Then the elasticity solution to the formulated interior problem is presented. By using mid-surface variables derivedfrom the solution, a nodally-exact beam element is formulated by a force-based approach. A finite element calculation example is presented. In addition to the beam element, elasticity-based circular and rectangular plate elements may be developed on the basis of similar approaches founded on 2D stress functions or 3D displacement potentials.",
author = "Anssi Karttunen and {von Hertzen}, Raimo and Junthula Reddy and Jani Romanoff",
year = "2016",
language = "English",
series = "Department of Applied Mechanics: Research report",
publisher = "Chalmers University of Technology",
number = "2016:04",
editor = "Ragnar Larsson",
booktitle = "Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29",

}

RIS - Download

TY - GEN

T1 - Closed-form finite element solutions for beams and plates

AU - Karttunen, Anssi

AU - von Hertzen, Raimo

AU - Reddy, Junthula

AU - Romanoff, Jani

PY - 2016

Y1 - 2016

N2 - We formulate a linear elastic beam problem by employing Saint Venant’s principle so that end effects do not appear in the beam. Then the elasticity solution to the formulated interior problem is presented. By using mid-surface variables derivedfrom the solution, a nodally-exact beam element is formulated by a force-based approach. A finite element calculation example is presented. In addition to the beam element, elasticity-based circular and rectangular plate elements may be developed on the basis of similar approaches founded on 2D stress functions or 3D displacement potentials.

AB - We formulate a linear elastic beam problem by employing Saint Venant’s principle so that end effects do not appear in the beam. Then the elasticity solution to the formulated interior problem is presented. By using mid-surface variables derivedfrom the solution, a nodally-exact beam element is formulated by a force-based approach. A finite element calculation example is presented. In addition to the beam element, elasticity-based circular and rectangular plate elements may be developed on the basis of similar approaches founded on 2D stress functions or 3D displacement potentials.

UR - http://publications.lib.chalmers.se/publication/244480-proceedings-of-29th-nordic-seminar-on-computational-mechanics-nscm29

M3 - Conference contribution

T3 - Department of Applied Mechanics: Research report

BT - Proceedings of 29th Nordic Seminar on Computational Mechanics – NSCM29

A2 - Larsson, Ragnar

PB - Chalmers University of Technology

CY - Göteborg

ER -

ID: 9591694