Locking-free hp-discontinuous Galerkin methods for Timoshenko beams

Fatih Celiker, Bernardo Cockburn, Henryk K Stolarski, Kumar K Tamma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

With the ultimate goal of eliminating a long history of issues that have plagued the structural mechanics community such as the locking phenomenon, we analyze a family of discontinuous Galerkin methods for the Timoshenko beam problem. We prove that the rate of convergence in the energy seminorm is p + 1/2 when polynomials of degree p are employed to approximate the unknowns. The estimate is sharp and independent of the thickness-to-length ratio of the beam, which shows that the method is free from shear locking.

Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages142-144
Number of pages3
StatePublished - Dec 1 2005
Event3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States
Duration: Jun 14 2005Jun 17 2005

Publication series

Name3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Other

Other3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
CountryUnited States
CityBoston, MA
Period6/14/056/17/05

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Keywords

  • Discontinuous galerkin method
  • Shear locking
  • Timoshenko beams

Cite this

Celiker, F., Cockburn, B., Stolarski, H. K., & Tamma, K. K. (2005). Locking-free hp-discontinuous Galerkin methods for Timoshenko beams. In 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics (pp. 142-144). (3rd M.I.T. Conference on Computational Fluid and Solid Mechanics).