@inproceedings{b00e83bb9cd8468f90aaa624e165f410,

title = "Locking-free hp-discontinuous Galerkin methods for Timoshenko beams",

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.",

keywords = "Discontinuous galerkin method, Shear locking, Timoshenko beams",

author = "Fatih Celiker and Bernardo Cockburn and Stolarski, {Henryk K} and Tamma, {Kumar K}",

year = "2005",

month = dec,

day = "1",

language = "English (US)",

isbn = "0080444814",

series = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",

pages = "142--144",

booktitle = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics",

note = "3rd M.I.T. Conference on Computational Fluid and Solid Mechanics ; Conference date: 14-06-2005 Through 17-06-2005",

}