Analysis of shear locking in Timoshenko beam elements using the function space approach

Somenath, Mukharjee and Gangan, Prathap (2001) Analysis of shear locking in Timoshenko beam elements using the function space approach. Communications in Numerical Methods in Engineering, 17. pp. 385-393. ISSN 1552-485X

[img] PDF
2655_nal-ir.pdf - Published Version
Restricted to Repository staff only

Download (109kB) | Request a copy

Abstract

Elements based purely on completeness and continuity requirements perform erroneously in a certain class of problems. These are called the locking situations, and a variety of phenomena like shear locking, membrane locking, volumetric locking, etc., have been identi9ed. Locking has been eliminated by many techniques, e.g. reduced integration, addition of bubble functions, use of assumed strain approaches, mixed and hybrid approaches, etc. In this paper, we review the 9eld consistency paradigm using a function space model, and propose a method to identify 9eld-inconsistent spaces for projections that show locking behaviour. The case of the Timoshenko beam serves as an illustrative example.

Item Type: Article
Uncontrolled Keywords: 9eld-consistency; function spaces; projection theorems; locking; Timoshenko beam
Subjects: ENGINEERING > Communications and Radar
Depositing User: Users 10 not found.
Date Deposited: 05 Oct 2012 10:36
Last Modified: 05 Oct 2012 10:36
URI: http://192.168.9.127/id/eprint/11068

Actions (login required)

View Item View Item