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

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

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    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 identified. 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 field consistency paradigm using a function space model, and propose a method to identify field inconsistent spaes for projections that show locking behaviour. The case of the Timoshenko beam serves as an illustrative example.

    Item Type: Journal Article
    Uncontrolled Keywords: Field consistency, functions spaces, projection theorems, locking Timoshenko beam
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division, CSIR Centre for Mathematical Modelling and Computer Simulation
    Depositing User: Ms Indrani V
    Date Deposited: 09 Oct 2012 10:13
    Last Modified: 09 Oct 2012 10:13
    URI: http://nal-ir.nal.res.in/id/eprint/11069

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