Locking-free two-layer Timoshenko beam element with interlayer slip

Simon Schnabl in Miran Saje in Goran Turk in Igor Planinc (2007) Locking-free two-layer Timoshenko beam element with interlayer slip. Finite Elements in Analysis and Design, 43 (9). str. 705-714. ISSN 0168-874X

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    A new locking-free strain-based finite element formulation for the numerical treatment of linear static analysis of two-layer planar composite beams with interlayer slip is proposed. In this formulation, the modified principle of virtual work is introduced as a basis for the finite element discretization. The linear kinematic equations are included into the principle by the procedure, similar to that of Lagrangian multipliers. A strain field vector remains the only unknown function to be interpolated in the finite element implementation of the principle. In contrast with some of the displacement-based and mixed finite element formulations of the composite beams with interlayer slip, the present formulation is completely locking-free. Hence, there are no shear and slip locking, poor convergence and stress oscillations in these finite elements. The generalization of the composite beam theory with the consideration of the Timoshenko beam theory for the individual component of a composite beam represents a substantial contribution in the field of analysis of non-slender composite beams with an interlayer slip. An extension of the present formulation to the non-linear material problems is straightforward. As only a few finite elements are needed to describe a composite beam with great precision, the new finite element formulations is perfectly suited for practical calculations. (c) 2007 Elsevier B.V. All rights reserved.

    Vrsta dela: Članek
    Ključne besede: Composite beam, Interlayer slip, Timoshenko beam theory, Locking, Finite element method
    Povezava na COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50057&select=(ID=3549025)
    Ustanova: Univerza v Ljubljani
    Fakulteta: Fakulteta za gradbeništvo in geodezijo
    Katedre: Fakulteta za gradbeništvo in geodezijo > Oddelek za gradbeništvo > Katedra za mehaniko (KM)
    Fakulteta za gradbeništvo in geodezijo > Oddelek za okoljsko gradbeništvo > Katedra za splošno hidrotehniko (KSH)
    ID vnosa: 3368
    URI: http://drugg.fgg.uni-lj.si/id/eprint/3368

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