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Layerwise mixed least-squares finite element models for static and free vibration analysis of multilayered composite plates

Moleiro, F. ; Mota Soares, C.M. ; Mota Soares, C.A. ; Reddy, J.N.

Composite structures, 2010-08, Vol.92 (9), p.2328-2338 [Periódico revisado por pares]

Kidlington: Elsevier Ltd

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Título:
Layerwise mixed least-squares finite element models for static and free vibration analysis of multilayered composite plates
Autor: Moleiro, F. ; Mota Soares, C.M. ; Mota Soares, C.A. ; Reddy, J.N.
Assuntos: Eigenvalues ; Exact sciences and technology ; Finite element method ; Finite element model ; Free vibration ; Fundamental areas of phenomenology (including applications) ; Layerwise theory ; Least squares method ; Least-squares formulation ; Mathematical analysis ; Mathematical models ; Mixed formulation ; Multilayered composite plates ; Physics ; Plates ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Stresses ; Structural and continuum mechanics ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
É parte de: Composite structures, 2010-08, Vol.92 (9), p.2328-2338
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Descrição: Layerwise finite element models are developed based on a mixed least-squares formulation for both static and free vibration analysis of multilayered composite plates. The models assume a layerwise variable description of displacements, transverse stresses and in-plane strains, taken as independent variables. Altogether, the benefits of this finite element formulation are twofold. First, the layerwise mixed formulation enables the fulfilment of the so-called C z 0 requirements, completely and a priori. Specifically, the interlaminar continuity of displacements and transverse stresses, due to compatibility and equilibrium conditions, are both in the form of C 0 continuous functions in the thickness z-direction. Second, the least-squares formulation leads to a variational unconstrained minimization problem, where the finite element approximating spaces can be chosen independently. Therefore, contrary to mixed weak form models, the mixed least-squares models are able to by-pass stability conditions, also known as inf-sup conditions. Ultimately, the model for static analysis yields a symmetric positive definite system of linear equations, whereas the model for free vibration analysis yields a symmetric quadratic eigenvalue problem. The numerical examples show that the models predictive capabilities are in excellent agreement with three-dimensional exact solutions, from very thick to very thin plates, and are shown to be insensitive to shear locking.
Editor: Kidlington: Elsevier Ltd
Idioma: Inglês

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Layerwise mixed least-squares finite element models for static and free vibration analysis of multilayered composite plates

Moleiro, F. ; Mota Soares, C.M. ; Mota Soares, C.A. ; Reddy, J.N.

Kidlington: Elsevier Ltd

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