A Mixed Finite Element Model based on Least-Squares Formulation for the Static Analysis of Laminated Composite Plates
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This paper presents a mixed finite element model based on least-squares variational principles, as an alternative approach to the mixed weak form finite element models. The mixed least-squares model considers the static analysis of laminated composite plates using the first-order shear deformation theory, with generalized displacements and stress resultants as independent variables. One major benefit of the least-squares formulation is that it leads to an unconstrained minimization problem, which allows the approximation spaces to be chosen independently. Specifically, the mixed model is developed using equal-order C0 Lagrange interpolation functions of high p-levels along with full integration. The resulting least-squares-based discrete model yields a symmetric, positive-definite system of algebraic equations. The predictive capability of the proposed model is demonstrated by numerical examples of the static analysis of four laminated composite plates, with different boundary conditions and various side-to-thickness ratios. Particularly, the mixed least-squares model with high-order interpolation functions is shown to be insensitive to shear-locking. 2006 Civil-Comp Press.
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Proceedings of the Eighth International Conference on Computational Structures Technology