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Mixed Finite Element for the Analysis of FGM Beams


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DOI: https://doi.org/10.15866/ireme.v15i1.19680

Abstract


In this study, a special mixed finite element developed using an isoparametric formulation, in natural (ξ, η) plane, has been extended for the analysis of functionally graded beams. This element is used to analyze the bending of simply supported and cantilever isotropic functionally graded beams under uniformly distributed loads. Parameters of beams such as Young's modulus and Poisson's ratio are respectively changed through the thickness direction as a power-law distribution. The results obtained by the present mixed finite element are presented and compared with analytical and numerical solutions obtained in the literature. This mixed finite element analysis has proven its performance with few degrees of freedom at bending analysis of functionally graded beams.
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Keywords


Mixed Finite Element; Functionally Graded Materials; FGM Beam; Bending

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References


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