Analysis of high order multilayered functionally graded composite beams: a numerical approach

Resumo

Functionally graded materials (FGMs) are multiphase composites whose properties vary continuously
in one or more directions, obeying a function that better suits the purpose of the structure. In the present work, the
study of FGMs is integrated to multilayered composite beams with varying properties per layer. The continuity of
the material properties from the FGM mode mitigates the stress peaks that occur in the interface between layers
with different orientations. A unified high-order theory for beams incorporating FGMs is developed and applied
to the Equivalent Single Layer theory approach to analyze single and multilayered beams using any order finite
element method. Examples of simply supported beams are analyzed and compared to the results presented in the
literature. The proposed formulation presented results in agreement with the literature.