Extensão da solução analítica de Pagano para análise estática de vigas sanduíche com núcleo poroso e funcionalmente graduado

Abstract

Sandwich structures, particularly beams, made of functionally graded materials have demonstrated significant potential due to their ability to combine the mechanical properties of different materials and contribute to improved structural performance. However, the occurrence of defects, such as pores, during manufacturing processes can alter the effective properties of these materials and, consequently, their mechanical response. In this context, the present study proposes an extension of Pagano’s analytical solution, which is based on the three-dimensional Theory of Elasticity, for the static analysis of sandwich beams with a functionally graded and porous core. To represent the continuous variation of the material’s mechanical properties, an approach based on the discretization of the material into equivalent homogeneous sublayers was employed. The developed formulation was validated by comparison with results available in the literature. Subsequently, a parametric study was conducted considering different material gradation indices, porosity indices and distribution models, slenderness ratios, and geometric configurations of the layers. The results demonstrate that these parameters directly influence the structural response, highlighting the importance of analyzing the behavior of these structures by considering the combined effects of these factors.