Bending and Vibration of Functionally Graded Porous Shallow Sandwich Shells with Holes and Cutouts
摘要
The static and dynamic behavior of functionally graded porous shallow sandwich shells with holes and cutouts has been investigated using the first-order shear deformation theory. The shell has been modeled as a sandwich structure where the outer face layers are composed of functionally graded materials and the core is made of ceramic. The effective properties of functionally graded materials have been determined considering the power-law distribution of the volume fractions of ceramic and metal components based on Voigt’s rule of mixtures. Two types of porosity distributions in the functionally graded layers have been considered: uniform and nonuniform. The proposed method has integrated the R-functions theory with the Ritz variational approach. Software implementing the developed methodology has been created and applied to a series of benchmark problems. It has also been used to analyze the porous shallow sandwich shells of complex geometries containing holes and cutouts.