Multilayer heterostructure inhomogeneous model for pressurized functionally graded annular structures (cylinder/sphere/annulus) with arbitrary elastic property along the radial direction

Abstract

Mechanical analysis is the key basis for the structural safety of functionally graded materials (FGMs). Herein, a very natural and highly accurate model is proposed to solve the statics mechanics of pressurized FGMs annular structures with arbitrary elastic properties along the radial direction. The proposed multilayer heterostructure power-law inhomogeneous (MHPI) model is implemented in the analytical framework of the multilayer heterostructure inhomogeneous model where the radial Young's modulus is approximated by multiple sublayers with power-law FGMs. Hundreds of numerical examples of FGMs annular structures are discussed that involve three structures including cylinder/sphere/annulus, ten property profiles gradient models, six different boundary conditions, and dozens of volume fraction gradient models (three volume fractions gradation and five homogenization schemes). The accuracy of the MHPI model is demonstrated by comparative analysis with the multilayer heterostructure homogeneous model, and the effects of elastic foundation parameters, structural geometries and volume fraction gradient hypotheses are investigated. Extended multilayer heterostructure inhomogeneous models are further for some complicated problem. The research shows that the MHPI model can effectively overcome the oscillation in circumferential stress obtained from the MHH model, and the present calculation error is about 5‰ when the sublayers number reaches N = 5 for many property profiles gradient models.