Multi-field mechanical behavior of a rotating porous FGMEE circular disk with variable thickness under hygrothermal environment

Abstract

A rotating porous functionally graded magneto-electro-elastic (FGMEE) annular plate with variable thickness under hygrothermal environment is studied in this paper. The FG index is expressed by the volume fraction of piezoelectric component, and the porosity which depends on the volume fraction of each solid component takes various pores (inherent pores in components and structural pores at the interfaces) into account. Considering the effect of pores on both mass density and moisture of the structure, steady-state heat conduction and nonlinear moisture diffusion equations are built and solved by the differential quadrature method (DQM). Applying a linear hygrothermal electro-magneto-elastic constitutive relation, and combining the stress equilibrium equation with static electric and magnetic equations, governing equations expressed by displacement, electric and magnetic potentials are derived and also solved by DQM. In the numerical examples, influences of material property (FG index and porosity parameters), geometric structure (inner-outer thickness ratio and its change index) as well as external conditions (temperature and moisture boundary conditions) to the multi-field responses of the porous FGMEE annular plate are studied in detail. The theoretical process and conclusions will be helpful to the design and manufacture of novel porous FG structures applying in complex multi-field environment and conditions.