Multi-field coupling static bending of a finite length inhomogeneous double-layered structure with inner hollow cylinder and outer shell

• Multi-field coupling static bending of a double-layered structure is studied.
• Temperature and mechanical load have a great effect on double-layered structures.
• The investigation is helpful for the design of double-layered structures.

This study deals with the static bending of a finite length double-layered structure under radially symmetric mechanic and thermal loadings. The double-layered hollow structure is constructed of inner thermal barrier cylinder and outer FGPM(functionally graded piezoelectric material)cylindrical shell. The inner hollow cylinder is subjected to symmetric mechanic and thermal loadings, the outer shell is under an extra electric field. The material parameters of the double-layered structure are assumed to be inhomogeneous, or, rather, follows a power-law distribution. The inner thermal barrier cylinder is solved by the finite difference method, and the outer cylindrical shell is solved by using the analytical method. In the examples, numerical results separately show the effect of material properties, geometric shapes, mechanical and temperature loads on the double-layered structure. The distributions of material properties and the thickness ratio have a great influence on displacement and stress of the double-layered structure. Results in this study may be useful for the optimal design of FGPM cylindrical shell with thermal barrier layer.