Thermo-electro-elasticity solution of functionally graded carbon nanotube reinforced composite cylindrical shell embedded in piezoelectric layers

Based on theory of elasticity, static analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shell imbedded in piezoelectric sensor and actuator layers under thermo-electro-mechanical load is carried out. Thermo-elastic constants of the CNTRC cylindrical shell is supposed to be independent of temperature difference. In this study, uniformly as well as different cases of functionally graded CNT distribution, along the radial coordinate of host layer is considered. Governing ordinary differential equations are derived by expanding all of quantities in term of axial coordinate and using state space technique along the radial direction and then they are solved analytically to compute temperature, stress and displacement fields as well as induced electric voltage in sensor layer. Validity of the present approach is assessed by comparing the obtained numerical results with the available results in literature. Influence of CNT volume fraction, kind of CNT distribution along the radial coordinate, surface thermal, mechanical and electrical boundary conditions on static behavior of hybrid FG-CNTRC cylindrical shell are evaluated.