Nonlinear transient response of fibre metal laminated shallow spherical shells with interfacial damage under unsteady temperature fields

This paper is concerned with the transient response of fibre metal laminated (FML) shallow spherical shells with interfacial damage subjected to the unsteady temperature field. An exact displacement field which satisfies the boundary conditions on the outer and inner surfaces and stress continuity conditions at interfaces is presented. The nonlinear governing equations of motion for FML shallow spherical shells including the transverse shear deformation are established using the Hamilton's principle. The transient temperature is determined from the heat conduction equation by using the finite difference method. The collocation point method and Newmark method are adapted to solve the governing equations of motion numerically. The present model provides an effective method for nonlinear dynamic analysis of composites laminated structures with interfacial damage subjected to transient temperature fields. In the numerical examples, the transient temperature, thermal deformation and stresses of FML shallow spherical shells are presented. The transient temperature will increase from initial value with time to a steady state. The displacements and stresses of the shell increase with time and remain unchanged when the temperature is in a steady state. And the effects of interfacial damage on the mechanical behaviours of FML shallow spherical shells are also discussed.