Dynamic problems for layered shells of revolution with interfacial phenomena taken into account

The paper provides statements and solution procedures for static and dynamic problems for layered shells taking into account the phenomena occurring at the interfaces during the joining of layers (interlayers (ILs)). A unified method for solving the problems is proposed. It is based on the virtual-displacement principle (VDP), which allows an effective description of discontinuous mechanical characteristics and force fields. Systems of ordinary differential equations for amplitude coefficients are derived using the VDP for layered cylindrical shells with ILs. The constitutive equations are represented in explicit form for arbitrary coordinate functions, various types of end conditions and loads. Formulas to determine the strains in layers and physical and mechanical characteristics of ILs based on the mixing rule are given. A general approach to determining the stress state of ILs is outlined