Nonlinear continuum mechanics of thick hyperelastic sandwich beams using various shear deformable beam theories

Abstract In this study, the time-dependent mechanics of multilayered thick hyperelastic beams are investigated for first time using five different types shear deformation models modelling beam (i.e. Euler–Bernoulli, Timoshenko, third-order, trigonometric and exponential deformable models), together with von Kármán geometrical nonlinearity Mooney–Rivlin strain energy density. The laminated is assumed to be resting on a nonlinear foundation undergoing external force. coupled highly equations motion obtained by considering longitudinal, transverse rotation motions solved dynamic equilibrium technique. Both linear structure analysed clamped–clamped pinned–pinned boundaries, impact effect theories discussed in detail. influence layering, each layer’s thickness, material positioning many other parameters frequency response analysed, it shown that resonance position, maximum amplitude, natural frequencies vary significantly various layer properties. results study should useful when studying layered soft structures, such as multilayer plastic packaging tubes, well tissues.