Radial waves in fiber-reinforced axially symmetric hyperelastic media

• Hyperelasticity framework is used to derive new nonlinear wave equations of radially propagating finite shear displacements in axially symmetric elastic bodies with helical fibers. Such G ( t , R ) are governed by a general PDE = 1 ∂ f where function that depends on the form stored energy function. For Mooney-Rivlin materials, above cylindrical equation becomes linear : α + which again, when fibers notexactly taking [ N 2 3 4 ] i const . When viscoelastic effects taken into account, displacement satisfies third-order μ The considered mechanical models, particular, PDEs (1) and (2), relevant for description man-made materials like fabrics, biological membranes, including blood vessel walls. Complex media such as vessels, may be described fiber-reinforced solids hyperelasticity. Finite anti-plane considered. A governing motions derived. It shown case standard quadratic fiber term, equation. Extensions model onto have radial projection, well account dissipative effects, considered; those cases derived analyzed.