On interacting longitudinal-shear waves in large elastic deformation of a composite cylindrical laminate

We consider a large deformation of a cylindrical layer. Through the process of homogenization and the theory of effective moduli this heterogeneous medium is converted to a homogeneous but anisotropic medium. On the basis of John's semilinear material, an energy function is identified and equations of motion obtained Using the method of characteristics the speeds of propagating linear longitudinal and non-linear shear cylindrical waves are obtained: these "p-wave" and "s-wave" do interact, contrary to the known view, of the small deformation theory. (C) 1998 Elsevier Science Ltd. All rights reserved.