The role of material and geometric nonlinearities in acoustoelasticity
Wave propagation in prestressed and prestrained continua can be modelled by the theory of acoustoelasticity, which typically includes dierent assumptions. These are third or fourth order expressions of hyperelastic strain energy, as well as nite initial strains and a formulation of balance equations in the current conguration. In this paper, we use a model describing wave propagation in a three dimensional elastically prestrained continuum to clarify the role of dierent mechanical aspects taken into account in the classical hypotheses of the theory.