Journal of Theoretical
and Applied Mechanics

43, 4, pp. 777-787, Warsaw 2005

Velocity of acceleration wave propagating in hyperelastic Zahorski and Mooney-Rivlin materials

Maciej Major
This paper studies homogeneous static deformation of a incompressible body. It shows a comparative analysis of a wave process in hyperelastic materials which have linear (Mooney-Rivlin material) and nonlinear (Zahorski material) dependences on invariants of the deformation tensor. The numerical analysis clearly demonstrates fundamental quantitative differences in the process of propagation of the acceleration wave. These differences are the consequence of calculation of elastic potentials which has been assumed in the study.
Keywords: discontinuous surface; acceleration waves; hyperelastic materials