19.—Propagation of Weak Discontinuities in a Layered Hyperelastic Half-space
Erdoğan S. Şuhubi, Alan Jeffrey · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1976
SYNOPSIS This paper investigates the one-dimensional propagation of weak discontinuities, that is acceleration waves, in a homogeneous and isotropic half-space composed of an arbitrary number of non-linearly hyperelastic layers. The transmission and reflection coefficients are evaluated in terms of the initial condition at the boundary, and the steepening of the waves to form a shock is discussed. The results are specialised to the case of periodic layering.