In this paper we propose a Signorini's perturbation method to investigate the propagation of acceleration waves in second-order elastic, isotropic, compressible, and homogeneous materials. The method is applied when the undisturbed region is subjected to a simple extension or to a simple shear. In these cases, we evaluate the first-order terms of the speeds and the amplitudes of the acceleration waves in any arbitrary direction of propagation. © 2008 Elsevier Ltd. All rights reserved.
Marasco, A., & Romano, A. (2009). On the acceleration waves in second-order elastic, isotropic, compressible, and homogeneous materials. Mathematical and Computer Modelling, 49(7–8), 1504–1518. https://doi.org/10.1016/j.mcm.2008.06.005