Meneses, RodrigoRodrigoMenesesR. BustamanteP. ArrueOscar Orellana2025-08-252025-08-252024-04-0110.1093/imamat/hxae0172-s2.0-85200640497https://cris-uv-2.scimago.es/handle/123456789/5279WOS:001313034000001Abstract The problem of propagation of nonlinear waves in a 1D bar is studied, wherein the linearized strain tensor is considered as a function of the Cauchy stress tensor. Specifically, two constitutive equations for non-Green elastic solids are investigated, introducing a novel numerical iterative method capable of obtaining approximate solutions of one nonlinear constitutive equation for rock, and one constitutive equation that shows a strain-limiting behaviour. The numerical results are compared with exact solutions for the case of a linearized elastic solid.enacceso restringidoMathematics, Appliedarticle