For a relatively new class of constitutive equation for incompressible elastic bodies, wherein the Hencky strain tensor is a function of the Cauchy stress tensor, incremental equations are obtained, where it is assumed the presence of an initial time-independent stress that causes large deformations, to which a small time-dependent stress tensor is added. That stress tensor is assumed to cause a small (incremental) time-dependent deformation. For the case of infinite media the incremental equations are solved assuming travelling waves, and the speed of such waves is obtained for different problems considering initial homogeneous distributions of stresses and strains. Some numerical calculations of the speed of such waves are presented, considering a particular constitutive equation for rubber published recently in the literature. The speed of such small amplitude waves are compared with the predictions of the classical theory of nonlinear elasticity for similar problems.

对于不可压缩弹性体的一类相对较新的本构方程，其中亨基应变张量是柯西应力张量的函数，获得了增量方程，其中假设存在导致大变形的初始时间无关应力，添加了一个小的时间相关的应力张量。假设该应力张量会导致小的（增量的）时间相关变形。对于无限介质的情况，假设行波来求解增量方程，并且考虑到应力和应变的初始均匀分布，针对不同的问题获得这种波的速度。考虑到最近在文献中发表的橡胶的特定本构方程，给出了此类波速的一些数值计算。