In this paper, we have analyzed behavior of the generalized compressible isotropic Blatz–Ko model and the so-called basic-Hencky model in the framework of a coupled axial-stretching to simple shear test under the plane stress condition. The mechanical behavior depends on both the stretching-direction, i.e. \(\Theta\) and magnitude of displacement, i.e. \(\gamma\) prescribed on the sample edge. Based on, we have computed the transverse stretch versus longitudinal stretch. We have shown that, the approximate displacement field cannot be sustained in the context of BK-model. In contrast, results of FE-simulations show that, this deformation field can be maintained for appropriate value of Poisson’s ratio and porosity parameter. Also, the Poisson’s function was revisited in the context of BK-model and basic-Hencky model; a difference was highlighted. Besides, it turns out advantageous to use compressible isotropic logarithmic-strain-energy to model behavior of compressible isotropic rubber-like materials in the range of moderate strains. Some Finite Element simulations have been performed in order to validate our findings.
