The topic of poro-hyperelasticiy has extensive applications ranging from the study of fluid-saturated geological materials to biomechanics of soft tissues. In the classical linear theory of poroelasticity, the application of pure shear does not initiate poroelastic effects. The inclusion of hyperelastic effects completelychanges the fluid pressure behaviour under pure shear. It was shown that in poromechanics, the generation of pore fluid pressure is usually associated with a volume change of the material, which occurs in shear when deformation is assumed to include the effects of finite strains.