The variety of hyperelastic materials and the design new modifications technical applications requires development a description nonlinear deformation properties. most commonly used constitutive relations Mooney-Rivlin Yeoh models are based on polynomial decompositions. Mechanical-geometric modeling (hereinafter - MGM) is way constructing strain energy densities within theory elasticity. In thi...

In the nonlinear theory of isotropic elastic materials, there are relations between force-like quantities and deformation-like quantities which are independent of material properties. Such relations have been called "universal" relations [1]. The best known example is that of Rivlin for simple shear [2]. It relates components of normal and shear stress and the amount of shear. Another important...

Abstract The thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through porous medium is investigated. dispersion relation has been developed solved analytically using the normal mode approach linear stability theory. effect rotation, couple stress, permeability on layer For stationary c...