2 Reformulate the free energy functions W(λ1, λ2, λ3) for the Neo-Hookean, MooneyRivlin, and Fung materials in Table 1 in terms of the invariants of b as W(Ib 1 , I b 2 , I b 3). Remember that for an incompressible material, J = 1, and thus λ3 = 1/(λ1λ2). 3 For the free energy functions W(Ib 1 , I b 2 , I b 3) of the Neo-Hookean, Mooney-Rivlin, and Fung materials (from 2), calculate the derivat...

It is previously known that under inflation alone a spherical rubber membrane balloon may bifurcate into a pear shape when the tension in the membrane reaches a maximum, but the existence of such a maximum depends on the material model used: the maximum exists for the Ogden model, but does not exist for the neoHookean, Mooney-Rivlin or Gent model. This paper discusses how such a situation is ch...

We investigate how two finite-amplitude, transverse, plane body waves may be superposed to propagate in a deformed hyperelastic incompressible solid. find that the equations of motion reduce well-determined system partial differential equations, making controllable for all solids. Mooney–Rivlin materials, they travel along any direction and polarised transverse direction, an extension result by...

This research shows an image processing method to determine the liver tissue’s mechanical behavior under physiological damage caused by fibrosis pathology. The proposed consists of using a tissue CAD/CAE model obtained from tomography human abdomen, where diaphragmatic surface this is compressed moving flat surface. For work, two tools were created—the first analyze deformations and second disp...

The effects of thermal elastic fluctuations in rubbery materials are examined. It is shown that, due to their interplay with the incompressibility constraint, these fluctuations qualitatively modify the large-deformation stress-strain relation, compared to that of classical rubber elasticity. To leading order, this mechanism provides a simple and generic explanation for the peak structure of Mo...

This paper presents a biomechanical model of the face to simulate orofacial movements in speech and non-verbal communication. A 3D finite element model, based on medical images of a subject, is presented. A hyperelastic Mooney-Rivlin constitutive law accounts for the non-linear behaviour of facial tissue. Muscle fibres are represented by piece-wise uniaxial tensile element that generate force. ...

The mechanical behavior of fetal dura mater was investigated by means of a biaxial tension test designed to simulate the constraints imposed on the membrane by the cranial bones. The experimental results are compared with the theoretical results obtained by using two published strain energy functions: one defined by Mooney and Rivlin (MR) and the other by Skalak, Tozeren, Zarda and Chien (STZC)...