In this article, hyperelastic material models that state consistent polynomial expansions of the stored energy function are discussed. The approach follows from multiplicative decomposition deformation gradient. Some advantages third-order expansion model over five-parameter Rivlin using Treloar’s experimental data shown. qualitatively and quantitatively compared to highlight these discussed mo...

The paper shows the successive steps of approximation of Picard unification for the solution of the non-isothermal fluid flow in thin layer including inertia forces and apparent viscosities described by the non-linear dependences. In this paper is presented a unified semi analytical method of solution of the asymmetrical, laminar, steady and unsteady, non-Newtonian lubrication problem flow betw...

This article presents the results of experimental tests carried out on a polyurethane hyperelastic adhesive. The Mooney-Rivlin, Ogden and Yeoh models were analyzed between others, with different order parameters using finite element method Ansys V17.1 package, aim evaluating convergence general model, to subsequently manufacture specimens perform uniaxial stress tests. information obtained from...

Current materials used for maxillofacial prostheses are far from ideal and there is a need for new improved materials which better simulate the tissues they are replacing. This study was based on a mixed experimental/analytical/numerical approach. A new polymeric material was developed to provide a better alternative to the materials currently used in maxillofacial prosthetics. A series of expe...

Upholstered furniture intended to provide better sleep and rest, especially furniture for disabled persons, require careful design of elastic spring systems. In the majority of cases, when designing new articles, both furniture designers and manufacturers rely on long-term experience and craftsman’s intuition. On the other hand, the accumulated interdisciplinary knowledge of modern medical labo...

Anchorage-dependent cells such as smooth muscle cells (SMCs) rely on the transmission of actomyosin-generated traction forces to adhere and migrate on the extracellular matrix. The cellular traction forces exerted by SMCs on substrate can be measured from the deformation of substrate with embedded fluorescent markers. With the synchronous use of phase-contrast and fluorescent microscopy, the de...

The stability of stratified Rivlin-Ericksen fluid in porous medium in the presence of suspended particles and magnetic field has been investigated. Upon application of normal mode technique, the dispersion relation was obtained. The important results obtained in this paper include the instability of non-oscillatory modes and the stability of oscillatory modes. Also, it was found that the system...

Abstract Soft materials such as rubbers, silicones, gels and biological tissues have a nonlinear response to large deformations, phenomenon which in principle can be captured by hyperelastic models. The suitability of candidate strain energy function is then determined comparing its predicted the data gleaned from tests adjusting material parameters get good fit, an exercise deceptive because n...

Letf(z) be an arbitrary entire function andM(f, r) = max If(z)l. For a polynomialp(z) Izl=r . of degree Il, having no zeros in Izi < I,Rivlin had obtained (r+ l)n M(p, r) ~ -2M(p, I), r ~ I. Using this and various associated results, we have obtained precise relationship between M(p, p) and M(p, I) for a polynomial p(z) having all its zeros on Izi = k, k > O. Some sort of a converse of Rivlin's...