Abstract This article considers a thin-walled hollow cylinder, which is composed of fibrous and swellable hyperelastic material. The fibers are arranged in two families they taken to be parallel within each fiber family. also assumed mechanically equivalent symmetrically disposed the ground substance At instant homogeneous swelling, material incompressible. studies interplay orientation, mechan...

Let f(z) := ∑n ν=0 aνz ν be a polynomial of degree n having no zeros in the open unit disc, and suppose that max|z|=1 |f(z)| = 1. How small can max|z|=ρ |f(z)| be for any ρ ∈ [0 , 1)? This problem was considered and solved by Rivlin [4]. There are reasons to consider the same problem under the additional assumption that f ′(0) = 0. This was initiated by Govil [2] and followed up by the present ...

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...

The biomechanics of the uterus is studied on a mathematical model based on a shell of ellipsoid of revolution. The myometrium is treated as a homogenous, isotropic and incompressible elastic material using continuum approach and large deformation theory as introduced by Fliigge and Chou [1] and Green and Adkins [2]. The governing equations which are nonlinear differential equations of boundary ...

Compactness as introduced by Botafogo, Rivlin and Shneiderman, in short: BRScompactness, is studied in general, as it can be used to describe the cohesion of parts of the lnternet or collaboration networks, and in the particular case of a unidirectional network, such as a citation graph. It is shown that the connection coefficient is an upper bound for the BRS-compactness value of a network. Du...

k=0 akz . Some contributors to this area include Jentzsch [6], who explored the problem for a finite radius of convergence; Szegő [13], who explored the exponential function e; Rosenbloom [12], who discussed the angular distribution of zeros using potential theory, and applied his work to sub-class of the confluent hypergeometric functions; Erdős and Turán [4], who used minimization techniques ...

Effect of arterial wall compliance on the invasive coronary diagnostic parameters for various severities of coronary stenoses was assessed. The Mooney-Rivlin model was used to define the non-linear properties of the arterial wall and the plaque regions. The nonNewtonian viscosity of blood was modeled using the Carreau model. A finite element method was employed to solve the pulsatile fluid (blo...

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)...