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...

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...

Harmonic wave excitation in a semi-infinite incompressible hyperelastic 1D rod with the Mooney–Rivlin equation of state reveals formation and propagation shock fronts arising between faster slower moving parts initially harmonic wave. The observed result collapse being absorbed by parts; hence, to attenuation kinetic elastic strain energy corresponding heat generation. Both geometrically physic...

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 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...

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 ...

The boundary value problem (BVP) for a class of nonlinear ordinary differential equations is examined. It can be used to describe the eversion problem for a spherical shell composed of a class of transversely isotropic incompressible Mooney-Rivlin materials. The solutions of the nonlinear equation describing the relation among deformed thickness, initial thickness and material parameters of the...