Abstract In this work a number of selected, isotropic, invariant-based hyperelastic models are analyzed. The considered constitutive relations hyperelasticity include the model by Gent (G) and its extension, so-called generalized (GG), exponential-power law (Exp-PL) power (PL). material parameters under study have been identified for eight different experimental data sets. As it has demonstrate...

Viscous flows in hyperelastic chambers are relevant to many biological phenomena such as inhalation into the lung's acinar region, and medical applications inflation of a small chamber minimally invasive procedures. In this work, we analytically study viscous flow elastic deformation created due spherical from one or two inlets. Our investigation considers shell's constitutive law coupled with ...

In this paper we present hyperelastic models for swelling elastic shells, due to pressurization of the internal cavity. These shells serve as model systems for cells having cell walls, as can be found in bacteria, plants and fungi. The pressurized internal cavity represents the cell vacuole with intact membrane at a certain turgor pressure, and the elastic shell represents the hydrated cell wal...

The applications of membranes are increasing rapidly in various fields of engineering and science. The geometric, material, force and contact non-linearities complicate their analysis, which increases the demand for computationally efficient methods and interpretation of counter-intuitive behaviours. To understand the complex behaviour of membrane structures, it is necessary to perform parametr...