A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret (1995). Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté et al. (2002), the case where external loads induce a density of bending moment that produces a Cosserat...

We consider a weakly dissipative hyperelastic-rod wave equation (or weakly dissipative Camassa–Holm equation) describing nonlinear dispersive dissipative waves in compressible hyperelastic rods. By fixed a smooth solution, we establish the existence of a strongly continuous semigroup of global weak solutions for any initial perturbation from H1(R). In particular, the supersonic solitary shock w...

Coaptation characteristics are crucial in an assessment of the competence reconstructed aortic valves. Shell or membrane formulations can be used to model valve cusps coaptation. In this paper we compare both terms their coaptation for first time. Our numerical thin shell is based on a combination hyperelastic nodal forces method and rotation-free finite elements. The verified several popular b...

In this work, the influence of geometric and mechanical properties constitutive layers a Proton Exchange Membrane Fuel Cell (PEMFC) on system performance was investigated. More specifically, study focused internal electrical resistances due to interlayer contacts. Indeed, contact are one main sources ohmic losses in PEMFC therefore require special attention improve efficiency. To end, Design Ex...

In this paper, the bionic membrane structure is introduced to improve aerodynamic performance of nano rotor at low Reynolds number. The characteristics made hyperelastic material as blades are studied. Firstly, based on constitutive model, a finite element model established and compared with results modal test verify accuracy model. Then computational fluid dynamics which combined under hoverin...

In this study, nonlinear analysis for thick cylindrical pressure vessels with arbitrary variable thickness made of hyperelastic functionally graded material properties in nearly incompressible state and clamped boundary conditions under non-uniform pressure loading is presented. Thickness and pressure of the shell are considered in axial direction by arbitrary nonlinear profiles. The FG materia...

In breast elastography, breast tissues usually undergo large compressions resulting in significant geometric and structural changes, and consequently nonlinear mechanical behavior. In this study, an elastography technique is presented where parameters characterizing tissue nonlinear behavior is reconstructed. Such parameters can be used for tumor tissue classification. To model the nonlinear be...

We describe a method for computing time-dependent solutions to the compressible Navier-Stokes equations coupled to a hyperelastic Neo-Hookean membrane model. The deforming domain is handled by introducing a continuous mapping between a fixed reference configuration and the time varying domain, and rewriting the Navier-Stokes equations as a conservation law for the independent variables in the r...

Equations governing the flow of fluid containing visco-hyperelastic particles are developed in an Eulerian framework. The novel feature introduced here is to write an evolution equation for the strain. It is envisioned that this will simplify numerical codes which typically compute the strain on Lagrangian meshes moving through Eulerian meshes. Existence results for the flow of linear visco-hyp...