Abstract Mechanical characterization of the ex vivo tricuspid valve (TV) continues to provide key insights into native function and development valvular diseases. However, experimental methods characterize TV biomechanical behavior often fail account for potential changes in tissue’s mechanical responses that may occur during experiment preparation. Therefore, we assessed anterior leaflet (ATL)...

Fiber networks are assemblies of one-dimensional elements representative of materials with fibrous microstructures such as collagen networks and synthetic nonwovens. The mechanics of random fiber networks has been the focus of numerous studies. However, fiber crimp has been explicitly represented only in few cases. In the present work, the mechanics of cross-linked networks with crimped atherma...

Tissue engineering is aimed at the fabrication of autologous cardiovascular implants, for example, heart valves or vascular grafts. To date, the mechanical characterization of tissue-engineered vascular grafts (TEVGs) has focused mainly on the material's strength and not on the deformation behavior. A total of 31 samples obtained from 3 mature grafts (out of the cells of a single donor) were te...

In the present paper, discrete element method (DEM) is used to study wave propagation phenomenon in granular soils. The effect of factors such as coefficient of friction, frequency, normal stiffness and soil gradation on the wave velocity is studied. Using the wall motion based on the sinusoidal function is the method of loading used in this simulation, through which the pressure wave is transf...

Let $M$ be an orientable hypersurface in the Euclidean space $R^{2n}$ with induced metric $g$ and $TM$ be its tangent bundle. It is known that the tangent bundle $TM$ has induced metric $overline{g}$ as submanifold of the Euclidean space $R^{4n}$ which is not a natural metric in the sense that the submersion $pi :(TM,overline{g})rightarrow (M,g)$ is not the Riemannian submersion. In this paper...

Abstract We present an objective, singularity-free, path independent, numerically robust and efficient geometrically non-linear Reissner-Mindlin shell finite element formulation. The formulation is especially suitable for higher order ansatz spaces. utilizes geometric elements presented by Sander [74] Grohs [34] the interpolation on manifolds. proposed method objective free from artificial sing...

In this paper, we propose RiemannianFlow, a deep generative model that allows robots to learn complex and stable skills evolving on the Riemannian manifold. Examples of data in robotics include stiffness (symmetric positive definite matrix (SPD)) orientation (unit quaternion (UQ)) trajectories. For data, unlike Euclidean ones, different dimensions are interconnected by geometric constraints whi...

The application of the Galerkin method, using global trial functions which satisfy the boundary conditions, to nonlinear partial differential equations such as those in the von Karman nonlinear plate theory, is well-known. Such an approach using trial function expansions involving multiple basis functions, leads to a highly coupled system of nonlinear algebraic equations (NAEs). The derivation ...