The problem of identifying the load acting on elements structures belongs to class inverse problems mechanics a deformable solid, which are often incorrect. Solving such is associated with instability calculation results, requires development special methods for their research. This predetermines relevance this study. object study single-pass cylindrical shell consisting two rigidly fastened bu...

We investigate the validity of Thorne’s hoop conjecture in non-axisymmetric spacetimes by examining the formation of apparent horizons numerically. If spaces have a discrete symmetry about one axis, we can specify the boundary conditions to determine an apparent horizon even in non-axisymmetric spaces. We implement, for the first time, the “hoop finder” in non-axisymmetric spaces with a discret...

In previous work stable approximately axisymmetric equilibrium configurations for magnetic stars were found by numerical simulation. Here I investigate the conditions under which more complex, non-axisymmetric configurations can form. I present numerical simulations of the formation of stable equilibria from turbulent initial conditions and demonstrate the existence of non-axisymmetric equilibr...

Abstract Shells of revolution under axisymmetric conditions exhibit a circumferentially uniform pre‐buckling stress state and are important fundamental systems which often serve as reference for those more complex conditions. Given this status, work is continuing on careful complete characterization their buckling response with the aid Reference Resistance Design (RRD) framework ultimate benefi...

The eye grows during childhood to position the retina at correct distance behind lens enable focused vision, a process called emmetropization. Animal studies have demonstrated that this growth is dependent upon visual stimuli, while genetic and environmental factors affect likelihood of developing myopia also been identified. coupling between growth, remodeling elastic response in particularly ...

Modern mechanical engineering sets the tasks of calculating thin-walled structures that simultaneously combine sometimes mutually exclusive properties: lightness and economy on one hand high strength reliability other. In this regard, use orthotropic materials plastics seems quite justified.The article demonstrates complex representation method equations shells general theory, which allowed in ...

In this article we investigate the LBB condition for axisymmetric flow problems. Specifically, the sufficiency condition for approximating pairs to satisfy the LBB condition established by Stenberg in the Cartesian coordinate setting is presented for the cylindrical coordinate setting. For the cylindrical coordinate setting, the Taylor-Hood (k = 2) and conforming Crouzeix-Raviart elements are s...

Perturbations of the Kerr black hole in the class of axisymmetric artificial black holes. Abstract Artificial black holes (called also acoustic or optical black holes) are the black holes for the linear wave equaion describing the wave propagation in a moving medium. They attracted a considerable interest of physicists who study them to better understand the black holes in general relativity. W...

Stationary, axisymmetric, vacuum, solutions of Einstein’s equations are obtained as critical points of the total mass among all axisymmetric and (t, φ) symmetric initial data with fixed angular momentum. In this variational principle, the mass is written as a positive definite integral over a spacelike hypersurface. It is also proved that if an absolute minimum exists then it is equal to the ab...