7. Approximation of Bending Theory on Spherical Shell

Study of Torsional Vibrations of Composite Poroelastic Spherical Shell-Biot’s Extension Theory

Torsional vibrations of composite poroelastic dissipative spherical shell are investigated in the framework of Biot’s extension theory.Here composite poroelastic spherical shell consists of two spherical shells, one is placed on other, and both are made of different poroelastic materials. Consideration of the stress-free boundaries of outer surface and the perfect bonding between two shells lea...

Expanding Spherical Shell of Charge

in Gaussian units and in spherical coordinates where a(t) is the radius of the shell, Q is the total surface charge, and H(x, x0) = ∫ x −∞ δ(x ′ − x0) dx′ is the Heaviside step function. However, magnetic charges do not exist, so we cannot have a radial magnetic field of the form (1). That is, the magnetic field is zero, B = 0 everywhere, no matter what is the time dependence a(t) of the radius...

On the Radial Oscillations of a Spherical Thin Shell in the Finite Elasticity Theory*

Spherical Interface Dynamos: Mathematical Theory, Finite Element Approximation, and Application

Stellar magnetic activities such as the 11-year sunspot cycle are the manifestation of magnetohydrodynamic dynamo processes taking place in the deep interiors of stars. This paper is concerned with the mathematical theory and finite element approximation of mean-field spherical dynamos and their astrophysical application. We first investigate the existence, uniqueness, and stability of the dyna...

Horizon Bending for Stylized Spherical Worlds

We present a technique that creates the illusion of a spherical world, while the source scene description is from a flat world. The latter allows us to use standard techniques of planar terrain rendering and physics with a single directional gravity. This is less complex than having an actual spherical world, where different techniques and scene editors are used. Our deformation effect allows u...