Realistic animation and rendering of the metal shell is an important aspect for movies, video games and other simulators. Usually this is handled by FEMmethod, which requires extremely high computational cost due to solving the stiffness matrix. We now propose a trick that could smartly avoid the large scale computation required by FEM, and could still generate visually convincing images of met...

Shell corrections of the finite deformed Woods-Saxon potential are calculated using the Green’s function method and the generalized Strutinsky smoothing procedure. They are compared with the results of the standard prescription which are affected by the spurious contribution from the unphysical particle gas. In the new method, the shell correction approaches the exact limit provided that the di...

The boundary value problem (BVP) for a class of nonlinear ordinary differential equations is examined. It can be used to describe the eversion problem for a spherical shell composed of a class of transversely isotropic incompressible Mooney-Rivlin materials. The solutions of the nonlinear equation describing the relation among deformed thickness, initial thickness and material parameters of the...

In this paper we identify a set of two-dimensional variational inequalities that model the displacement linearly elastic elliptic membrane shell subjected to confinement condition, expressing all points admissible deformed configurations remain in given half-space.

We present developments and applications for the diagonalization of shell-model hamiltonians in a discrete non-orthogonal basis (DNO-SM). The method, its actual numerical implementation CARINA, based on mean-field beyond-mean field techniques has already been applied previous studies is focused states selection optimization. method benchmarked against full set $sd$ shell exact diagonalizations,...

We adopt a personal approach here reviewing several calculations over the years in which we have experienced confrontations between cluster models and the shell model. In previous cluster conferences we have noted that cluster models go hand in hand with Skyrme Hartee-Fock calculations in describing states which cannot easily, if at all, be handled by the shell model. These are the highly defor...