in this study, the formation of different parts of a cup during deep drawing process has been investigated analytically using the geometrical relationships. for a given punch travel, the effects of the bending angle, and those of the die and shoulder radii on the flange and die shoulder strains were examined. in addition, different components of the deformation force were calculated and the pun...

To discover the nonlinear characteristics of pipe flow, we simulated the flow as a sum of many vortex rings. As a first step, we investigated the nonlinear interaction among a maximum of three vortex rings. The pipe wall was replaced by many bound vortices. A free vortex ring moves right or left according to the radius, and that of a particular radius keeps the initial position. The energy of a...

The Poisson-Boltzmann implicit solvent (PB) is widely used to estimate the solvation free energies of biomolecules in molecular simulations. An optimized set of atomic radii (PB radii) is an important parameter for PB calculations, which determines the distribution of dielectric constants around the solute. We here present new PB radii for the AMBER protein force field to accurately reproduce t...