Hydrostatic equilibrium

About: Hydrostatic equilibrium is a research topic. Over the lifetime, 2451 publications have been published within this topic receiving 62172 citations.

Analysis of Rectangular Plates Based on the Hydrostatic Point Phenomenon

Abstract: This paper provides innovative analysis of rectangular plates having various aspect ratios and boundary conditions based on a true understanding of the two-way action. Nine plates with different boundary conditions, each having 11 aspect ratios were uniquely analysed using SAP2000 software. The finite element analysis results were validated against mathematical solutions showed a satisfactory agreement. The hydrostatic point phenomenon was established as the reference point for identifying plates with actual twoway action and as the growth reference for other cases, allowing for the use growth models for both the hydrostatic and deviatoric moment tensors. The innovative selection of the extreme positive point moment facilitates the introduction of material nonlinearity into the design. The plate shorter dimension was used for moment normalization in both directions to preserve the directional influence of the dimensions and to isolate the hydrostatic phenomenon. It was found that for any boundary conditions, through starting at a hydrostatic phenomenon occurrence and via fixing a dimension and extending the perpendicular dimension, the extreme point Mohr circle develops from the hydrostatic point phenomenon as a growth in the hydrostatic component and a more radical growth in the deviatoric component. The largest principal moment develops a higher magnitude as the aspect ratio increases. The presence of non-identical boundary conditions in the plate on two perpendicular directions results in a deviation of the two-way action.

A Comparison Between Venus and the Earth

Abstract: By means of the comparison between dynamical figures of Venus and the Earth, we confirmed that the nonhydrostatic moment difference ratios of the two celestial bodies are approximately equal. The hydrostatic flattening of the external equipotential surface of Venus according to the theory of internal field is equal to about 6 × 10−8, but the observed value of Venusian equatorial flattening is equal to 6.8 × 10−6. The latter is two orders of magnitude more than the former. These facts indicate that Venus itself is far from hydrostatic equilibrium.

Hydrodynamic modelling of hydrostatic magnesium extrusion

Abstract: Wilson’s hydrodynamic model of the hydrostatic extrusion process is extended to meet the geometry found on residual billets The transition from inlet to work zone of the process is not considered sharp as in the model of Wilson but as a rounded edge, modelled by a parabolic function It is shown that this rounded edge has a considerable influence on the predicted film thickness Furthermore, it is shown that for hydrostatic extrusion of magnesium with castor oil as pressure medium, it is not possible to generate full film lubrication in the work zone of the hydrostatic extrusion process

Static anisotropic fluid spheres inD space-time dimensions

Abstract: Using the Einstein field equations in the presence of a cosmological constant, the equations which describe the hydrostatic equilibrium of a static anisotropic fluid sphere are obtained inD (D≥4) space-time dimensions. With suitable transformations, the equation of mass-continuity and of hydrostatic equilibrium are given in a non-dimensional form. The formalism thus developed is used to study homogeneous charged fluid spheres in higher dimensions and for these configurations a complete solution is obtained.