Perfect fluidsnew tetradsspacetime evolutionCarter-Lichnerowicz equationcovariant diagonalization stress-energy tensorWe introduce new tetrads that manifestly and covariantly diagonalize the stress–energy tensor for a perfect fluid with vorticity at every spacetime point. This new tetrad can be applied to...
Summary The stress-energy tensor for the perfect magnetofluid is considered to show that i) the energy variation is affected by the magnetic field, and ii) the energy density and the matter density conserve along the flow vector if and only if the magnitude of the magnetic field conserves alo...
A perfect fluid, which was discussed in a previous post, will always have an isotropic pressure by definition. Note that we have not considered all possible casses of the stress energy tensor, such as those containing radiation and not matter. I am not sure why you are trying to consider...
Yield Stress In subject area: Mathematics The static yield stress is the minimum stress required to cause the fluid to flow. From: Studies in Interface Science, 2005 About this pageAdd to MendeleySet alert Also in subject area: EngineeringDiscover other topics ...
The description of the constitutive behavior of this type of material relies on the identification of an appropriate strain-energy function (SEF) from which the stress-strain relation and its derivative, the elasticity tensor, can be derived (for more information on nonlinear continuum mechanics, ...
When life's demands get too intense, our bodies go into survival mode. Cortisol, the "stress hormone," is secreted, which causes an increase in appetite. And of course, we may reach for high-calorie comfort foods in times of stress as well. This combination is a perfect breeding ground ...
As I'm sure I've mentioned before, I've heard people say that stress and pressure terms in the energy tensor act as a gravitational source, but I don't understand how this could be, given that these terms can simply appear or disappear (in a non-stationary situation), unlike energy an...
where i is a free index (i = 1, 2, 3), x is the Cartesian coordinate, σij are the components of the stress tensor and D/Dt is the Lagrangian (material) derivative. Einstein summation rules on repeated indices are applied. The acceleration of gravity in the ith direction is gi,...
1.1.14 Tensor form of the fundamental elasticity equations The basic elasticity problem consists of 15 equations. The expressions of the equations must be simplified for derivations of other form of elasticity equations. Especially, the transforming of the variables from one coordinate to another is ...
The homogenization problem consists here of finding the macroscopic viscous stress potentialΨ(Σ), where Σ denotes the macroscopic stress tensor. General properties of this potential have been stated many times, see for instance Leblond, Perrin, and Suquet (1994b), and are as follows. The macr...