22] stress tensor
component is omitted, because its distribution matches closely that of [[sigma].
The applied stresses from the energy-momentum stress tensor
result in strains in, and the deformation of, the spacetime continuum (STC).
m] are the Gibbs free energy density, the electrical field, the stress tensor
, the strain tensor, and the electrical displacement, respectively.
concrete] is the stress tensor
of concrete without fibres, and [T.
where [rho] is mass density, u is displacement vector, [sigma] is the Cauchy stress tensor
, and [f.
ij] are the symmetric and anti-symmetric parts of the stress tensor
The Cauchy stress tensor
T for an incompressible Maxwell fluid is related to the fluid motion in the following manner :
As shown in , the applied stresses from the energy-momentum stress tensor
result in strains in the spacetime continuum.
Secondary flows occurring in viscoelastic fluids of noncircular ducts are orthogonal to the main flow direction and are caused by the stress tensor
components in the transverse plane.
K] and the second Piola-Kirchhoff stress tensor
The material stress tensor
, known as the Eshelby stress, plays a fundamental role in the study of forces, which are driving defects and field singularities in thermomechanics.
The introduction of strains in the spacetime continuum as a result of the energy-momentum stress tensor
allows us to use by analogy results from Continuum Mechanics, in particular the stress-strain relation, to provide a better understanding of strained spacetime.