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 [T.

The Cauchy

stress tensor T for an incompressible Maxwell fluid is related to the fluid motion in the following manner [13]:

As shown in [1], 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 [T.

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.