- In
continuum mechanics,
stress is a
physical quantity that
describes forces present during deformation. For example, an
object being pulled apart, such...
- _{ij}} ,
which tends to
change the
volume of the
stressed body; and a
deviatoric component called the
stress deviator tensor, s i j {\displaystyle s_{ij}}...
-
always be
decomposed as the sum of the
isotropic stress tensor and the
deviatoric stress tensor ( σ ′ {\displaystyle {\boldsymbol {\sigma }}'} ): σ = 1...
- that
yielding of a
ductile material begins when the
second invariant of
deviatoric stress J 2 {\displaystyle J_{2}}
reaches a
critical value. It is a part...
- isotropic,
providing the
modified pressure, and the
latter is
called deviatoric,
providing shear effects. Furthermore,
mixed invariants between pairs...
- the sum of a
viscosity term τ {\textstyle {\boldsymbol {\tau }}} (the
deviatoric stress) and a
pressure term − p I {\textstyle -p\mathbf {I} } (volumetric...
- the
dynamic viscosity,
which is
determined by
tensor invariants of the
deviatoric stress tensor τ {\displaystyle {\boldsymbol {\tau }}} and the
strain rate...
- the pressure-sensitivity and g ( θ ) {\displaystyle g(\theta )} is the "
deviatoric" function: g ( θ ) = 1 cos [ β π 6 − 1 3 cos − 1 ( γ cos 3 θ ) ]...
-
Cauchy stress and J 2 {\displaystyle J_{2}} is the
second invariant of the
deviatoric part of the
Cauchy stress. The
constants A , B {\displaystyle A,B} are...
- \mathbf {I} } is the
identity matrix T {\displaystyle \mathbf {T} } is the
deviatoric stress tensor That is,
pulling is
positive stress and
pushing is negative...
