Fig. 5.11 Evolution of the damage parameter per Eq. (5.114) for D cr ¼ 1.0 under fatigue loading
with ISR ¼ 0.022
(
/ )
y
y
y dy
σ
σ
+ ∂ ∂
(
/ )
yz
yz
m
m
y dy
+ ∂
∂
(
/ )
yx
yx
y dy
τ
τ
+ ∂
∂
(
/ )
x
x
x dx
σ
σ
+ ∂
∂
(
/ )
xy
xy
x dx
τ
τ
+ ∂
∂
(
/ )
xz
xz
m
m x dx
+ ∂
∂
x
σ
xz
m
xy
τ
y
σ
yx
τ
yz
m
Fig. 5.12 Cosserat continuum stress point [After Gomez (2006)]
5.6 Thermo-mechanical Analysis of Cosserat Continuum: Length-Scale Effects
243