188
4 Visco-Elasticity
a)
t
σ
(tmax = 100 × 0.1 σmax,min = ± 5.0)
b)
t
(tmax = 100 × 0.1 max,min = ± 5.0)
c)
σ
( max,min = ± 5.0 σmax,min = ± 5.0)
d)
t
v
(tmax = 100 × 0.1 p,max,min = ± 5.0)
e)
σ
( max,min = ± 5.0 σmax,min = ± 5.0)
f)
σ
( max,min = ± 5.0 σmax,min = ± 5.0)
Fig. 4.59 Response analysis of Standard-Linear-Solid Maxwell model with material data: η m =
1.0, E m = 1.0 (τ m = 1.0), E ∞ = 1.0 (E 0 = E k = 2.0, η k = 4.0, τ k = 2.0). Prescribed Ramp
stress history with data: σ a = 5.0, a–d t 0 = 0.0, t 1 = 1.0, t 2 = 9.0, t 3 = 10.0; = 0.1, N =
100, e t 0 = 0.0, t 1 = 0.1, t 2 = 0.9, t 3 = 1.0; = 0.01, N = 100, f t 0 = 0.0, t 1 = 0.01, t 2 =
0.09, t 3 = 0.1; = 0.001, N = 100
4 Visco-Elasticity
a)
t
σ
(tmax = 100 × 0.1 σmax,min = ± 5.0)
b)
t
(tmax = 100 × 0.1 max,min = ± 5.0)
c)
σ
( max,min = ± 5.0 σmax,min = ± 5.0)
d)
t
v
(tmax = 100 × 0.1 p,max,min = ± 5.0)
e)
σ
( max,min = ± 5.0 σmax,min = ± 5.0)
f)
σ
( max,min = ± 5.0 σmax,min = ± 5.0)
Fig. 4.59 Response analysis of Standard-Linear-Solid Maxwell model with material data: η m =
1.0, E m = 1.0 (τ m = 1.0), E ∞ = 1.0 (E 0 = E k = 2.0, η k = 4.0, τ k = 2.0). Prescribed Ramp
stress history with data: σ a = 5.0, a–d t 0 = 0.0, t 1 = 1.0, t 2 = 9.0, t 3 = 10.0; = 0.1, N =
100, e t 0 = 0.0, t 1 = 0.1, t 2 = 0.9, t 3 = 1.0; = 0.01, N = 100, f t 0 = 0.0, t 1 = 0.01, t 2 =
0.09, t 3 = 0.1; = 0.001, N = 100