5.16 Consider the constant stress rate load and unload history in Figure 5.23.
(a) Consider the creep compliance
!
J(t) =1
100 (1“0.9e“t#C)
Calculate
!
˙
“ (T*+)#
for
!
T*“C=0.1
and
!
T*“C=2.0
(b) Plot ε vs. t for
!
T*“C=0.1
and
!
T*“C=2.0
(c) Plot σ vs. ε for
!
T*“C=0.1
and
!
T*“C=2.0
SOLUTION
(a) From
˙
“ T*+
( )
#=J T*
( )
$2J(0)
“(t) =#o
100
t
( )
&
‘
(
)
*
+
!
“=0.9e#t$C
100 %o
$C
&
‘
(
)
*
+
!
T*“C=0.1
stress vs. time input
strain vs. time response
!
T*“C=2.0
stress vs. time input
strain vs. time response
(c) strain in terms of stress
Loading
!
“(t) =“o
“(t) =#o
100
#
#o
+0.9 $C
%#
#o
T*
$C%1
&
(
(
)
+
+
,
.
.
/
1
1
!
‘
*
–
0
!
T*“C=0.1
!