|
the width of the parallel gauge length section |
|
fillet radius |
w |
the width of MTP specimen |
|
total strain tensor |
|
elastic strain tensor |
|
visco-plastic strain tensor |
|
Cauchy stress tensor |
,
|
identity tensor and deviatoric part |
|
shear and bulk moduli |
|
the second invariant |
|
von-Mises yield function |
|
the deviatoric stress of Cauthy stress tensor |
,
|
non-linear kinematic hardening back-stress, deviatoric part of
back-stress |
|
later and initial kinematic hardening back-stress |
|
isotropic hardening drag stress |
|
visco-plastic multiplier |
|
visco-plastic multiplier rate |
|
initial cyclic yield stress |
|
linear hardening term |
|
dynamic recovery term |
,
|
kinematic hardening parameters |
,
|
isotropic hardening parameters |
|
total effective gauge length |
|
scaling factor |
|
intended applied displacement |
|
displacement between the parallel gauge length |
|
average strain between the parallel gauge length |
|
hysteresis area |
|
Young’s modulus |
n’ |
cyclic strain hardening exponent |
K’ |
cyclic strength coefficient |
N, Nf
|
number of cycles, and number of
cycles to failure |