the length of the parallel gauge length section
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