<POTENTIAL> 2M1C#
Description#
The potential of type mises_2m1c
exists for the particular case
where there are two flow mechanisms which act under a single criterion.
This model also allows interaction between the isotropic hardening
variable and the kinematic back stresses. The model is particularly
useful for accurate modeling of ratcheting
phenomenon [M27].
Syntax#
**potential 2M1C
[ name ]
*criterion
mises_2m1c
A1
<COEFFICIENT> ]
A2
<COEFFICIENT> ]
[ *flow
<FLOW> ]
[ *kinematic
<KINEMATIC> [ name ] ]
[ *isotropic
<ISOTROPIC> ]
[ *coefficient
]
C12
<COEFFICIENT> ]
a
<COEFFICIENT> ]
beta
<COEFFICIENT> ]
The model requires giving
mises_2m1c
as a criterion type. This criterion will accept coefficientsA1
andA2
(scalar) to simulate a localization process in each of the two mechanisms. In this case the stress equivalent terms in the criterion will be calculated as:with
kinematic hardenings in each mechanism.In the event that the isotropic hardening variable is coupled to the kinematic back stress (type
nonlinear_bsi
), the radius will be calculated with kinematic interaction as:A corresponding isotropic interaction is introduced into the kinematic hardening variable:
where
are the mechanisms and are the kinematic variables in each mechanism.The coefficients
a
andb
indicate that we desire the calculation of the coefficientsC
for the kinematic hardening andC12
(kinematic interaction) for special forms of the interaction matrix (e.g. zero determinant)