<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].

f=[f12+f22]0.5

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 coefficients A1 and A2 (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:

    fi=J(AisXij)  i=1,2

    with j 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:

    R(α1,α2)=Ro13kb(α1+α2):(α1+α2)+Qr

    A corresponding isotropic interaction is introduced into the kinematic hardening variable:

    Xi=23[Cijo+k(1br)]αj   i,j=1,N

    where i are the mechanisms and j are the kinematic variables in each mechanism.

  • The coefficients a and b indicate that we desire the calculation of the coefficients C for the kinematic hardening and C12 (kinematic interaction) for special forms of the interaction matrix (e.g. zero determinant)