VAFCRP1D

Viscous J2 Steel Model

The VAFCRP1D model is the uniaxial version of the VAFCRP model.

It adds viscosity on top of the ArmstrongFrederick1D.

References

1. 10.1017/S0368393100118759

2. 10.1179/096034007X207589

3. 10.1016/0749-6419(89)90015-6

4. 10.1002/nme.1620360807

Theory

The Peric (1993) type definition is used for viscosity.

$$\dfrac{\gamma}{\Delta{}t}=\dot{\gamma}=\dfrac{1}{\mu}\left(\left(\dfrac{|\eta|}{k}\right) ^{\dfrac{1}{\epsilon}}-1\right),$$

where $\mu$ and $\epsilon$ are two material constants that controls viscosity. Note either $\mu$ or $\epsilon$ can be set to zero to disable rate-dependent response. In that case this model is identical to the ArmstrongFrederick1D model.

Syntax

The following applies to v3.6 and later. Check the older syntax in the older version of the documentation.

material VAFCRP1D (1) (2) (3) (4) (5) (6) (7) (8) [(9) (10)...] [11]
# (1) int, unique material tag
# (2) double, elastic modulus
# (3) double, yield stress, \sigma^i
# (4) double, linear hardening modulus, K
# (5) double, saturation stress, \sigma^s
# (6) double, m^s, saturation rate
# (7) double, mu
# (8) double, epsilon
# (9) double, a
# (10) double, b
# [11] double, density, default: 0.0

Examples

See VAFCRP.