Damper02

Maxwell Model

The Damper02 and Damper04 are Maxwell models that use displacement and velocity as inputs, that is, element length is not used to compute strain or strain rate.

References

The Maxwell model allows combinations of nonlinear springs and dampers. The algorithm implemented is documented in the following paper.

1. 10.1016/j.ymssp.2021.108795

Damper02

The Damper02 is the 2D version.

• Number of Nodes: 2

• Number of DoFs: 2 (Translation, Translation)

• DoF Label: U1, U2

Damper04

The Damper04 is the 3D version.

• Number of Nodes: 2

• Number of DoFs: 3 (Translation, Translation, Translation)

• DoF Label: U1, U2, U3

Syntax

element Damper02 (1) (2) (3) (4) (5) [6] [7] [8]
element Damper04 (1) (2) (3) (4) (5) [6] [7] [8]
# (1) int, unique tag
# (2) int, node i
# (3) int, node j
# (4) int, damper tag
# (5) int, spring tag
# [6] bool string, if to use matrix in iteration, default: true
# [7] int, the maximum delay number, default: 0
# [8] double, beta, default: 0.5

Remarks

1. Parameter [7] indicates if to stack diverged increments into next iteration. If $0$ is assigned, the material returns a failure flag as long as local iteration fails to converge. If $n>0$, a maximum $n$ increments are allowed to be stacked before exit due to divergence.

2. The [8] parameter controls the local time integration, $\beta\in[0,1]$ shall be defined. The default value $0.5$ implies a constant acceleration rule for the spring component in the Maxwell model.