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CoulombFriction

The CoulombFriction is a 1D viscous material that shall be used with for example Damper01 element.

Syntax

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material CoulombFriction (1) (2) (3)
# (1) int, unique material tag
# (2) double, C
# (3) double, alpha

Theory

The stress is constant as long as the velocity is not zero.

\[ \sigma=C\cdot\text{sign}\left(\dot\varepsilon\right)\qquad\text{if~}\dot\varepsilon\neq0. \]

In order to avoid discontinuity, the sigmoid function is used.

\[ \sigma=\dfrac{2C}{\pi}\cdot\arctan\left(\alpha\cdot\dot\varepsilon\right). \]

The factor \(\alpha\) is used to control the steepness of the transition region.