"Optional title"
entype, enid, cid${}_\tau$, cid${}_{vx}$, cid${}_{vy}$, cid${}_{vz}$, $t_{beg}$, $t_{end}$
Parameter definition
Variable | Description |
---|---|
entype | Entity type |
enid | Entity identification number |
cid${}_\tau$ | ID of a CURVE or FUNCTION defining the shear traction |
cid${}_{vx}$ | ID of a CURVE or FUNCTION defining reference velocity in x-direction |
cid${}_{vy}$ | ID of a CURVE or FUNCTION defining reference velocity in y-direction |
cid${}_{vz}$ | ID of a CURVE or FUNCTION defining reference velocity in z-direction |
$t_{beg}$ | Start time |
$t_{end}$ | End time |
Description
This command defines shear traction on a surface. It can be used to model drag forces and prescribed friction loads. The local direction of the traction $\hat{\mathbf t}$ is in that of the reference velocity ${\mathbf v}_{ref}$ vector minus the local velocity vector ${\mathbf v}({\mathbf x})$, projected onto the surface.
$\displaystyle{ \hat{\mathbf t} = \frac{({\mathbf I}-\hat{\mathbf n} \otimes \hat{\mathbf n})({\mathbf v}_{ref}-{\mathbf v})} {\Vert ({\mathbf I}-\hat{\mathbf n} \otimes \hat{\mathbf n})({\mathbf v}_{ref}-{\mathbf v}) \Vert}}$
Here $\hat{\mathbf n} = \hat{\mathbf n}({\mathbf x})$ is the local surface normal direction.
Example
Shear loading
The following commands apply shear traction on the part with ID 1. The traction is a linear function of the relative tangential velocity vtang. Note that vtang is a built in variable that can be accessed in FUNCTION. The reference velocity is ramping up from 0 to 100 in x-direction.
%C = 2.0
*LOAD_SHEAR
P, 1, 10, 20
*FUNCTION
10
%C * vtang
*CURVE
20
0.0, 0.0
1.0, 100.0