3.1.10.6. zeroLengthContactNTS2D Element

This command is used to construct a node-to-segment (NTS) frictional contact element for 2D analysis. The relation follows the Mohr-Coulomb frictional law: \(T = N \times \tan(\phi)\), where \(T\) is tangential force, \(N\) is normal force, and \(\phi\) is friction angle.

element zeroLengthContactNTS2D $eleTag -sNdNum $sNdNum -mNdNum $mNdNum -Nodes $nodeTags $kn $kt $phi

Argument

Type

Description

$eleTag

integer

unique element object tag

$sNdNum

integer

number of slave nodes

$mNdNum

integer

number of master nodes

$nodeTags

list integer

slave and master node tags (counterclockwise order)

$kn

float

penalty in normal direction

$kt

float

penalty in tangential direction

$phi

float

friction angle in degrees

Note

  1. Slave and master nodes must have 2 DOF and be entered in counterclockwise order.

  2. The tangent from the contact element is non-symmetric; use a non-symmetric system solver if convergence is difficult.

  3. The contact normal is computed automatically (no predefined normal vector required).

  4. The element supports large deformations.

Example

From the OpenSees wiki: element with tag 1, 6 slave and 6 master nodes, node tags as listed, kn = kt = 1e8, friction angle 16°.

  1. Tcl Code

element zeroLengthContactNTS2D 1 -sNdNum 6 -mNdNum 6 -Nodes 5 10 12 3 9 11 1 4 2 8 7 6 1e8 1e8 16
  1. Python Code

ops.element('zeroLengthContactNTS2D', 1, '-sNdNum', 6, '-mNdNum', 6, '-Nodes', 5, 10, 12, 3, 9, 11, 1, 4, 2, 8, 7, 6, 1e8, 1e8, 16)

References: Wriggers, P., Computational Contact Mechanics, John Wiley & Sons, 2002.

Code developed by: Roozbeh G. Mikola, UC Berkeley and N. Sitar, UC Berkeley