model the finite-sliding interaction between two pipelines or tubes
where one tube lies inside the other or between two tubes or rods that lie next
to each other;
are slide line contact elements, in the sense that they assume that
the relative motion of the two tubes or pipes is predominantly along the line
defined by the axis of one of the tubes (the relative rotations of the tube or
pipe axis are assumed to be small);
can be used with pipe, beam, or truss elements; and
do not consider deformations of the tube or pipe cross-section.
The tube-to-tube contact elements can be used to model two specific classes
of tube-to-tube contact problems: internal (tube within a tube) contact and
external contact, where the two tubes are roughly parallel and contact each
other along their outer surfaces.
Choosing an Appropriate Element
Use ITT21 elements with two-dimensional beam, pipe, or truss elements. Use ITT31 elements with three-dimensional beam, pipe, or truss elements.
Each of these elements is defined by a single node.
Associating the Tube-to-Tube Contact Elements with a Slide Line
You must indicate which set of tube-to-tube contact elements will interact
with a particular slide line. Details on defining slide lines are discussed
below.
Defining the Element's Section Properties
You must associate the geometric section properties with a set of
tube-to-tube contact elements.
Defining the Radial Clearance When Modeling Contact between a Pipe within Another Pipe
You define the radial clearance between the pipes. Give a positive value to
model contact between two pipes when one pipe (the one with the tube-to-tube
contact elements) lies inside of the other pipe. The value given is the
difference between the inner radius of the outer pipe and the outer radius of
the inner pipe.
Defining the Radial Clearance When Modeling Contact between the Outer Surfaces of Two Pipes
You can model external tube-to-tube contact by specifying a negative value
for the radial clearance. The magnitude of the value must be the sum of the
outer radii of the two pipes or rods.
Local Basis for Contact Output Variables
The element output variables for ITT elements are given in a local basis system associated with the
slide line. The first tangent vector, ,
is defined by the sequence of the nodes forming the slide line. The direction
of contact, , is the normal to the
slide line that points toward the nodes of the ITT elements. For ITT31 elements
Abaqus/Standard
forms a second tangent vector, ,
that is orthogonal to both
and . As the elements
move, the local basis system will rotate with the axis of the slide line.
Choosing Which Pipe (Beam or Truss) Will Have the Slide Line
In the case of internal tube-to-tube contact, the slide line can be placed
on the inner tube or the outer tube. Generally the slide line should be
associated with the outer tube (see
Figure 1);
however, if the inner tube is stiffer than the outer tube, the slide line
should be attached to the inner tube.
If contact occurs between the exterior surface of the tubes, the slide line
should be associated with the stiffer tube if the materials or tube radii are
different or with the tube with the coarser mesh if they are the same.
Defining the Slide Line
You can specify the nodes that make up the slide line, or they can be
generated as described below. If you choose to specify the nodes directly, you
must specify them in a sequence that defines a continuous slide line. The nodal
sequence defines a tangent vector
for the slide line. The slide line must be made up of linear segments.
Generating the Slide Line Nodes
Alternatively, you can indicate that the slide line nodes should be
generated and specify only a first node number, a last node number, and an
increment between node numbers.
Smoothing the Slide Line
Convergence is often improved by smoothing the discontinuities in surface
tangents between slide line segments, thereby providing a smoothly varying
tangent along the slide line. For details about smoothing slide lines, see
Contact Formulations in Abaqus/Standard.
Defining Nondefault Mechanical Surface Interactions with Tube-to-Tube Contact Elements
By default,
Abaqus/Standard
uses “hard,” frictionless contact with tube-to-tube contact elements. You can
assign optional mechanical surface interaction models. The following mechanical
surface interaction models are available: