Engineering analysis + design software

User Area > Advice

Effective Use of Joint Elements

Only one element division should be defined in a point joint mesh attribute assigned between points. For an interface joint line/surface mesh attribute, assigned between lines/surfaces, the number of divisions required in the joint mesh attribute will set the mesh divisions on the 'Master' assignment line/surface, and this should match the number of divisions for the existing mesh assigned to the lines/surfaces which will be assigned as the 'Slave' assignment.

All joint elements operate in a local coordinate system. If a local coordinate system is not manually used with the joint mesh, Modeller will attempt to automatically define the coordinate system. There are two main cases that Modeller considers when carrying this out. as follows:

Case 1: nodes 1 and 2 are coincident

  • Node 3 is positioned in the global X axis direction from node 1

  • Node 4 is positioned in the global Y axis direction from node 1

Case 2: nodes 1 and 2 are not coincident

  • Node 3 is positioned on the line defined from node 1 to node 2 extended beyond node 2

  • Node 4 , first the most stable z-axis direction is found from a choice of the 3 global axes. Node 4 is then positioned on the cross-product of the x-axis from node 1 to node 3 and this z-axis.

However, the recommended method is to explicitly define a local coordinate dataset in a known orientation and specify this when assigning the joint mesh. In this way the direction in which the stiffnesses operate will be known definitively.

Strain is measured in the local axis system of the joint elements as

[displacement of node 2 - displacement of node 1]

The sign of the displacements of each of the nodes being measured in the local coordinate system. A negative strain implies compression whilst a positive strain indicates tension. In Modeller the first joint node is the one which is closer to the joint z symbol. To determine which node is the first/second depends on which method of assigning joints has been used...

  • If assigning to individual lines, the order of the nodes originates from the definition of the underlying line - the feature line local x-axis originates at node one and points to node 2
  • If assigning using the interface joint method, then the node order is from the assigned 'Master' line/surface to the 'Slave' line/surface. Node 1 will be indicated by a “Z” in the displayed mesh and this is on the Master assignment side.  

Note that the 'Slave' assignment is taken from the second selected feature or the selection in the selection memory if the option "Mesh from master to slave" is chosen on assigning the mesh.

Search for "Joint Material Properties" in Help > Help Topics > Search for more information on the Force-Displacement relationships associated with each of the nonlinear joint material models.

Results

When investigating the results from an analysis using joints, look at the joint strains using the values layer. This will show in which direction the joint is actually displacing. Once all the joint strains appear reasonable, investigate the normal/shear joint forces this will point out any problems with specification of the joint material parameters. If an analysis refuses to run, revert to the linear stiffness joint material and run the analysis again, in this way a results file will be created (assuming that the joint materials were the reason for the solution difficulties) that can be investigated as above.

Friction Joint Material Model

For the Friction Joint Material Model, there are a few additional comments…

  • The normal force necessary to establish friction force is assumed to be in the local x-direction. The local y-axis (also the z-axis in 3D) is the frictional plane(s)
  • The classical Coulomb friction law is used as the basis for this material in which frictional force is entirely dependent on the development of normal force. It is necessary, therefore, to ensure that analyses using this model apply the normal force prior to any shear loading
  • The elastic stiffness in each of the joint axes is the stiffness used when the joint force is still below the sliding friction threshold. Normally this would be a reasonably large number to simulate the limited shear strain that is experienced prior to sliding (stick to slip conditions).
  • The joint acts as a lift-off joint in the local x direction.


innovative | flexible | trusted

LUSAS is a trademark and trading name of Finite Element Analysis Ltd. Copyright 1982 - 2022. Last modified: November 29, 2022 . Privacy policy. 
Any modelling, design and analysis capabilities described are dependent upon the LUSAS software product, version and option in use.