SSPbrick Element

This command is used to construct an eight-node ssp brick element. The SSPbrick element is an eight-node hexahedral element using physically stabilized single-point integration (SSP –> Stabilized Single Point). The stabilization incorporates an enhanced assumed strain field, resulting in an element which is free from volumetric and shear locking. The elimination of shear locking results in greater coarse mesh accuracy in bending dominated problems, and the elimination of volumetric locking improves accuracy in nearly-incompressible problems. Analysis times are generally faster than corresponding full integration elements.


element SSPbrick $eleTag $node1 $node2 $node3 $node4 $node5 $node6 $node7 $node8 $matTag <$b1 $b2 $b3>






unique element object tag

$node1 .. $node8

8 integer

nodes of brick (ordered as shown in fig below)



tag of nDMaterial

$b1 $b2 $b3

list float

optional: body forces in global x y z directions


Fig. stdBrick Element Node Numbering


Valid queries to the SSPbrick element when creating an ElementalRecorder object correspond to those for the nDMaterial object assigned to the element (e.g., ‘stress’, ‘strain’). Material response is recorded at the single integration point located in the center of the element.

The SSPbrick element was designed with intentions of duplicating the functionality of the stdBrick Element. If an example is found where the SSPbrick element cannot do something that works for the stdBrick Element, e.g., material updating, please contact the developers listed below so the bug can be fixed.

This element can only be defined after a Section 3.1.1 with -ndm 3 -ndf 3


The following example constructs a brick element with tag 1 between nodes 1, 2, 3, 4, 5, 6, 7, 8 with an nDMaterial of tag 1 and x- and y-directed body forces of zero, and z-directed body force of -10.0. After element has been constructed two recoder commands, Section 3.3.1, are given to record stress and strain when using the SSPbrick element (note the difference from the stdBrick Element)

  1. Tcl Code

element SSPbrick 1 1 2 3 4 5 6 7 8 1 0.0 0.0 -10.0

recorder Element -eleRange 1 $numElem -time -file stress.out  stress
recorder Element -eleRange 1 $numElem -time -file strain.out  strain
  1. Python Code

element('SSPbrick',1,1,2,3,4,5,6,7,8,1, 0.0, 0.0, -10.0)

Code Developed by: Chris McGann, Pedro Arduino, Peter Mackenzie-Helnwein at University of Washington.