TenNodeTetrahedron Element

This command is used to construct an ten-node tetrahedron element object, which uses the standard isoparametric formulation.


element TenNodeTetrahedron $eleTag $node1 $node2 $node3 $node4 $node5 $node6 $node7 $node8 $node9 $node10 $matTag <$b1 $b2 $b3>






unique element object tag

$node1 .. $node10

10 integer

nodes of tet (ordered as shown in fig below)



tag of nDMaterial

$b1 $b2 $b3

list float

optional: body forces in global x y z directions

This element is based on second-order interpolation of nodal quantities, this means that the strain and stress field inside the element are linearly interpolated. Four Gauss-points inside the element are used for integration.


Fig. TenNodeTetrahedron Element Node Numbering


The valid queries to a TenNodeTetrahedron element when creating an ElementRecorder object are ‘forces’, ‘stresses,’ (‘strains’ version > 2.2.0) and ‘material $matNum matArg1 matArg2 …’ Where $matNum refers to the material object at the integration point corresponding to the node numbers in the isoparametric domain.

This element can only be defined after a model Command with -ndm 3 -ndf 3


The following example constructs a TenNodeTetrahedron element with tag 1 between nodes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 with an nDMaterial of tag 1 and body forces given by varaiables b1, b2, b3.

  1. Tcl Code

element TenNodeTetrahedron 1 1 2 3 4 5 6 7 8 9 10 1 $b1 $b2 $b3
  1. Python Code

element('TenNodeTetrahedron',1, 1,2,3,4,5,6,7,8,9,10, 1, b1, b2, b3)

Code Developed by: José Antonio Abell and José Luis Larenas (UANDES). For bugs and features, start a new issue on the OpenSees github repo and tag me (@jaabell).