TenNodeTetrahedron

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

Python (RT)Tcl

Model.element("TenNodeTetrahedron", tag, nodes, material, *args)

Parameters:

• tag – integer tag identifying the element

• nodes – tuple of integer tags identifying the nodes that form the element

• material – integer tag identifying the nDMaterial

• args – optional arguments

• kwargs – optional keyword arguments

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. 37 TenNodeTetrahedron Element Node Numbering

Note

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 with -ndm 3 -ndf 3

Example

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

2. Python Code

model.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).