[jaabell]

Branch: jaabell:fix/tet10-integration → OpenSees/OpenSeesDocumentation:master
Code PR: OpenSees/OpenSees#1833

Updates the TenNodeTetrahedron page for the code PR above:

• -doInitDisp $value: enabled by a non-zero value (the page said 0), shown with its dash consistently, and
  usable right after $matTag or after any of the optional body forces.
• Replaces the undefined |bool| substitution with |integer|.
• Documents the stresses/strains response layout (4 Gauss points × 6 components) and per-point
  material $gp parameters.
• A short note on the fixed bugs: volume integrated 6× too small, a heap overflow in stresses/strains, the
  -doInitDisp parsing, the element being unusable in OpenSeesSP/OpenSeesMP, and stray shape-function output
  from the initial stiffness. It now also covers the later fixes: wrong UniformExcitation inertia loads, wrong
  strains in curved elements, inverted elements accepted silently, the eleResponse ... material crash, the
  unreachable setDispInit parameter, initial stiffness from deactivated elements, and the print -JSON node list.
• The new command TenNodeTetrahedronStd: the same element with mid-edge nodes 9 and 10 in standard order (9 on
  edge 2-4, 10 on edge 3-4, as in VTK). TenNodeTetrahedron keeps the gmsh order (9 on edge 3-4, 10 on edge 2-4).
  • Command syntax, Tcl and Python examples, and a node-numbering table for both commands.
  • A note that the existing figure has always shown the standard positions, so models built from it should use
    TenNodeTetrahedronStd (or swap nodes 9 and 10). The figure itself is unchanged; its caption says which
    command it shows.
• A downloadable verification script, example_tet10_patch.tcl, with its expected output:
  • body-force reactions = b·V on a distorted tet;
  • a uniform-strain patch test exact at all 4 points;
  • per-point parameter updates.
• A second script, example_tet10_numbering.tcl, with its expected output. On a curved element it checks that
  TenNodeTetrahedronStd matches TenNodeTetrahedron with nodes 9/10 swapped (to 2e-16), that the wrong order is
  detected, and repeats the patch tests with the new command.
• A third script, example_tet10_curved_patch.tcl, with its expected output: the uniform-strain patch test on
  straight and curved elements (mid-edge nodes moved off the edges), exact to ~3.5e-11 for both commands.

Builds with Sphinx with no warnings from the changed files.

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