fem: pyramid5 element (solver, quality, decks, VTK)

A five-node pyramid, the conforming transition between a hexahedron's face
and tetrahedra: Bedrosian's rational shape functions with a collapsed (Duffy)
Gauss rule, a certified Jacobian on the base square with exact volume, a
scaled Jacobian, C3D5 / CPYRAM / LS-DYNA degenerate solid, VTK_PYRAMID and
the binary mesh code 13. A distorted hex8-pyramid5-tet4 transition mesh
passes the patch test and uniaxial tension exactly.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
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jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed 2026-10-16 12:48:01 -04:00
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@@ -461,10 +461,11 @@ fn written_connectivity_has_a_positive_jacobian_in_abaqus_conventions() {
#[test]
fn model_faces_are_abaqus_faces() {
// Each face's node positions (1-based, Abaqus element library, our transcription).
let table: [(ElementKind, &[&[usize]]); 3] = [
let table: [(ElementKind, &[&[usize]]); 4] = [
(ElementKind::Hex8, &[&[1, 2, 3, 4], &[5, 8, 7, 6], &[1, 5, 6, 2], &[2, 6, 7, 3], &[3, 7, 8, 4], &[4, 8, 5, 1]]),
(ElementKind::Tet4, &[&[1, 2, 3], &[1, 4, 2], &[2, 4, 3], &[3, 4, 1]]),
(ElementKind::Wedge6, &[&[1, 2, 3], &[4, 6, 5], &[1, 4, 5, 2], &[2, 5, 6, 3], &[3, 6, 4, 1]]),
(ElementKind::Pyramid5, &[&[1, 2, 3, 4], &[1, 5, 2], &[2, 5, 3], &[3, 5, 4], &[4, 5, 1]]),
];
for (kind, faces) in table {
assert_eq!(kind.faces().len(), faces.len());