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Pyramid5 and WEDGE15

Scope note · assumptions, essential equations, full derivation, algorithm, code and verification references.

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Scope notePYRAMID5 RESEARCH_ONLY · WEDGE15 UNSUPPORTED

Visible boundaries prevent a mesh containing these families from being mistaken for an ordinary supported route.

01 Model and scope

This sheet is a fail-closed boundary: a mesh containing an unsupported or research-only family must not be silently treated as a supported continuum model. No interpolation or stiffness formula is advertised as a public production route here.

This is a scope record. Its presence in the catalogue does not make the described route an ordinary supported capability.

Route assumptions and calculation checks

  1. Pyramid5 is internal/research-only, not a public supported-element claim.
  2. WEDGE15 is unsupported.
  3. No formulation card implies a mesh converter may silently replace either family.

02 Essential equations and symbols

This sheet records a scope or execution boundary. Its detailed steps explain the relevant conditions.

Definitions and conventions

PYRAMID5
Internal/research-only family in the public maturity map.
WEDGE15
Unsupported family.
RESEARCH_ONLY
Implementation presence does not establish a supported route.
Mesh elementfamily IDCapabilityroute guardExplicitstop / warnElement type → capability check → explicit resultNo public qualified interpolation to claimNo silent conversion to TET4 or WEDGE6Promotion needs a separate formulation and V&V package
Unsupported and research-only element boundaryPyramid5 remains an internal research family and WEDGE15 is unsupported. The route must stop or report the declared restriction; it must not silently substitute another element.
2 detailed steps

03 Step by step derivation

Follow the assumptions, equations and discrete operations in order. The full explanation stays visible.

Pyramid5 · internal research boundary

Pyramid5 may exist in internal or research code, but the public maturity map does not declare it a supported production continuum element. Therefore this sheet intentionally does not publish an interpolation or stiffness equation as though it were an accepted route. Implementation presence is not evidence of mesh, Jacobian, patch, convergence, or solver qualification.

RESEARCH_ONLY≠QUALIFIED_BOUNDED\mathrm{RESEARCH\_ONLY}\ne\mathrm{QUALIFIED\_BOUNDED}promotion requires a controlled topology, interpolation, Jacobian, B, integration, and V&V contract\text{promotion requires a controlled topology, interpolation, Jacobian, }B,\text{ integration, and V\&V contract}

Before using this family, inspect the capability row and confirm that import/validation fails closed when the family is outside the selected route.

WEDGE15 · unsupported family

WEDGE15 is marked unsupported. There is no public formulation equation to derive and no evidence permitting the solver to silently replace it with WEDGE6 or another cell. A valid workflow must identify the element type during mesh import and stop with a clear unsupported-family diagnostic before assembly.

WEDGE15∉the supported public element set\text{WEDGE15}\notin\text{the supported public element set}unsupported input⟹explicit rejection, not silent element substitution\text{unsupported input}\Longrightarrow\text{explicit rejection, not silent element substitution}

The right next step is a separate element-development and verification effort: topology/node ordering, shape functions, geometry validity, strain operator, quadrature, loads/mass, patch tests, convergence, and named route evidence.

04 Algorithm and implementation

This sheet provides explanatory references rather than an inline source excerpt. Use the labeled sources to inspect the precise boundary.

05 Verification and limitations

PYRAMID5 RESEARCH_ONLY · WEDGE15 UNSUPPORTED

Each reference supports its own model, observable and analysis route. Read the original contract and limitations before transferring a conclusion.

06 Sources and related sheets

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