Elements

Per-element living documentation — one sub-gallery per registered element. Each script is a runnable companion to the corresponding theory page under Element library, exercising the same shape functions, quadrature rule, and formulation options on a tiny self-contained problem.

These examples run on every docs build, so the theory pages stay grounded in code that actually works.

BEAM188 gallery

Runnable BEAM188 (3D 2-node beam) examples.

BEAM2 reference geometry — Hermite cubic shape functions

BEAM2 reference geometry — Hermite cubic shape functions

BEAM2 — cantilever tip deflection and first mode

BEAM2 — cantilever tip deflection and first mode

COMBIN14 gallery

Runnable COMBIN14 (3D 2-node spring) examples.

SPRING — 2-node longitudinal spring stiffness

SPRING — 2-node longitudinal spring stiffness

SPRING — two springs in series

SPRING — two springs in series

LINK180 gallery

Gallery of runnable LINK180 (3D 2-node truss) examples. See examples/link180/README.md in the repository for the element theory write-up.

TRUSS2 reference geometry — linear axial bar

TRUSS2 reference geometry — linear axial bar

TRUSS2 — axial truss under end load

TRUSS2 — axial truss under end load

MASS21 gallery

Runnable MASS21 (1-node lumped mass) examples.

POINT_MASS — single-node lumped mass

POINT_MASS — single-node lumped mass

POINT_MASS — single-DOF spring-mass oscillator

POINT_MASS — single-DOF spring-mass oscillator

PLANE182 gallery

Runnable PLANE182 (2D 4-node quad) examples.

QUAD4 plane reference geometry — bilinear shape functions + 2×2 Gauss

QUAD4 plane reference geometry — bilinear shape functions + 2×2 Gauss

QUAD4 bilinear shape functions on the reference square

QUAD4 bilinear shape functions on the reference square

QUAD4_PLANE — plane-stress uniaxial tension

QUAD4_PLANE — plane-stress uniaxial tension

SHELL181 gallery

Runnable SHELL181 (4-node shell) examples.

QUAD4 shell reference geometry — Mindlin–Reissner shape functions

QUAD4 shell reference geometry — Mindlin–Reissner shape functions

QUAD4_SHELL — uniaxial stretch of a flat square plate

QUAD4_SHELL — uniaxial stretch of a flat square plate

SOLID185 gallery

Runnable SOLID185 (8-node hex) examples.

HEX8 reference geometry — nodes, shape functions, Gauss points

HEX8 reference geometry — nodes, shape functions, Gauss points

HEX8 shape-function surfaces on the reference cube

HEX8 shape-function surfaces on the reference cube

HEX8 — uniaxial tension of a unit cube

HEX8 — uniaxial tension of a unit cube

SOLID186 gallery

Runnable SOLID186 (20-node serendipity hex) examples.

HEX20 — uniaxial tension on a 20-node hex

HEX20 — uniaxial tension on a 20-node hex

HEX20 reference geometry — corner + mid-edge nodes, Gauss points

HEX20 reference geometry — corner + mid-edge nodes, Gauss points

HEX20 shape-function slices on the bottom face

HEX20 shape-function slices on the bottom face

SOLID187 gallery

Runnable SOLID187 (10-node quadratic tetrahedron) examples.

TET10 — prescribed uniform strain on a 10-node tet

TET10 — prescribed uniform strain on a 10-node tet

TET10 shape-function slices on the unit tetrahedron

TET10 shape-function slices on the unit tetrahedron

TET10 reference geometry — corner + mid-edge nodes, Keast points

TET10 reference geometry — corner + mid-edge nodes, Keast points