Principles
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| Title | ID | Chain | Domain | Tier | δ | L_DAG | Specs | Benchmarks |
|---|---|---|---|---|---|---|---|---|
| Linear Elasticity — Navier-Cauchy 3D solid mechanics | L1-207 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Euler-Bernoulli Beam — thin-beam bending | L1-208 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Timoshenko Beam — shear-deformation thick-beam | L1-209 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Kirchhoff Plate — thin-plate bending | L1-210 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Mindlin-Reissner Plate — thick-plate with shear | L1-211 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Shell Theory — curved thin-structure mechanics | L1-212 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Modal Analysis — natural frequencies and mode shapes | L1-213 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Linear Buckling — eigenvalue stability analysis | L1-214 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| Hyperelasticity — large-deformation rubber-like | L1-215 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| J2 Plasticity — von Mises rate-independent | L1-216 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Crystal Plasticity — slip-system resolved plasticity | L1-217 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 10 | 3.8 | 0 | 0 |
| Viscoelasticity — linear hereditary models | L1-218 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Creep Mechanics — high-temperature rate-dependent | L1-219 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Linear Elastic Fracture Mechanics (LEFM) — K/J evaluation | L1-220 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| Cohesive Zone Model — traction-separation interface | L1-221 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| XFEM — extended finite element for cracks | L1-222 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Phase-Field Fracture — regularized crack model | L1-223 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Fatigue — Paris law crack growth | L1-224 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Hertzian Contact — elastic sphere/cylinder contact | L1-225 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Frictional Contact — Coulomb / state-rate friction | L1-226 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Poroelasticity — Biot coupled solid/fluid | L1-227 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Thermoelasticity — coupled thermal-mechanical | L1-228 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Piezoelectricity — coupled mechanical-electrical | L1-229 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Elastodynamics — dynamic wave propagation in solids | L1-230 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Continuum Damage Mechanics — scalar/tensor damage | L1-231 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |