solver, model, engine: linear buckling steps

Procedure::Buckle {modes, shift}: the step's loads as a linear preload, K_σ from its stresses,
and (K + λ K_σ) φ = 0 by block Lanczos in the K inner product: K⁻¹(−K_σ) on Cholesky without a
shift, the buckling transformation (K + σ K_σ)⁻¹ K on LDLᵀ with one, whose inertia counts the
load factors below σ (Grimes–Lewis–Simon 1994). Lanczos gains an operand and an eigenvalue map
(defaults keep frequency steps bit for bit) and reports converged negative eigenvalues. Results
are frequency results with a `buckling` part; modes display with their load factor.
solve.buckle (in the Static drop-down); Abaqus *BUCKLE, Nastran SOL 105 and LS-DYNA refuse it by
name. Euler columns of hex20 within 0.18 % of Engesser's load.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo

crates/engine/src/catalogue.rs

@@ -470,8 +470,8 @@ pub static CATALOGUE: &[Capability] = &[
         "Static",
         Solve,
         "Implicit",
-        "Linear static (or coupled temperature–displacement) solve of a step with FieldCraft's own solver; nonlinear static and heat transfer in the drop-down",
-        &["solve.nonlinear", "solve.heat"],
+        "Linear static (or coupled temperature–displacement) solve of a step with FieldCraft's own solver; nonlinear static, buckling and heat transfer in the drop-down",
+        &["solve.nonlinear", "solve.buckle", "solve.heat"],
     ),
     ready("solve.frequency", "Frequency", Solve, "Implicit", "Natural frequencies and mode shapes of a frequency step"),
     ready(