Elastodynamics — dynamic wave propagation in solids L1-230

Structural MechanicsElastic wave equation (P/S waves)δ=5 · challengingL_DAG = 3.3📋 Stub — not mineable

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Forward model E

rho \cdot d^2 u/dt^2 = div(C : eps(u)) + f; c_P = \sqrt{(\lambda+2mu)/rho), c_S = \sqrt{mu/rho)

Elastodynamics — dynamic wave propagation in solids forward model.

L-DAG

L.initial_condition -> L.hyperbolic_wave -> L.record.sensors -> int.temporal

L.initial_conditionL.hyperbolic_waveL.record.sensorsint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 500

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: FDTD-elastic, Spectral-element, Elasto-NN
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.