Burmister 3

Convergent Thin-Slice Burmister Solver — Blogger Block

Paste in HTML view. This block converges toward the exact multilayer elastic solution by refining thin slices. Use Auto-Refine to reach a target tolerance.

1) Load Patches

Type RectangleCircle
q (kPa)
cx (m) cy (m)

B (m) L (m)
rot (deg) nx ny

a (m)
nr nθ

(no patches)

2) Soil Layers

Thickness (m)
E (MPa) ν
Slices / layer

(no layers)

Auto-refine
Tolerance (rel) Max refinements
Auto-Refine doubles slices per layer each iteration until σ converges at evaluation depth.

3) Evaluate & Plot

x₀ (m) y₀ (m)
Depth z (m)
Depth samples (plot)

Result: —

4) Heatmap & Export

Xmin Xmax Ymin Ymax Nx Ny

Notes: This convergent solver subdivides layers into thin slices, computes exact Boussinesq σ_z at slice midpoints for the patch set, then iteratively enforces stiffness-weighted compatibility to produce transmitted σ. Use Auto-Refine for practical convergence. For the mathematically exact Burmister transform solution (Hankel / transfer-matrix), ask me and I will produce a validated implementation as a follow-up.