Burmister 4

Convergent Thin-Slice Burmister Solver — Memoized & Auto-Refine (Strain Output)

1) Patches (memoized sampling)
Type RectangleCircle
q (kPa)
cx (m) cy (m)

B (m) L (m)
rot (deg) sample Nx sample Ny

a (m)
nr nθ

(no patches)

2) Soil layers & slice settings
Thickness (m)
E (MPa) ν
Slices / layer

(no layers)

Auto-refine
Tolerance (rel) Max refinements

3) Evaluate & Results (strain output)
x₀ (m) y₀ (m)
Depth z (m)
Depth samples (plot)

σ_z @ depth: —

ε_z (slice) : —

Estimated settlement (mm): —

Export — CSV of depth, σ_z (Pa), ε_z, slice_thickness (m).

Notes: We memoize patch sampling (one sampling pass per patch). Auto-refine doubles per-layer slices until the σ at your evaluation depth converges within the relative tolerance. Vertical strain per slice is approximated as ε = σ/E (E in Pa). Settlement = ∑ ε * thickness.