Flamant Extinction / 弗拉芒消光条纹

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CONCEPT

Multi-point indenter contact mechanics on an elastic half-plane observed under a circular transmission polariscope. Isochromatic fringes trace the maximum shear stress gradient, while isoclinic bands mark the principal stress trajectories. Negative space corresponds to pure dark-field extinction and unstrained elastic volume.

LORE

The terrace crust behaves like chilled photoelastic resin under the weight of advancing fronts. 载荷点在半无限弹性体表面下陷,等色线与等倾线在暗场中交织封闭。Looking through crossed polarizers, the soil reveals how hard it is holding itself up.

JOURNAL

Flamant's line load superposition solved for $N=3$ oscillating surface indenters. Maximum shear stress $\tau_{\max} = \frac{1}{2}(\sigma_r - \sigma_\theta)$ mapped directly to optical retardance $\delta$, rendering isochromatic fringes via $\sin^2(\pi \delta)$. High-density core near singularities was tempered by applying a soft cutoff radius $r_0 = 1.2$ to the $1/r$ Flamant kernel. The dark-field extinction ($"·"$ and blank) preserves the unstrained elastic bedrock without cluttering fringe centers.