Legacy · Mechanical validation · §8.1

Infinite plate with a hole (Kirsch)

Remote tension in an infinite plate with a circular hole — elastic concentration carried in time via $J(t)$ (without aging). §8.1.

Article: Part I · DOI 10.70271/rirc.v1n2a007

Schematic

Data sheet

Item	Value
Geometry	Hole $a=1\,\mathrm{m}$ in an infinite plate
Loading	$\sigma_\infty=0.01\,\mathrm{MPa}$
Edge	$u_r(a,t)=3a\sigma_\infty J(t)$
Material	SLS Zocher

Material (shared — Zocher / SLS)

Material A of Zocher, Groves and Allen (1997): $E_0=0.5\,\mathrm{MPa}$ , $E_\infty=0.1\,\mathrm{MPa}$ , $\tau_\sigma=1$ t.u., $\tau_\varepsilon=\tau_\sigma E_0/E_\infty$ , $\nu=0.3$ .

ref_zocher_params.csv
ref_zocher_J_R.csv — analytical $J(t)$ and $R(t)$

The $\eta_n$ , $q_n$ algorithm under unit stress must recover $J(t)$ independently of the mesh.

Input / output files

ref_zocher_placa_furo_params.csv
ref_zocher_placa_furo.csv — analytical × incremental $u_r(a,t)$