Legacy · Mechanical validation · §8.1

Thin ring under pressure

Case without aging with complete public CSVs. Thin ring: constant $\sigma_\theta$ and $u_r(t)\propto J(t)$ .

Article: Part I · DOI 10.70271/rirc.v1n2a007 · §8.1

Schematic

Data sheet

Item	Value
Geometry	Thin ring: $a=1\,\mathrm{m}$ , $h=0.05\,\mathrm{m}$
Loading	Internal pressure $p_0=0.01\,\mathrm{MPa}$ (step)
Stresses	$\sigma_\theta = p_0 a/h = 0.2\,\mathrm{MPa}$ (constant in time)
Displacement	$u_r=(p_0 a^2/h)\,J(t)$
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 files

Output figures

Output files

ref_zocher_anel_fino.csv — reference series
ref_zocher_pontos_controle.csv — quick checks

How to validate (public)

Impose a unit stress step; the solver must return $J(t)$ from the CSV.
On the ring, check that $\sigma_\theta$ is constant and $u_r\propto J(t)$ .

Package (members)

irc-creep — Zocher material and benches.