Legacy · Mechanical validation · §8.1

Thick cylinder in a rigid shell (Zocher Ex. 2)

Internal pressure p0H(t)p_0 H(t), boundary ur(b)=0u_r(b)=0 (rigid shell). Without aging — §8.1.

Article: Part I · DOI 10.70271/rirc.v1n2a007

Schematic

Clamped thick cylinder

Data sheet

Item Value
Geometry a=2ma=2\,\mathrm{m}, b=4mb=4\,\mathrm{m}; readout at r=(a+b)/2r=(a+b)/2
Boundary ur(b)=0u_r(b)=0; internal pressure p0=100Pap_0=100\,\mathrm{Pa}
Material SLS Zocher

Material (shared — Zocher / SLS)

Material A of Zocher, Groves and Allen (1997): E0=0.5MPaE_0=0.5\,\mathrm{MPa}, E=0.1MPaE_\infty=0.1\,\mathrm{MPa}, τσ=1\tau_\sigma=1 t.u., τε=τσE0/E\tau_\varepsilon=\tau_\sigma E_0/E_\infty, ν=0.3\nu=0.3.

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

Input / output files