Legacy · Mechanical validation · §8.1

Cantilever beam (Zocher Ex. 1)

Case without aging — Section 8.1. Tip load $P(t)=P_0\bigl[H(t)-H(t-t_1)\bigr]$; correspondence $1/E\to J(t)$ × incremental algorithm.

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

Schematic

Data sheet

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_viga_params.csv
• ref_zocher_viga.csv — analytical $w_L$ and via incremental $J$
• Control points: ref_zocher_estrutural_pontos_controle.csv

Output figures (article)