Calculate bending stiffness, core shear deflection, face-sheet stress, and face wrinkling limit (Hoff-Mautner formula) in real time. Visualize the shear deflection contribution to avoid underestimating core shear deformation.
$$D=\frac{E_f t_f d^2}{2}+\frac{E_f t_f^3}{6}$$
$$S=G_c h_c\quad(d=h_c+t_f)$$
For a lightweight core: $D \approx E_f t_f d^2/2$ (thin face-sheet approximation).
$$\delta_{\text{flex}}=\frac{PL^3}{48D}$$
$$\delta_{\text{shear}}=\frac{PL}{4S}$$
Shear deflection is negligible for thick cores, but becomes dominant for soft cores and short spans.
$$\sigma_{\text{wr}}=0.5\,(E_f E_c G_c)^{1/3}$$
Local buckling (wrinkling) of the face sheet. Governed by the product of core stiffness $E_c$ and face modulus.
$$\tau_c=\frac{V}{h_c},\quad\sigma_f\approx\frac{M}{t_f\cdot d}$$
For UDL: $V=qL/2$, $M=qL^2/8$. Check against allowable shear stress $\tau_{\text{allow}}$.