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Structural Analysis Tool

Sandwich Panel Analysis (Equivalent Stiffness, Core Shear, Failure Modes)

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.

$$\delta_{\text{flex}}=\frac{PL^3}{48D},\quad \delta_{\text{shear}}=\frac{PL}{4S},\quad \sigma_{\text{wr}}=0.5(E_f E_c G_c)^{1/3}$$
Structural Parameters
Face Sheet Material
Face Sheet Thickness t_f 1.5 mm
Core Material
Core Thickness h_c 25 mm
Span Length L 600 mm
Load Type
Load P 2000 N
Cross-Section Schematic
Core Face (t_f) Face (t_f)
δ_total
mm
δ_shear / δ_total
% (shear contribution)
σ_f (face stress)
MPa
τ_c (core shear)
MPa
σ_wr (face wrinkling)
MPa
SF_face (yield)
SF_core (shear)
SF_wrinkling
face wrinkling
Deflection Breakdown (Bending vs Shear)
Failure Mode Map
Theory — Sandwich Structural Mechanics

Bending and Shear Stiffness

$$D=\frac{E_f t_f d^2}{2}+\frac{E_f t_f^3}{6}$$

$$S=G_c h_c\quad(d=h_c+t_f)$$

For a lightweight core: $D \approx E_f t_f d^2/2$ (thin face-sheet approximation).

Midspan Deflection (Simply Supported)

$$\delta_{\text{flex}}=\frac{PL^3}{48D}$$

$$\delta_{\text{shear}}=\frac{PL}{4S}$$

Shear deflection is negligible for thick cores, but becomes dominant for soft cores and short spans.

Face Wrinkling (Hoff-Mautner)

$$\sigma_{\text{wr}}=0.5\,(E_f E_c G_c)^{1/3}$$

Local buckling (wrinkling) of the face sheet. Governed by the product of core stiffness $E_c$ and face modulus.

Core Shear Stress and Face Stress

$$\tau_c=\frac{V}{h_c},\quad\sigma_f\approx\frac{M}{t_f\cdot d}$$

For UDL: $V=qL/2$, $M=qL^2/8$. Check against allowable shear stress $\tau_{\text{allow}}$.