Submersible Structural Depth & Implosion Visualizer

Preset Submersible

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Hull Geometry Outer Diameterm Nominal Wall Thicknessm Internal Radius / Length1.00 m/3.20 m Hull Lengthm

Preset geometry ready · local browser model

Material Yield Strength (σ_y)MPa Ultimate Strength (σ_u)MPa Young's Modulus (E)GPa Poisson's Ratio (ν) Densitykg/m³ Safety Factor (design)

Viewport Diameterm Viewport Material Viewport Thicknessm Joint / Bond Type Joint Quality0-1 Initial Ovality% D External Defect Depthmm

Water Temperature°C Salinityppt Seawater Densitykg/m³ Internal Pressurebar

Target Max Depthm Descent Ratem/min Number of Cyclic Dives Maximum Prior Depthm

Analysis Mode Failure Criteria Imperfection Amplitude% t Samples

Ready · browser-side screening model

External-pressure survival is screened as competing limit states rather than one depth number.

LoadingHydrostatic differential pressure from depth, density, gravity, and cabin pressure.
Structural limitsShell instability, material yield, viewport, and joint capacity are evaluated separately.
ReductionsOvality, imperfections, defects, cycle history, and uncertainty reduce the nominal envelope.
OutputsFirst damage, predicted collapse, and recommended operating depth remain distinct.

SCREENING MODELIndependent engineering review, qualification, inspection, proof testing, and applicable classification remain mandatory.

Depth3,820 m

External Pressure383 bar38.3 MPa

Hull Utilization91%of predicted collapse

Dominant Failure ModeShell BucklingAxisymmetric / local

Utilization

120%
100%
80%
60%
40%
20%
0%

Deformation Scale: 5.0×

Playback Speed

1. Intact DescentDepth: 2,100 m

▶

2. Local InstabilityDepth: 3,620 mInitial buckling / damage

▶

3. Rapid CollapseDepth: 3,830 mCatastrophic inward collapse

▶

4. Debris CloudDepth: 3,831 mStructure disintegrated / blackout

0.00 / 1.20 s

EQUATIONS & REFERENCES

1. External Pressure

P_e(h) = ρ_sea g h - P_internal

Hydrostatic differential pressure at depth.

2. Cylindrical Shell Buckling

P_cr = K · 2E / √[3(1-ν²)] · (t/R)³

Classical elastic shell estimate with imperfection knockdown K.

3. Spherical Shell Buckling

P_cr,s = K · 2E / √[3(1-ν²)] · (t/R)²

Classical spherical shell estimate.

4. Yield Screening

P_y ≈ σ_y t / R

Membrane-stress screening for a cylindrical pressure hull.

COLLAPSE DEPTH ESTIMATE ⓘ

Nominal Collapse Depth3,860 m

Uncertainty (95%)± 180 m

Confidence87%

First-Damage Depth3,210 m

Recommended Operating Depth2,550 m

FAILURE SUMMARY

Dominant Failure Mode: Shell Buckling (Local)
Secondary Mode: Material Yield
Critical Location: Forward cylindrical section
Utilization at Target: 104% of limit
Estimated Collapse Duration: ~0.21 s

SAFETY MARGIN ⓘ

Safety Margin vs Depth

Pressure vs Depth

CYCLE HISTORY (Cumulative Damage)

Dive #	Max Depth	Damage	Notes
1	2,000 m	0.004	Baseline
5	3,000 m	0.021	Within limits
10	4,000 m	0.068	Elevated risk

NOTES

Model includes geometric imperfections, material variability, cyclic loading, and joint/viewport reductions.

Results are estimates and require engineering judgment.

LIMIT STATE BREAKDOWN

Shell Buckling3,860 m Material Yield5,150 m Viewport4,520 m Joint / Bond4,120 m

Submersible Structural Depth & Implosion Visualizer

Structural screening framework and interpretive boundaries

Scholarly annotations and validation notes