Research-Stack/5-Applications/text-to-cad/models/material_bounded_design_report.md

Material-Bounded Merkle Jack Design Report

Generated: 2026-04-28 04:57:00.915781

Material Properties

• Material: SLS Nylon PA12 (Selective Laser Sintering)
• Young's Modulus: 1.7 GPa
• Yield Strength: 48.0 MPa
• Ultimate Strength: 52.0 MPa
• Density: 930 kg/m³
• Porosity: 3.0%
• Anisotropy Factor: 0.8

Manufacturing Constraints

• Min/Max Tubule Radius: 0.8 / 10.0 mm
• Min/Max Branch Angle: 45.0° / 60.0°
• Max Aspect Ratio: 5.0

Optimization Results

Stress Reduction: 55.6% Safety Factor Improvement: 125.0%

Recommended Geometry

• Branch Angles: ['45.0°', '25.0°', '20.0°', '15.0°']
• Tubule Radius: 2.25 mm

Performance Comparison

Metric	Current	Optimized
Max Stress	819.36 MPa	364.16 MPa
Safety Factor	0.06	0.13
Fatigue Life	0	0
Manufacturing Feasible	No	Yes

Key Differences from Adaptive Model

• No instantaneous geometry changes - uses optimal static geometry
• Elastic deformation only - obeys Hooke's Law
• Yield strength enforcement - prevents plastic deformation
• Fatigue life analysis - accounts for cyclic loading
• Manufacturing constraints - realistic production limits
• Optimization-based design - finds best initial configuration
• Merkle topology strain reinforcement - load sharing through frustration physics

Merkle Topology Strain Reinforcement

The merkle tree structure provides strain reinforcement through FAMM frustration physics:

• When an edge is loaded, strain propagates through the tree

• Sibling edges share load due to frustration minimization

• Deeper nodes benefit from more load sharing paths

• Branching factor determines reinforcement strength

• Branching Factor: 2

• Tree Depth: 4

• Max Reinforcement Factor: 1.15x

❌ DESIGN UNSAFE - Exceeds yield strength