Auxetic Hexagonal Honeycomb Shear Layer Design

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Solution Overview

Problem

Existing hexagonal honeycomb structures face limitations in achieving high shear strength and strain while maintaining flexibility, particularly in applications requiring lightweight and high impact energy absorption, such as aerospace and morphing wing technologies.

Innovation Solution

Designing shear compliant hexagonal honeycombs with auxetic configurations using aluminum or titanium alloys, optimizing cell geometry parameters like cell angle, thickness, and length to achieve a shear modulus of 10 MPa and high shear yield strain, leveraging re-entrant geometry and cellular materials theory for enhanced mechanical properties.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Strength

If conventional hexagonal honeycomb structures are used, then structural stability is maintained, but shear strength and shear strain remain limited

Engineering Contradiction:
Improveshear strengthVSAvoidstructural complexity
Core Design Contradiction:
StrengthVSDevice complexity

Solution Approach 1:

The patent applies asymmetry by introducing a negative Poisson's ratio (auxetic) configuration to the hexagonal honeycomb structure. This transforms the conventional symmetric geometry into an asymmetric re-entrant geometry where cell walls are configured at specific angles (e.g., 120 degrees) to create directional mechanical properties. The asymmetric arrangement of cell walls allows for enhanced shear deformation mechanisms while maintaining overall structural stability, directly addressing the contradiction between improving shear strength and managing structural complexity.

Inventive Principle:
Principle #4Asymmetry

Solution Approach 2:

The patent employs parameter changes by systematically varying geometric parameters including cell angle (θ), cell wall thickness (t), and cell size (L) to optimize mechanical properties. By adjusting these parameters, the structure achieves target shear modulus values (e.g., 10 MPa) and enhanced shear yield strength. The parameter optimization process transforms the conventional honeycomb into a tailored auxetic structure with specific mechanical characteristics, resolving the contradiction between strength enhancement and structural simplicity.

Inventive Principle:
Principle #35Parameter changes

2Ease of operation

If re-entrant geometry is used to increase flexibility, then shear strain increases, but structural stability decreases

Engineering Contradiction:
ImproveflexibilityVSAvoidstructural stability
Core Design Contradiction:
Ease of operationVSStability of the object's composition

Solution Approach 1:

The patent applies dynamics by designing the re-entrant honeycomb structure to exhibit dynamic deformation mechanisms under shear loading. The cell walls are configured to undergo controlled bending and rotation, allowing the structure to adapt its stiffness characteristics during deformation. This dynamic behavior enables the structure to achieve high shear strain (e.g., 0.17) while maintaining stability through progressive deformation mechanisms rather than sudden failure.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent uses segmentation by dividing the continuous structure into discrete cellular units with specific re-entrant configurations. Each cell acts as an independent deformation element, allowing localized flexibility while the overall structure maintains stability through the collective behavior of multiple segmented units. The segmentation enables the structure to distribute deformation across many cells, preventing stress concentration and maintaining compositional stability during large shear strains.

Inventive Principle:
Principle #1Segmentation

3Strength

If cell wall thickness is increased to improve shear strength, then weight increases

Engineering Contradiction:
Improveshear yield strengthVSAvoidstructure weight
Core Design Contradiction:
StrengthVSWeight of moving object

Solution Approach 1:

The patent applies composite materials by combining the hexagonal honeycomb geometry with high-strength aluminum alloy (7075-T6) or titanium alloy (6Al-4V) materials. This composite approach allows the use of thinner cell walls compared to conventional materials, reducing weight while maintaining or enhancing shear strength. The synergistic combination of the auxetic geometric configuration and high-strength materials achieves superior strength-to-weight ratio, resolving the contradiction between shear yield strength and structure weight.

Inventive Principle:
Principle #40Composite materials

Solution Approach 2:

The patent employs parameter changes by optimizing the cell wall thickness parameter (t) in conjunction with other geometric parameters to achieve target mechanical properties. By carefully selecting and optimizing the thickness parameter within specific ranges, the structure achieves high shear yield strength while minimizing weight. The parameter optimization allows for precise control of the strength-to-weight ratio, transforming the trade-off into a design variable that can be tuned for specific application requirements.

Inventive Principle:
Principle #35Parameter changes

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The auxetic honeycomb structures exhibit higher effective shear yield strength and strain, making them suitable for flexible structural designs that mimic elastomers, and can be applied in tire technology for reduced mass and hysteresis, while avoiding buckling and fracture.

Implementation Method 1

the re-entrant geometry affects the flexible property of NPR honeycombs, resulting in an effective shear yield strength, (T*pl)12 of 1.7 MPa and an effective shear yield strain, (γ*pl)12 of 0.17

Methodology Applied
Scientific EffectRe-entrant geometry: Geometry

Implementation Method 2

hexagonal honeycombs can be easily tailored to have an effective negative Poisson's ratio with negative internal cell angles. This induces the flexible property of the cellular structures

Methodology Applied
Scientific EffectNegative Poisson's ratio effect: Poisson's Effect

Implementation Method 3

the in-plane moduli of hexagonal honeycombs have been successfully investigated with the cell wall bending model, which is called cellular material theory (CMT)

Methodology Applied
Scientific EffectCellular materials theory:

Data Source

PatentUS8609220B2Shear compliant hexagonal meso-structures having high shear strength and high shear strain
Publication Date: 2013.12.17 MICHELIN & CO (CIE GEN DES ESTAB MICHELIN)
  • US8609220B2 patent drawing
  • US8609220B2 patent drawing
  • US8609220B2 patent drawing

AI summary

A shear layer for a shear band that is used in a tire is provided that has multiple cells or units having an auxetic configuration and that are constructed from aluminum or titanium alloys. The cells may have an angle of −10°.