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Related Concept Videos

Strain-Energy Density01:20

Strain-Energy Density

Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this region...
Plastic Behavior01:21

Plastic Behavior

A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and reloaded.
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...

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Correction: Kang et al. Fluid Flow to Electricity: Capturing Flow-Induced Vibrations with Micro-Electromechanical-System-Based Piezoelectric Energy Harvester. <i>Micromachines</i> 2024, <i>15</i>, 581.

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Updated: May 28, 2026

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

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Published on: June 28, 2024

Additively Manufactured Density-Graded Dual-Material Auxetic Structures: Enhanced Energy Absorption and Shape

Mohammad Faisal Ahmed1, Kyle Primes1

  • 1Department of Industrial and Engineering Technology, Southeastern Louisiana University, 801 N. Oak Street, Hammond, LA 70402, USA.

Micromachines
|May 27, 2026
PubMed
Summary

Dual-material auxetic structures with density gradients offer enhanced energy absorption and stiffness. This novel design overcomes limitations of single-material auxetics, paving the way for advanced reusable energy-absorbing components.

Keywords:
auxeticdensity gradientdual-materialenergy absorptionin-plane compressionnegative Poisson’s ratio

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Additive Manufacturing

Background:

  • Auxetic structures with negative Poisson's ratio (NPR) are widely studied but face application limitations due to single-material constraints.
  • Reentrant auxetic structures offer geometric simplicity but require advanced fabrication for improved performance.

Purpose of the Study:

  • To address limitations of single-material auxetic structures by proposing novel dual-material designs.
  • To investigate the impact of density gradient strategy and dual-material extrusion on auxetic structure performance.

Main Methods:

  • Fabrication of two density gradient reentrant auxetic structures using material extrusion additive manufacturing.
  • Utilizing both single-material (flexible) and dual-material (rigid/flexible) extrusion modes with a novel interface design.
  • Conducting in-plane compression tests to evaluate energy absorption characteristics.

Main Results:

  • Dual-material structures demonstrated significantly higher yield stress, mean crushing force, peak crushing force, and maximum crushing force compared to single-material counterparts.
  • Superior specific energy, energy dissipation, and energy release were observed in dual-material designs.
  • High lateral stiffness and minimized elastic instability were achieved, crucial for reusable energy-absorbing applications.

Conclusions:

  • The synergy between dual-material composition and density gradient design is critical for enhancing auxetic structure performance.
  • The proposed structures offer a promising pathway for developing lightweight, reusable, and high-performance energy-absorbing components.
  • Findings provide a valuable reference for future designs in advanced energy absorption systems.