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Updated: Aug 13, 2025

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
Published on: June 28, 2024
Predicting the Bending of 3D Printed Hyperelastic Polymer Components.
Lucas Gallup1, Mohamed Trabia1, Brendan O'Toole1
1Department of Mechanical Engineering, University of Nevada, Las Vegas, NV 89154, USA.
This study investigated the mechanical properties of 3D printed NinjaFlex® (thermoplastic polyurethane) components. Both modified Euler-Bernoulli Beam Theorem and finite element analysis accurately predicted component behavior under bending stress.
Area of Science:
- Materials Science
- Mechanical Engineering
- Additive Manufacturing
Background:
- 3D printing is widely used, with NinjaFlex® (thermoplastic polyurethane) being a popular flexible filament.
- The mechanical properties of 3D printed NinjaFlex® parts, particularly under bending, are not well-understood.
- Accurate prediction of flexible 3D printed part behavior is crucial for design and application.
Purpose of the Study:
- To predict the bending behavior of small 3D printed NinjaFlex® components.
- To compare experimental results with theoretical models and computational analysis.
- To assess the accuracy of the modified Euler-Bernoulli Beam Theorem (MEB) and finite element analysis (FEA) for flexible TPU parts.
Main Methods:
- 3D printing of rectangular NinjaFlex® specimens with varying dimensions.
- Loading specimens as cantilevers and measuring deflection using a computer.
- Comparing experimental deflection data with predictions from the modified Euler-Bernoulli Beam Theorem (MEB) and finite element analysis (FEA).
Main Results:
- Both MEB and FEA models demonstrated high accuracy in predicting the deflection of 3D printed NinjaFlex® specimens.
- Average differences between experimental data and MEB predictions ranged from 0.6% to 3.0%.
- Average differences between experimental data and FEA predictions ranged from 0.4% to 2.4%, with FEA showing higher retraction for highly flexible parts.
Conclusions:
- The modified Euler-Bernoulli Beam Theorem and finite element analysis are effective tools for predicting the mechanical behavior of 3D printed NinjaFlex® components.
- MEB slightly underestimated results for the most flexible specimens, while FEA generally provided accurate predictions.
- These findings support the use of computational and theoretical models in designing with flexible 3D printing materials.
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