Bio-Inspired 3D-Printed Polymeric Sheets for Orthoses: Predictive Modeling of Mechanical Integrity and Moisture Absorption
Abstract
1. Introduction
2. Materials and Methods
2.1. Experimental Materials and Methods
2.1.1. Material Selection and Biomimetic Relevance
2.1.2. Specimen Manufacturing
2.1.3. Experimental Setup
2.1.4. Experimental Design and Statistical Optimization
3. Results
3.1. Model Statistical Testing
3.2. Comparative Analyses for Hardness and Moisture Variation
3.3. Box–Behnken Surface Analyses
4. Discussion
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| (a) Independent variables | |||
| Variable | Nomenclature | Units | Variation range |
| Specimen width | [Width] | mm | 2–6 |
| Sodium chloride percentage | [NaCl] | % | 0.1–5 |
| Time | [t] | days | 1–6 |
| (b) Dimensionless, coded independent variables | |||
| Variable | Nomenclature | Definition | Variation range |
| Dimensionless specimen width | x1 | ([Width] − 4)/2 | (−1, 1) |
| Dimensionless sodium chloride percentage | x2 | ([NaCl] − 2.5)/2.4 | (−1, 1) |
| Dimensionless time | x3 | ([t] − 3.5)/2.5 | (−1, 1) |
| (c) Dependent variables | |||
| Variable | Nomenclature | Units | |
| Blue PLA hardness | y1 | Shore A units | |
| Blue PLA moisture content | y2 | % | |
| White PLA hardness | y3 | Shore A units | |
| White PLA moisture content | y4 | % | |
| Eco-Resin hardness | y5 | Shore A units | |
| Eco-Resin moisture content | y6 | % | |
| Standard resin hardness | y7 | Shore A units | |
| Standard resin moisture content | y8 | % | |
| Independent Variables | Dependent Variables | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Blue PLA | White PLA | Eco-Resin | Standard Resin | ||||||||
| Exp. | x1 | x2 | x3 | y1 | y2 | y3 | y4 | y5 | y6 | y7 | y8 |
| 1 | 0 | −1 | −1 | 462 | 0.303 | 362 | 0.301 | 319 | 0.101 | 321 | 0.321 |
| 2 | 0 | 1 | −1 | 531 | 0.5 | 206 | 0.302 | 311 | 0.102 | 384 | 0.432 |
| 3 | 0 | −1 | 1 | 460 | 0.224 | 366 | 0.01 | 341 | 0.002 | 456 | 0.251 |
| 4 | 0 | 1 | 1 | 495 | 0.222 | 370 | 0.101 | 303 | 0.101 | 450 | 0.001 |
| 5 | −1 | −1 | 0 | 298 | 2.6 | 488 | 0.201 | 263 | 0.003 | 430 | 0.421 |
| 6 | −1 | 1 | 0 | 317 | 0.501 | 405 | 0.125 | 229 | 0.004 | 445 | 0.301 |
| 7 | 1 | −1 | 0 | 292 | 0.321 | 288 | 0.101 | 325 | 0.203 | 348 | 0.402 |
| 8 | 1 | 1 | 0 | 325 | 0.201 | 265 | 0.102 | 289 | 0.701 | 440 | 0.001 |
| 9 | −1 | 0 | −1 | 462 | 0.203 | 376 | 0.25 | 260 | 0.103 | 465 | 0.21 |
| 10 | −1 | 0 | 1 | 466 | 0.303 | 385 | 0.103 | 212 | 0.101 | 388 | 0.201 |
| 11 | 1 | 0 | −1 | 363 | 0.605 | 226 | 0.4 | 263 | 0.105 | 192 | 0.42 |
| 12 | 1 | 0 | 1 | 330 | 0.105 | 292 | 0.102 | 225 | 0.204 | 357 | 0.301 |
| 13 | 0 | 0 | 0 | 476 | 0.101 | 418 | 0.001 | 279 | 0.701 | 454 | 0.201 |
| 14 | 0 | 0 | 0 | 417 | 0.102 | 416 | 0.002 | 275 | 0.702 | 484 | 0.202 |
| 15 | 0 | 0 | 0 | 404 | 0.103 | 414 | 0.003 | 274 | 0.705 | 474 | 0.203 |
| Material | Variable | R2 (%) | Adjusted-R2 (%) | Standard Error | Durbin–Watson |
|---|---|---|---|---|---|
| Blue PLA | Hardness | 88.29 | 67.23 | 45.42 | 1.90 |
| Moisture | 68.64 | 12.20 | 0.58 | 1.56 | |
| White PLA | Hardness | 97.13 | 91.98 | 22.49 | 2.53 |
| Moisture | 94.01 | 83.22 | 0.051 | 1.34 | |
| Eco-Resin | Hardness | 86.34 | 61.75 | 23.41 | 0.12 |
| Moisture | 86.34 | 61.75 | 23.41 | 1.66 | |
| Standard resin | Hardness | 88.29 | 67.23 | 45.42 | 1.90 |
| Moisture | 68.64 | 12.20 | 0.58 | 1.56 |
| Source | Sum of Squares | df | Mean Square | F-Ratio | p-Value | ||
|---|---|---|---|---|---|---|---|
| Hardness | Blue PLA | AA | 39,203.40 | 1 | 39,204.40 | 19.01 | 0.0073 |
| CC | 21,303.40 | 1 | 21,303.40 | 10.33 | 0.0236 | ||
| White PLA | A | 42,486.1 | 1 | 42,486.1 | 83.97 | 0.0003 | |
| B | 8320.5 | 1 | 8320.5 | 16.45 | 0.0098 | ||
| C | 7381.13 | 1 | 7381.13 | 14.59 | 0.0124 | ||
| AA | 3406.67 | 1 | 3406.67 | 6.73 | 0.0486 | ||
| BC | 6400.0 | 1 | 6400.0 | 12.65 | 0.0163 | ||
| CC | 16,022.8 | 1 | 16,022.8 | 31.67 | 0.0025 | ||
| Standard resin | A | 19,110.1 | 1 | 19,110.1 | 11.57 | 0.0192 | |
| AC | 14,641.0 | 1 | 14,641.0 | 8.86 | 0.0309 | ||
| CC | 16,369.3 | 1 | 16,369.1 | 9.91 | 0.0254 | ||
| Eco-Resin | AA | 5616.0 | 1 | 5616.0 | 10.25 | 0.0240 | |
| BB | 5760.92 | 1 | 5760.92 | 10.51 | 0.0229 | ||
| Moisture | Blue PLA | -- | -- | -- | -- | -- | -- |
| White PLA | C | 0.109746 | 1 | 0.109746 | 42.17 | 0.0013 | |
| AA | 0.02528 | 1 | 0.02528 | 9.72 | 0.0263 | ||
| CC | 0.0614 | 1 | 0.0614 | 23.61 | 0.0046 | ||
| Standard resin | -- | -- | -- | -- | -- | -- | |
| Eco-Resin | -- | -- | -- | -- | -- | -- |
| Maximize Hardness | Minimize Moisture Absorption | |||||||
|---|---|---|---|---|---|---|---|---|
| Coded | PLAB | PLAW | Std-Resin | Eco-Resin | PLAB | PLAW | Std-Resin | Eco-Resin |
| Width | −0.0853 | −1.0 | −0.264 | 0.199 | 0.531 | 0.109 | 0.891 | −1.0 |
| NaCl | 0.651 | −0.999 | 0.999 | −1.0 | 0.0492 | −0.159 | 1.0 | −1.0 |
| Time | −1.0 | −0.181 | 0.0221 | −0.999 | 1.0 | 0.484 | 0.999 | 0.999 |
| Uncoded | PLAB | PLAW | Std-Resin | Eco-Resin | PLAB | PLAW | Std-Resin | Eco-Resin |
| Width (mm) | 3.83 | 2.00 | 3.47 | 4.40 | 5.06 | 4.22 | 5.78 | 2.00 |
| NaCl (%) | 4.14 | 0.10 | 5.00 | 0.10 | 2.67 | 2.16 | 5.00 | 0.10 |
| Time (days) | 1.00 | 3.05 | 3.56 | 1.00 | 6.00 | 4.71 | 6.00 | 6.00 |
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Devesa-Rey, R.; Arce, E.; Losada-Pérez, S.; Álvarez-Feijoo, M.Á.; Leirós-Rodríguez, R. Bio-Inspired 3D-Printed Polymeric Sheets for Orthoses: Predictive Modeling of Mechanical Integrity and Moisture Absorption. Biomimetics 2026, 11, 417. https://doi.org/10.3390/biomimetics11060417
Devesa-Rey R, Arce E, Losada-Pérez S, Álvarez-Feijoo MÁ, Leirós-Rodríguez R. Bio-Inspired 3D-Printed Polymeric Sheets for Orthoses: Predictive Modeling of Mechanical Integrity and Moisture Absorption. Biomimetics. 2026; 11(6):417. https://doi.org/10.3390/biomimetics11060417
Chicago/Turabian StyleDevesa-Rey, Rosa, Elena Arce, Silvia Losada-Pérez, Miguel Ángel Álvarez-Feijoo, and Raquel Leirós-Rodríguez. 2026. "Bio-Inspired 3D-Printed Polymeric Sheets for Orthoses: Predictive Modeling of Mechanical Integrity and Moisture Absorption" Biomimetics 11, no. 6: 417. https://doi.org/10.3390/biomimetics11060417
APA StyleDevesa-Rey, R., Arce, E., Losada-Pérez, S., Álvarez-Feijoo, M. Á., & Leirós-Rodríguez, R. (2026). Bio-Inspired 3D-Printed Polymeric Sheets for Orthoses: Predictive Modeling of Mechanical Integrity and Moisture Absorption. Biomimetics, 11(6), 417. https://doi.org/10.3390/biomimetics11060417

