Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization
Mechanical characterization of soft materials is a complicated inverse problem that includes nonlinear constitutive behavior and large deformations. A further complication is introduced by the structural inhomogeneity of tested specimens (for example, caused by thickness variations). Optical methods...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/13/7758 |
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| author | Antonio Boccaccio Luciano Lamberti Lorenzo Santoro Bartolomeo Trentadue |
| author_facet | Antonio Boccaccio Luciano Lamberti Lorenzo Santoro Bartolomeo Trentadue |
| author_sort | Antonio Boccaccio |
| collection | DOAJ |
| description | Mechanical characterization of soft materials is a complicated inverse problem that includes nonlinear constitutive behavior and large deformations. A further complication is introduced by the structural inhomogeneity of tested specimens (for example, caused by thickness variations). Optical methods are very useful in mechanical characterization of soft matter, as they provide accurate full-field information on displacements, strains and stresses regardless of the magnitude and/or gradients of those quantities. In view of this, the present study describes a novel hybrid framework for mechanical characterization of soft membranes, combining (i) inflation tests and preliminary in-plane equi-biaxial tests, (ii) a one-shot projection moiré optical setup with two symmetric projectors that project cross-gratings onto the inflated membrane, (iii) a mathematical model to extract 3D displacement information from moiré measurements, and (iv) metaheuristic optimization hybridizing harmony search and JAYA algorithms. The use of cross-gratings allows us to determine the surface curvature and precisely reconstruct the shape of the deformed object. Enriching metaheuristic optimization with gradient information and elitist strategies significantly reduces the computational cost of the identification process. The feasibility of the proposed approach wassuccessfully tested on a 100 mm diameter natural rubber membrane that had some degree of anisotropy in mechanical response because of its inhomogeneous thickness distribution. Remarkably, up to 324 hyperelastic constants and thickness parameters can be precisely identified by the proposed framework, reducing computational effort from 15% to 70% with respect to other inverse methods. |
| first_indexed | 2024-03-11T01:46:43Z |
| format | Article |
| id | doaj.art-0a90fa7793234dad8d4774068e021309 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T01:46:43Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-0a90fa7793234dad8d4774068e0213092023-11-18T16:10:58ZengMDPI AGApplied Sciences2076-34172023-06-011313775810.3390/app13137758Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic OptimizationAntonio Boccaccio0Luciano Lamberti1Lorenzo Santoro2Bartolomeo Trentadue3Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Viale Orabona 4, 70125 Bari, ItalyDipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Viale Orabona 4, 70125 Bari, ItalyDipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Viale Orabona 4, 70125 Bari, ItalyDipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Viale Orabona 4, 70125 Bari, ItalyMechanical characterization of soft materials is a complicated inverse problem that includes nonlinear constitutive behavior and large deformations. A further complication is introduced by the structural inhomogeneity of tested specimens (for example, caused by thickness variations). Optical methods are very useful in mechanical characterization of soft matter, as they provide accurate full-field information on displacements, strains and stresses regardless of the magnitude and/or gradients of those quantities. In view of this, the present study describes a novel hybrid framework for mechanical characterization of soft membranes, combining (i) inflation tests and preliminary in-plane equi-biaxial tests, (ii) a one-shot projection moiré optical setup with two symmetric projectors that project cross-gratings onto the inflated membrane, (iii) a mathematical model to extract 3D displacement information from moiré measurements, and (iv) metaheuristic optimization hybridizing harmony search and JAYA algorithms. The use of cross-gratings allows us to determine the surface curvature and precisely reconstruct the shape of the deformed object. Enriching metaheuristic optimization with gradient information and elitist strategies significantly reduces the computational cost of the identification process. The feasibility of the proposed approach wassuccessfully tested on a 100 mm diameter natural rubber membrane that had some degree of anisotropy in mechanical response because of its inhomogeneous thickness distribution. Remarkably, up to 324 hyperelastic constants and thickness parameters can be precisely identified by the proposed framework, reducing computational effort from 15% to 70% with respect to other inverse methods.https://www.mdpi.com/2076-3417/13/13/7758materials characterizationprojection moirémetaheuristic optimizationsoft matter |
| spellingShingle | Antonio Boccaccio Luciano Lamberti Lorenzo Santoro Bartolomeo Trentadue Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization Applied Sciences materials characterization projection moiré metaheuristic optimization soft matter |
| title | Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization |
| title_full | Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization |
| title_fullStr | Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization |
| title_full_unstemmed | Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization |
| title_short | Mechanical Characterization of Soft Membranes with One-Shot Projection Moiré and Metaheuristic Optimization |
| title_sort | mechanical characterization of soft membranes with one shot projection moire and metaheuristic optimization |
| topic | materials characterization projection moiré metaheuristic optimization soft matter |
| url | https://www.mdpi.com/2076-3417/13/13/7758 |
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