Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading
The aim of the study is to determine the optimal geometry and magnitude of the applied load to ensure safety and prevent delamination in a three-layered nanocomposite structure under axial mechanical loading. The structure consists of a layer of the nanomaterial tungsten disulfide (WS2) and a subst...
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| Format: | Article |
| Language: | English |
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Czech Technical University in Prague
2024-12-01
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| Series: | Acta Polytechnica CTU Proceedings |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/APP/article/view/10354 |
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| author | Elisaveta Kirilova Tatyana Petrova Boyan Boaydjiev Rayka Vladova Apostol Apostolov Petia Dineva-Vladikova Alexander Moravski |
| author_facet | Elisaveta Kirilova Tatyana Petrova Boyan Boaydjiev Rayka Vladova Apostol Apostolov Petia Dineva-Vladikova Alexander Moravski |
| author_sort | Elisaveta Kirilova |
| collection | DOAJ |
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The aim of the study is to determine the optimal geometry and magnitude of the applied load to ensure safety and prevent delamination in a three-layered nanocomposite structure under axial mechanical loading. The structure consists of a layer of the nanomaterial tungsten disulfide (WS2) and a substrate layer of poly(methyl methacrylate) (PMMA), which are adhesively bonded using SU-8 glue. To achieve this aim, a multi-parameter optimization problem (MOP) is formulated. It includes a two-dimensional stress function model that describes stress transfer in the considered three-layer structure. Two types of analytical solutions for the interface shear stress (ISS) are derived, featuring real and complex roots. The decision variables in MOP include the external load, layer thicknesses, and structure length. The optimization criterion is defined as the minimization of the difference between the model ISS and ultimate shear stress (USS) in the adhesive layer to assure no delamination occurs in the nanocomposite structure. A genetic algorithm and alternative optimization approach developed within the framework of “Mathematica” are implemented for the optimization of both model solutions. As a result, optimal values for the given external load, layer thicknesses, and structure length are obtained for considered nanostructure. For the case of an ISS model solution with real roots, the optimization procedures ensure optimal geometries that physically correspond to thinner structural layers, but they are limited at lower possible loads. In contrast, for the case of a model solution for the ISS with complex roots, solutions for the optimal geometries of the nanostructures were obtained with thicker layers requiring higher loads, than thinner ones, but delamination does not occur.
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| format | Article |
| id | doaj-art-09fa85fb13ad4a2f8556470626f35d66 |
| institution | DOAJ |
| issn | 2336-5382 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Czech Technical University in Prague |
| record_format | Article |
| series | Acta Polytechnica CTU Proceedings |
| spelling | doaj-art-09fa85fb13ad4a2f8556470626f35d662025-08-20T03:16:02ZengCzech Technical University in PragueActa Polytechnica CTU Proceedings2336-53822024-12-015010.14311/APP.2024.50.0007Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loadingElisaveta Kirilova0Tatyana Petrova1Boyan Boaydjiev2Rayka Vladova3Apostol Apostolov4Petia Dineva-Vladikova5Alexander Moravski6Bulgarian Academy of Sciences, Institute of Chemical Engineering, Acad. G. Bonchev str., Bl.103, Sofia 1113, BulgariaBulgarian Academy of Sciences, Institute of Chemical Engineering, Acad. G. Bonchev str., Bl.103, Sofia 1113, BulgariaBulgarian Academy of Sciences, Institute of Chemical Engineering, Acad. G. Bonchev str., Bl.103, Sofia 1113, BulgariaBulgarian Academy of Sciences, Institute of Chemical Engineering, Acad. G. Bonchev str., Bl.103, Sofia 1113, BulgariaBulgarian Academy of Sciences, Institute of Chemical Engineering, Acad. G. Bonchev str., Bl.103, Sofia 1113, BulgariaBulgarian Academy of Sciences, Institute of Mechanics, Acad. G. Bonchev str., Bl.4, Sofia 1113, BulgariaSofia University “St. Kliment Ohridski”, Faculty of Mathematics and Informatics, 5 James Bourchier Blvd, Sofia 1164, Bulgaria The aim of the study is to determine the optimal geometry and magnitude of the applied load to ensure safety and prevent delamination in a three-layered nanocomposite structure under axial mechanical loading. The structure consists of a layer of the nanomaterial tungsten disulfide (WS2) and a substrate layer of poly(methyl methacrylate) (PMMA), which are adhesively bonded using SU-8 glue. To achieve this aim, a multi-parameter optimization problem (MOP) is formulated. It includes a two-dimensional stress function model that describes stress transfer in the considered three-layer structure. Two types of analytical solutions for the interface shear stress (ISS) are derived, featuring real and complex roots. The decision variables in MOP include the external load, layer thicknesses, and structure length. The optimization criterion is defined as the minimization of the difference between the model ISS and ultimate shear stress (USS) in the adhesive layer to assure no delamination occurs in the nanocomposite structure. A genetic algorithm and alternative optimization approach developed within the framework of “Mathematica” are implemented for the optimization of both model solutions. As a result, optimal values for the given external load, layer thicknesses, and structure length are obtained for considered nanostructure. For the case of an ISS model solution with real roots, the optimization procedures ensure optimal geometries that physically correspond to thinner structural layers, but they are limited at lower possible loads. In contrast, for the case of a model solution for the ISS with complex roots, solutions for the optimal geometries of the nanostructures were obtained with thicker layers requiring higher loads, than thinner ones, but delamination does not occur. https://ojs.cvut.cz/ojs/index.php/APP/article/view/103542D stress function modelinterface shear stressgenetic algorithmmulti-parameter optimization problemgeometry parametersexternal load |
| spellingShingle | Elisaveta Kirilova Tatyana Petrova Boyan Boaydjiev Rayka Vladova Apostol Apostolov Petia Dineva-Vladikova Alexander Moravski Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading Acta Polytechnica CTU Proceedings 2D stress function model interface shear stress genetic algorithm multi-parameter optimization problem geometry parameters external load |
| title | Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading |
| title_full | Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading |
| title_fullStr | Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading |
| title_full_unstemmed | Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading |
| title_short | Multi-parameter optimization of layered WS2-polymer nanocomposite under mechanical loading |
| title_sort | multi parameter optimization of layered ws2 polymer nanocomposite under mechanical loading |
| topic | 2D stress function model interface shear stress genetic algorithm multi-parameter optimization problem geometry parameters external load |
| url | https://ojs.cvut.cz/ojs/index.php/APP/article/view/10354 |
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