Optimal Design of Variable-Stiffness Fiber-Reinforced Composites
The concept of variable-stiffness composites allows the stiffness properties to vary spatially in the material. In the case of fiber-reinforced composites, the mechanical properties of the composite can be improved by tailoring the fiber orientations in a spatially optimal manner. In this paper, the...
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MDPI AG
2025-06-01
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| author | Evangelos P. Hadjigeorgiou Christos A. Patsouras Vassilios K. Kalpakides |
| author_facet | Evangelos P. Hadjigeorgiou Christos A. Patsouras Vassilios K. Kalpakides |
| author_sort | Evangelos P. Hadjigeorgiou |
| collection | DOAJ |
| description | The concept of variable-stiffness composites allows the stiffness properties to vary spatially in the material. In the case of fiber-reinforced composites, the mechanical properties of the composite can be improved by tailoring the fiber orientations in a spatially optimal manner. In this paper, the problem of optimal spatial orientation of fibers in a two-dimensional composite structure under in-plane loading is studied, using the strain energy-minimizing method. The fiber orientation is assumed to be constant within each element of the model but varies from element to element. The optimal design problem is solved numerically using a global optimization method based on a genetic algorithm. Some numerical examples illustrate the efficiency and applicability of the method. |
| format | Article |
| id | doaj-art-0f034f81246f4d368eea9ca65ec94e0b |
| institution | Matheson Library |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-0f034f81246f4d368eea9ca65ec94e0b2025-06-25T14:08:36ZengMDPI AGMathematics2227-73902025-06-011312190910.3390/math13121909Optimal Design of Variable-Stiffness Fiber-Reinforced CompositesEvangelos P. Hadjigeorgiou0Christos A. Patsouras1Vassilios K. Kalpakides2Department of Materials Science and Engineering, University of Ioannina, 45 110 Ioannina, GreeceDepartment of Materials Science and Engineering, University of Ioannina, 45 110 Ioannina, GreeceSchool of Applied Mathematics and Physics, National Technical University of Athens, 157 80 Zografou, GreeceThe concept of variable-stiffness composites allows the stiffness properties to vary spatially in the material. In the case of fiber-reinforced composites, the mechanical properties of the composite can be improved by tailoring the fiber orientations in a spatially optimal manner. In this paper, the problem of optimal spatial orientation of fibers in a two-dimensional composite structure under in-plane loading is studied, using the strain energy-minimizing method. The fiber orientation is assumed to be constant within each element of the model but varies from element to element. The optimal design problem is solved numerically using a global optimization method based on a genetic algorithm. Some numerical examples illustrate the efficiency and applicability of the method.https://www.mdpi.com/2227-7390/13/12/1909fiber-reinforced compositesvariable-stiffness compositescurvilinear fiber compositesoptimal designstructural optimizationFEM |
| spellingShingle | Evangelos P. Hadjigeorgiou Christos A. Patsouras Vassilios K. Kalpakides Optimal Design of Variable-Stiffness Fiber-Reinforced Composites Mathematics fiber-reinforced composites variable-stiffness composites curvilinear fiber composites optimal design structural optimization FEM |
| title | Optimal Design of Variable-Stiffness Fiber-Reinforced Composites |
| title_full | Optimal Design of Variable-Stiffness Fiber-Reinforced Composites |
| title_fullStr | Optimal Design of Variable-Stiffness Fiber-Reinforced Composites |
| title_full_unstemmed | Optimal Design of Variable-Stiffness Fiber-Reinforced Composites |
| title_short | Optimal Design of Variable-Stiffness Fiber-Reinforced Composites |
| title_sort | optimal design of variable stiffness fiber reinforced composites |
| topic | fiber-reinforced composites variable-stiffness composites curvilinear fiber composites optimal design structural optimization FEM |
| url | https://www.mdpi.com/2227-7390/13/12/1909 |
| work_keys_str_mv | AT evangelosphadjigeorgiou optimaldesignofvariablestiffnessfiberreinforcedcomposites AT christosapatsouras optimaldesignofvariablestiffnessfiberreinforcedcomposites AT vassilioskkalpakides optimaldesignofvariablestiffnessfiberreinforcedcomposites |