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Optimal Design of Variable-Stiffness Fiber-Reinforced Composites

Author

Listed:
  • Evangelos P. Hadjigeorgiou

    (Department of Materials Science and Engineering, University of Ioannina, 45 110 Ioannina, Greece)

  • Christos A. Patsouras

    (Department of Materials Science and Engineering, University of Ioannina, 45 110 Ioannina, Greece)

  • Vassilios K. Kalpakides

    (School of Applied Mathematics and Physics, National Technical University of Athens, 157 80 Zografou, Greece)

Abstract

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.

Suggested Citation

  • Evangelos P. Hadjigeorgiou & Christos A. Patsouras & Vassilios K. Kalpakides, 2025. "Optimal Design of Variable-Stiffness Fiber-Reinforced Composites," Mathematics, MDPI, vol. 13(12), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:12:p:1909-:d:1674059
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