Electromagnetic modeling of periodically-structured fiber-reinforced single-layer laminate with multiple fibers missing

Modeling of periodically-structured, fiber-reinforced laminates with fibers missing is investigated, this applying as well to similarly disorganized photonic crystals at optical frequencies. Parallel cylindrical fibers are periodically embedded within a layer sandwiched between two half-spaces. Abse...

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Bibliographic Details
Published in:Applied physics. A, Materials science & processing Materials science & processing, 2016-12, Vol.122 (12), p.1-6, Article 993
Main Authors: Liu, Z.-C., Li, C.-Y., Lesselier, D., Zhong, Y.
Format: Article
Language:English
Subjects:
Advanced Metamaterials and Nanophotonics
Applied physics
Characterization and Evaluation of Materials
Computation
Computer simulation
Condensed Matter Physics
Damage localization
Electromagnetism
Engineering Sciences
Fiber reinforced materials
Fibers
Finite element method
Floquet theorem
Half spaces
Laminates
Machines
Manufacturing
Materials science
Mathematical models
Mathematical Physics
Mathematics
Modelling
Nanotechnology
Optical and Electronic Materials
Optical fibers
Optics
Photonic
Photonic crystals
Physics
Physics and Astronomy
Processes
Signal and Image processing
Surfaces and Interfaces
Thin Films
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Summary:Modeling of periodically-structured, fiber-reinforced laminates with fibers missing is investigated, this applying as well to similarly disorganized photonic crystals at optical frequencies. Parallel cylindrical fibers are periodically embedded within a layer sandwiched between two half-spaces. Absent fibers destroy the periodicity. The supercell concept involving an auxiliary periodic structure provides subsidiary solutions, wherein plane-wave illumination can be analyzed with the help of the Floquet theorem, while the field response due to a line source can be calculated from the pertinent plane-wave expansion. Accuracy, computational efficacy and versatility of the above approaches are illustrated by comprehensive numerical simulations with in particular comparisons to results provided by a finite-element code, all-purpose but computationally demanding, this work seen as the first step to the localization of missing fibers in a damaged laminate and imaging thereof.
ISSN:0947-8396
1432-0630
DOI:10.1007/s00339-016-0524-7