Electromagnetic modeling of damaged fiber-reinforced laminates

JOURNAL OF COMPUTATIONAL PHYSICS

卷:409

Article

Liu, Zicheng^1,2  Li, Changyou³  Zhong, Yu⁴  Lesselier, Dominique¹ 

[1] Univ Paris Saclay, Lab Signaux & Syst, CNRS, Cent Supelec, F-91190 Gif Sur Yvette, France

[2] UiT Arctic Univ Norway, Dept Phys & Technol, Klokkargardsbakken 35, N-9019 Tromso, Norway

[3] Northwestern Polytech Univ, Dept Elect Engn, Xian 710129, Peoples R China

[4] ASTAR, Inst High Performance Comp, Singapore 138632, Singapore

关键词: Nondestructive testing;    Fibered laminates;    Multipole method;    Array scanning method;    Green's function;    Equivalence theory;   

DOI  :  10.1016/j.jcp.2020.109318

来源: Elsevier

【 摘 要 】

As a prerequisite to nondestructive testing of damaged fibered laminates, the Green's function, corresponding with an undamaged structure, and the electromagnetic fields associated with the damaged one are investigated herein. For the undamaged fibered laminate, benefiting from the periodicity of the fibers within each layer, the field solution follows the scattering-matrix-based method using the Floquet theorem. Yet, the periodicity is destroyed by the analytical source (for the Green's function) or by damages, and the Floquet theorem cannot be directly applied to compute the associated scattering matrices. The array scanning method is introduced to that effect. Inserting fictitious sources to get a quasi-periodic source array, the modeling approach for undamaged laminates can be used to compute the field with the source array, the integration of which cancels the effects of the fictitious sources and yields the Green's function. With the multipole method, field disturbances by damages, which include missing, displaced, shrunk, and expanded fibers and circular inclusions inside fibers, are accurately modeled by setting equivalent sources inside sound fibers, and the array scanning method applies. Modeling accuracy and efficiency of the approaches are illustrated by numerical simulations. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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