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用于模拟层合板中部分闭合界面分层引起的导波散射的有效边界条件和随机裂纹分布

Effective Boundary Conditions and Stochastic Crack Distribution for Modelling Guided Waves Scattering by a Partially Closed Interfacial Delamination in a Laminate.

作者信息

Golub Mikhail V, Doroshenko Olga V, Gu Yan

机构信息

Institute for Mathematics, Mechanics and Informatics, Kuban State University, Krasnodar 350040, Russia.

School of Mathematics and Statistics, Qingdao University, 308 Ning Xia Lu, Laoshan District, Qingdao 266071, China.

出版信息

Materials (Basel). 2023 Mar 17;16(6):2415. doi: 10.3390/ma16062415.

DOI:10.3390/ma16062415
PMID:36984294
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10051660/
Abstract

Cohesive and adhesive bindings degrade during operation and maintenance even if contacting materials in a manufactured laminated structure are perfectly matched at the interfaces. Two modelling approaches for describing partially closed delaminations or imperfect contact zones, which often occurs at the interfaces, are examined and considered. To confirm the adequateness of the applicability of the effective spring boundary conditions for guided wave scattering by a finite length delamination, guided wave propagation through a damaged zone with a distribution of micro-cracks is compared with an equivalent cohesive zone model, where the spring stiffnesses for the effective boundary conditions are calculated using the properties of the considered crack distribution. Two kinds of local interfacial decohesion zones with an imperfect contact at the interfaces are considered: uniform partially closed delaminations and bridged cracks. The possibility of the employment of the effective spring boundary conditions to substitute a distribution of micro-cracks is analysed and discussed. Two algorithms of generation of a distribution of open micro-cracks providing characteristics equivalent to the effective boundary conditions are presented and examined. The influence of the characteristics of a delamination on wave characteristics (eigenfrequencies, eigenforms, transmission coefficient) is investigated for several kinds of partially closed delaminations.

摘要

即使制造的层压结构中的接触材料在界面处完美匹配，内聚和粘附结合在操作和维护过程中也会退化。研究并考虑了两种用于描述部分闭合分层或不完美接触区域（这种情况经常出现在界面处）的建模方法。为了确认有效弹簧边界条件对有限长度分层引起的导波散射适用性的充分性，将通过具有微裂纹分布的损伤区域的导波传播与等效内聚区模型进行比较，其中有效边界条件的弹簧刚度是根据所考虑的裂纹分布特性计算得出的。考虑了两种在界面处具有不完美接触的局部界面脱粘区域：均匀部分闭合分层和桥接裂纹。分析并讨论了采用有效弹簧边界条件替代微裂纹分布的可能性。提出并研究了两种生成开放微裂纹分布的算法，其提供的特性与有效边界条件等效。针对几种部分闭合分层，研究了分层特性对波特性（本征频率、本征形式、传输系数）的影响。

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