Orthogonal polynomial methods for modeling elastodynamic wave propagation in elastic, piezoelectric and magneto-electro-elastic composites—A review. (15th April 2022)

• Record Type: Journal Article
• Authors: Othmani, Cherif; Zhang, He; Lü, Chaofeng; Qing Wang, Yan; Reza Kamali, Ali
• Is Part Of: Composite structures. Volume 286(2022)
• Publication Date: 2022-04-15
• Subjects: Orthogonal polynomial methods -- Elastic composites -- Magneto-electro-elastic composites -- Elastodynamic waves; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2022.115245
• Languages: English
• ISSNs: 0263-8223

Abstract

Highlights: Review and critical analysis of the orthogonal polynomial methods for modeling elastodynamic wave propagation in composites. Emphasis on the mathematical links between the conventional and improved versions of polynomial methods. Critical numerical comparison between the exact solution and polynomial expansion solution. Abstract: The growing usage of elastic, piezoelectric and magneto-electro-elastic composites has motivated the scientific and industrial communities to develop new numerical methods, which can provide alternative ways of predicting the dynamic responses. Such numerical methods are considered as important tools for the modeling and design of the reliable structural health monitoring. Among them, orthogonal polynomial expansions are best suited to predicting acoustic wave dispersion curves in composites. Despite their simplicity and computational efficiency, polynomial methods can only provide satisfactory outcomes with multilayered structures in which the properties of successive layers do not change significantly. As such, a sufficiently great deal of dissimilarity across the constituent plates give rise to significant field level discontinuities at interfaces, which affect their effectiveness. By considering this critical point, the review of the research progress in the field is of importance, in order to understand the relationship between the composites type and the effectiveness of polynomial methods. This review article deals with this issue in detail. Moreover, a numerical comparison is made between the conventional and improved version of this method, where the outcome is critically discussed. This review article outlines the recent advances, challenges, and prospects of polynomial approaches, providing new insights for future studies.