Computing the interaction between ultrasonic waves and non-homogeneous adhesion interfaces in layered plates

Abstract eng:
It is known that the global strength of multi-layered composite structures strongly depends on the quality of the adhesion between its constituent elements. Imperfections along adhesion interfaces can effectively compromise structure’s performance. The characterization of such defects is a very difficult task and the development of a reliable nondestructive evaluation is still an open task. In that sense, the main goal of this study is the development of an analytic-numerical method to compute the acoustic field resulting from the interaction of ultrasonic waves and imperfect interfaces, helping in selection of parameters for ultra-sonic inspecting methods. Such a problem presents several modeling challenges: capturing the disparate length scales in the problem, developing a technique which is both numerically stable and efficient at high frequencies and modeling the adhesive layer itself. The broad range of physical dimensions makes the problem ill-suited to standard domain discretization computational modeling procedures. Here, the adhesion interfaces are modeled by appropriated boundary conditions corresponding to the Quasi-Static Approximation. (QSA) [1], which represents interfaces by equivalent distributions of normal and transversal springs. Local defects are represented by local changes in the spring constants. Two solution methods are presented.

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