Proposing a Modeling Algorithm of Acoustic Waves Penetrating through a Medium with Composite Hierarchical Inclusions

Objective: The stability of new materials with a multilayer hierarchical structure and required strength qualities must be studied on a regular basis . A new approach for simulating acoustic monitoring of a layer-block elastic medium with multiple inclusions of distinct physical-mechanical hierarchical structures was devised for this purpose .

Method of research: An iterative process of solving the direct problem for the case of acoustic field penetrating three hierarchical inclusions of l, m and s-th ranks based on the use of 2D integral- differential equations is developed. The degree of hierarchy of inclusions is determined by the values of their ranks, which can be different.

Results: Hierarchical inclusions are located in different layers one on top of the other: the top is abnormally plastic, the second is anomalously elastic and the third is abnormally plastic. The degree of filling inclusions of each rank for all three hierarchical inclusions can be different.

Usage: The simulation results may be used to track the stability of structures in a complex hierarchical system when subjected to varied mechanical forces .