The stability and needed strength properties of novel materials having a multilayer hierarchical structure must be investigated on a regular basis. For this goal, a new method for simulating acoustic monitoring in a layer-block elastic medium with multiple inclusions of diverse physical-mechanical hierarchical structures was proposed.

Methodology of investigation: The usage of 2D integral- differential equations is used to build an iterative technique for addressing the direct issue for the situation of an acoustic field penetrating three hierarchical inclusions of l, m, and s-th ranks. The values of their ranks, which can differ, determine the degree of hierarchy of inclusions.

Results: Hierarchical inclusions are layered one on top of the other, with the top being abnormally plastic, the second being abnormally elastic, and the third being abnormally plastic. For all three hierarchical inclusions, the degree of filling inclusions of each tier can vary. Application: The simulation results can be used to track the stability of structures in a complex hierarchical system as they are subjected to different mechanical forces.

Author (s) Details

Olga Hachay
Institute of Geophysics, UB RAS named after Yu. P. Bulashevitch, Amundsen str.100, Yekaterinburg, 620016, Russia.

Andrey Khachay
Ural Federal University (Named after the first President of Russia Boris Yeltsin), Mira, 16, Yekaterinburg, 620002, Russia.

Oleg Khachay
Ural Federal University (Named after the first President of Russia Boris Yeltsin), Mira, 16, Yekaterinburg, 620002, Russia.

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