Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 157p-170p
In this paper we study the dynamics of piezoelectrical material (PEM) with nano-inhomogeneities. The boundary value model defined by the system of two partial differential equations and the boundary conditions for the generalized stress is mapped into Cellular Nanoscale Networks architecture. We study the dynamics of the obtained CNN model via harmonic balance technique. Validation and simulations are provided which illustrate the theoretical results. 2010 Mathematics Subject Classification: 92B20,74F15, 35K57, 35Q68.