A peridynamic approach to analysis of coupled magneto-electro-mechanical systems

Abstract

A non-ordinary state-based peridynamic model(NOSBPD) is presented for linear piezoelectromagnetic material(PEM). The corresponding material model is developed by establishing the connection between the classical theory of piezoelectromagnetics and the newly proposed peridynamic framework. The variational approach and Hamiltonian principle are utilised to establish the equation of motion. This investigation shows the effectiveness of the proposed model to handle piezoelectromagnetic material. It is also shown that the considered stabilisation method effectively reduces the instabilities of NOSBPD. The dynamic behaviour of piezoelectromagnetic material in the proposed framework is investigated. The dispersion relations for stabilised versions of NOSBPD in one and two dimensions are established analytically for PEM. The graphs illustrate the influence of $\delta$ and different nonlocality functions on frequency, phase velocity, and group velocity. Also, the significant impact of critical coupling parameters on frequency is studied using graphical demonstration. Piezoelectromagnetic materials are used in a wide range of applications to constitute transducers such as actuators and sensors. Gaining insight into their wave and vibrational properties is indispensable for the advancement of reliable and optimised devices.