A finite element model for coupled 3D transient electromagnetic and structural dynamics problems

Wavelet transformation induced multi-time scaling (WATMUS) model for coupled transient electro-magnetic and structural dynamics finite element analysis

“…A comprehensive framework for solving the coupled transient electromagnetic and dynamic mechanical fields, based on the theory of electromagnetics in deforming media has been developed in [25]. The coupled model predicts the evolution of electric and magnetic fields in a substrate undergoing finite deformation under dynamic loading conditions.…”

“…Consequently, a one-way coupling between the two fields is considered, where only the EM variables are a ected by the deformation of the structure. The Lagrangian formulation in [25], which maps Maxwell's equations from spatial to reference material coordinates, is summarized next.…”

“…Following a detailed derivation presented in [25], the four Maxwell's equations in the reference configuration are written as:…”

“…Coupled boundary and finite element simulations of nonlinear elastostatics problems have been conducted in [24] where the surrounding space is modeled using boundary elements. In a recent paper [25], the authors have developed a generalized framework for coupling transient electromagnetic and dynamic mechanical fields to predict the evolution of electric and magnetic fields and their fluxes in a vibrating substrate undergoing finite deformation. The framework is based on the theory of electromagnetics in deforming media [26][27][28].…”

“…This paper is organized in the following sections. The framework for coupling transient electromagnetic and dynamic mechanical fields, based on developments in [25], is discussed in section 2. A brief review of a few existing multi-time scaling methods is given in section 3, followed by wavelet transformation induced multitime scaling (WATMUS) method development in section 4.…”