- James Carleton, Sandia National Laboratories
- Wen Dong, Sandia National Laboratories

The coupled equations of continuum electromechanics [1] govern phenomena where materials in motion are subjected to mechanical and electromagnetic forces. Simplified equations are valid for a large class of important problems in which the time scale of interest is much greater than the time for electromagnetic waves to traverse the domain. In electroquasistatic (EQS) problems, the magnetic induction in Faraday’s law is negligible and electromagnetic energy is stored in the electric field, while in magnetoquasistatic (MQS) problems, the displacement current in the Ampere-Maxwell law is negligible and electromagnetic energy is stored in the magnetic field [2,3].

Sensors, power sources, and other devices that convert mechanical energy to and from electromagnetic energy can usually be modeled using numerical methods that solve either the EQS or MQS equations. Complex nonlinear, history-dependent constitutive relationships for piezoelectric, pyroelectric, ferroelastic, ferroelectric, and ferromagnetic materials, which are based on phenomena at the grain, domain, and crystal scales, are often required. Multiferroic devices and applications may require both EQS and MQS solutions. Electromechanical devices may also need to be treated as a lumped element in a circuit, which requires coupling to a differential algebraic equation solver.

This minisymposium focuses on methods and applications for quasistatic electromechanical systems. Topics include (but are not limited to):

• numerical methods for solving the coupled electromechanical equations

• algorithms for coupling the equations of mechanics and electromagnetics,

• constitutive models and experimental characterization for electric or magnetic materials,

• simulations of sensors, power sources, or other applications.

[1] Attay Kovetz. Electromagnetic Theory. Oxford University Press. New York. 2000.

[2] Herbert H. Woodson and James Melcher. Electromechanical Dynamics. John Wiley & Sons, Inc. New York.

[3] James R. Melcher. Continuum Electromechanics. The Massachusetts Institute of Technology. 1981.