Theory and computation of electromagnetic fields and thermomechanical structure interaction for systems undergoing large deformations

03/28/2018
by   B. E. Abali, et al.
0

The governing equations for electromagneto-thermomechanical systems are well established and thoroughly derived in the literature, but have been limited to small deformations. This assumption provides an "ease" in the formulation: electromagnetic fields are governed in a Eulerian frame, whereby the thermomechanics is solved in a Lagrangean frame. It is possible to map the Eulerian frame to the current placement of the matter and the Lagrangean frame to a reference placement. The assumption of small deformations eliminates the distinction between current and initial placement such that electromagnetism and thermomechanics are formulated in the same frame. We present a rigorous and thermodynamically consistent derivation of governing equations for fully coupled electromagneto-thermomechanical systems properly handling finite deformations. A clear separation of the different frames is necessary. In this work, we solve thermomechanics in the Lagrangean frame and electromagnetism in the Eulerian frame and manage the interaction between the fields. The approach is similar to its analog in fluid structure interaction, but additionally challenging because the electromagnetic governing equations must also be solved within the solid body while following their own different set of transformation rules. We further present a mesh-morphing algorithm necessary to accommodate finite deformations to solve the electromagnetic fields outside of the material body. We illustrate the use of the new formulation by developing an open-source implementation using the FEniCS package and applying this implementation to several engineering problems in electromagnetic structure interaction undergoing large deformations.

READ FULL TEXT

page 22

page 25

page 26

page 27

research
04/22/2022

A consistent co-rotational formulation for aerodynamic nonlinear analysis of flexible frame structures

The design of structures submitted to aerodynamic loads usually requires...
research
06/02/2021

A monolithic one-velocity-field optimal control formulation for fluid-structure interaction problems with large solid deformation

In this article, we formulate a monolithic optimal control method for ge...
research
07/02/2019

Parallel time-stepping for fluid-structure interactions

We present a parallel time-stepping method for fluid-structure interacti...
research
08/25/2021

Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach

We present a novel formulation based on an immersed coupling of Isogeome...
research
05/15/2023

Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems

In this work, we develop a new algorithm to solve large-scale incompress...
research
09/01/2017

Kafka versus RabbitMQ

Publish/subscribe is a distributed interaction paradigm well adapted to ...

Please sign up or login with your details

Forgot password? Click here to reset