An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials

Jin, D.; Ledger, P.D.; Gil, A.J.

Abstract

The physical understanding of coupled electro-magneto-mechanics has long been a topic of particular importance for scientists. However, it is only in more recent times that the computational mechanics community has been involved, due to the particularly demanding nature of these coupled problems. In this paper, we extend our previous work (Gil AJ, Ledger PD. A coupled hp finite element scheme for the solution of two-dimensional electrostrictive materials. Int J Numer Methods Eng 2012;91:1158–1183) to make it possible to capture more complex coupled phenomena, namely electrostriction and magnetostriction of elastic solids and incompressible Newtonian viscous fluids. From the formulation standpoint, a total Cauchy stress tensor is introduced combining the effects of the mechanical deformation and the ponderomotive force and, for the case of conservative materials, the weak form is obtained from the stationary points of a suitable enthalpy energy formulation. In order to ensure accuracy of results hp-finite elements are employed. Moreover, for computational efficiency, the scheme is implemented in a monolithic manner via a Newton–Raphson strategy with consistent linearisation. A series of well known numerical examples are presented to demonstrate the influence of the electromagnetic phenomena when fully coupled with fluid and solid fields.

Citation

Jin, D., Ledger, P., & Gil, A. (2014). An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials. Computers and Structures, 133, 131-148. https://doi.org/10.1016/j.compstruc.2013.10.009

• Journal Article Type: Article
• Acceptance Date: Oct 7, 2013
• Online Publication Date: Dec 17, 2013
• Publication Date: 2014-03
• Deposit Date: Jun 12, 2023
• Journal: Computers & Structures
• Print ISSN: 0045-7949
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 133
• Pages: 131-148
• DOI: https://doi.org/10.1016/j.compstruc.2013.10.009
• Keywords: Computer Science Applications; Mechanical Engineering; General Materials Science; Modeling and Simulation; Civil and Structural Engineering
• Additional Information: This article is maintained by: Elsevier; Article Title: An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials; Journal Title: Computers & Structures; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.compstruc.2013.10.009; Content Type: article; Copyright: Copyright © 2013 Elsevier Ltd. All rights reserved.