A theory of finite deformation magneto-viscoelasticity

Saxena, P. , Hossain, M. and Steinmann, P. (2013) A theory of finite deformation magneto-viscoelasticity. International Journal of Solids and Structures, 50(24), pp. 3886-3897. (doi: 10.1016/j.ijsolstr.2013.07.024)

Abstract

This paper deals with the mathematical modelling of large strain magneto-viscoelastic deformations. Energy dissipation is assumed to occur both due to the mechanical viscoelastic effects as well as the resistance offered by the material to magnetisation. Existence of internal damping mechanisms in the body is considered by decomposing the deformation gradient and the magnetic induction into ‘elastic’ and ‘viscous’ parts. Constitutive laws for material behaviour and evolution equations for the non-equilibrium fields are derived that agree with the laws of thermodynamics. To illustrate the theory the problems of stress relaxation, magnetic field relaxation, time dependent magnetic induction and strain are formulated and solved for a specific form of the constitutive law. The results, that show the effect of several modelling parameters on the deformation and magnetisation process, are illustrated graphically.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Saxena, Dr Prashant and Steinmann, Professor Paul
• Authors: Saxena, P., Hossain, M., and Steinmann, P.
• Subjects: Q Science > QA Mathematics; T Technology > TA Engineering (General). Civil engineering (General)
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal of Solids and Structures
• Publisher: Elsevier
• ISSN: 0020-7683
• ISSN (Online): 1879-2146
• Published Online: 02 August 2013
• Copyright Holders: Copyright © 2013 Elsevier
• First Published: First published in International Journal of Solids and Structures 50(24):3886-3897
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher