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Title: Mathematical modelling of non-linear magneto- and electro-active rubber-like materials
Author: Bustamante, Roger
ISNI:       0000 0001 3512 1089
Awarding Body: University of Glasgow
Current Institution: University of Glasgow
Date of Award: 2007
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Three main problems have been addressed: universal relations, the modelling of transversely isotropic magneto- and electro-active elastomers, and the variational formulation. The complete setoff linear universal relations was found for isotropic magneto- and electro-active elastomers. Some universal relations for some special simplified cases of the constitutive equations were also found. Two non-linear universal relations were studied, for the helical shear and for the anti-plane shear deformations. Two boundary value problems were solved using the finite difference method: one of them was the inflation and extension of a tube of finite length under the influence of a uniform axial magnetic field applied far away, and the other was the uniform extension of a cylinder with an electric field applied far away. The constitutive equations for transversely isotropic magneto- and electro-active elastomers were developed, and several simple boundary value problems were solved. For the case of transversely isotropic magneto-active elastomers a preliminary form for the energy function was proposed. Finally simple variational formulations for the magneto-elastic problem were found, and an extension of these formulations, which takes into account the interaction with a rigid semi-infinite body was proposed.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics