Nonlinear Theory of Electroelastic and Magnetoelastic Interactions [electronic resource] / by Luis Dorfmann, Ray W. Ogden.Material type: TextLanguage: English Publisher: Boston, MA : Springer US : Imprint: Springer, 2014Description: XI, 313 p. 19 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781461495963Subject(s): Engineering | Mechanics, applied | Materials | Computer engineering | Engineering | Electrical Engineering | Theoretical and Applied Mechanics | Continuum Mechanics and Mechanics of MaterialsAdditional physical formats: Printed edition:: No titleDDC classification: 621.3 LOC classification: TK1-9971Online resources: Click here to access online
Introduction -- Electromagnetic Theory -- Nonlinear Elasticity Background -- Nonlinear Electroelastic Interactions -- Electroelastic Boundary-Value Problems -- Nonlinear Magnetoelastic Interactions -- Magnetoelastic Boundary-Value Problems -- Variational Formulations in Electroelasticity and Magnetoelasticity -- Incremental Equations -- Electroelastic Stability -- Magnetoelastic Wave Propagation -- Basic Vector and Tensor Operations -- Index.
This book provides a unified theory of nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classical theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize the basic ingredients of continuum mechanics that are required to account for the deformability of material and present nonlinear constitutive frameworks for electroelastic and magnetoelastic interactions in a highly deformable material. The equations contained in the book are used to formulate and solve a variety of representative boundary-value problems for both nonlinear electroelasticity and magnetoelasticity.