Nonlinear Theory of Electroelastic and Magnetoelastic Interactions
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Beschreibung
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.
This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic 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 relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.
This book will provide a range of topics and up-to-date notations on the subject whereas many monographs available in the marketplace do not; the main reference for magnetoelasticity was published in 1966 and no longer available Nonlinear mechanics of magneto- and electro-sensitive materials is at the frontier of solid mechanics and has a profound impact on material science Includes supplementary material: sn.pub/extras
Autor*in
Luis Dorfmann
Themen in »Nonlinear Theory of Electroelastic and Magnetoelastic Interactions«
Electro-magnetomechanical interactions Electromagnetic Electrostatics Magnetoelastic Mechanical deformations
Stimmen zu »Nonlinear Theory of Electroelastic and Magnetoelastic Interactions«
From the book reviews:
“This is an excellent book devoted to a unified theory of nonlinear interactions of electroelastic and magnetoelastic fields. The presentation in this book is informative and useful for mathematicians interested in applications of the nonlinear PDE and boundary value problems.” (Vladimir Mityushev, zbMATH, Vol. 1291, 2014)()