nonlinear theory of electroelastic and magnetoelastic interactions

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Nonlinear Theory Of Electroelastic And Magnetoelastic Interactions

Author : Luis Dorfmann
ISBN : 9781461495963
Genre : Technology & Engineering
File Size : 21. 29 MB
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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.

Generalized Models And Non Classical Approaches In Complex Materials 1

Author : Holm Altenbach
ISBN : 9783319724409
Genre : Technology & Engineering
File Size : 56. 15 MB
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This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

The Role Of Mechanics In The Study Of Lipid Bilayers

Author : David Steigmann
ISBN : 9783319563480
Genre : Technology & Engineering
File Size : 61. 19 MB
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This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, and computational modelling.

Constitutive Models For Rubber X

Author : Alexander Lion
ISBN : 9781351840392
Genre : Technology & Engineering
File Size : 58. 77 MB
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In order to develop innovative products, to reduce development costs and the number of prototypes and to accelerate development processes, numerical simulations become more and more attractive. As such, numerical simulations are instrumental in understanding complicated material properties like chemical ageing, crack propagation or the strain- and temperature-induced crystallisation of rubber. Therefore, experimentally validated and physically meaningful constitutive models are indispensable. Elastomers are used for products like tyres, engine and suspension mounts or seals, to name a few. The interest in modelling the quasi-static stress-strain behaviour was dominant in the past decades, but nowadays the interests also include influences of environmental conditions. The latest developments on the material behaviour of elastomers are collected in the present volume. Constitutive Models for Rubber X is a comprehensive compilation of nearly all oral and poster contributions to the European Conference on Constitutive Models for Rubber (Munich, 28-31 August 2017). The 95 highly topical contributions reflect the state of-the-art in material modelling and testing of elastomers. They cover the fields of material testing and processing, filler reinforcement, electromagnetic sensitive elastomers, dynamic properties, constitutive modelling, micromechanics, finite element implementation, stress softening, chemical ageing, fatigue and durability. In the area of rubbery materials and structures, applied research will play an important role also in the coming decades. Constitutive Models for Rubber X is of interest to developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of engineering and material sciences.

Mechanics And Electrodynamics Of Magneto And Electro Elastic Materials

Author : Raymond Ogden
ISBN : 3709107016
Genre : Technology & Engineering
File Size : 30. 4 MB
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This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.

Nonlinear Waves In Elastic Crystals

Author : Gérard A. Maugin
ISBN : 0198534841
Genre : Mathematics
File Size : 65. 29 MB
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The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known aselastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to thecrystal structure and these are analysed using the equations of rational mechanics. In this way the student is introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. Alarge number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.

Applied Mechanics Reviews

Author :
ISBN : OSU:32435065742082
Genre : Mechanics, Applied
File Size : 36. 72 MB
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Handbuch Der Physik

Author : Siegfried Flügge
ISBN : PSU:000016175181
Genre : Physics
File Size : 83. 93 MB
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Static And Dynamic Coupled Fields In Bodies With Piezoeffects Or Polarization Gradient

Author : Jerzy Nowacki
ISBN : 9783540316701
Genre : Science
File Size : 22. 20 MB
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This book is devoted to the theory of coupled electro-magneto-thermo-elastic fields excited in different bodies by various sources, both static and dynamic. It presents the classical piezoelectric and piezomagnetic effects, the Mindlin’s electroelastic coupling due to a polarization gradient, and different combinations of these effects with thermoelasticity.

Electromagnetic Field Matter Interactions In Thermoelasic Solids And Viscous Fluids

Author : Kolumban Hutter
ISBN : UVA:X030116003
Genre : Mathematics
File Size : 35. 64 MB
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This book delivers a thorough derivation of nonrelativistic interaction models of electromagnetic field theories with thermoelastic solids and viscous fluids, the intention being to derive unique representations for the observable field quantities. This volume is intended for and will be useful to students and researchers working on all aspects of electromagneto-mechanical interactions in the materials sciences of complex solids and fluids.

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