Wed, 09 Jul 2008 16:36:17 BST CiteULike: norris electricity http://www.citeulike.org/user/norris/tag/electricity CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/1885802 <i>Mathematics and Mechanics of Solids, Vol. 7, No. 2. (1 April 2002), pp. 165-189.</i><br /><br />It is an old idea in electromagnetic theory that the aether relations holding in vacuum should also apply in matter. However, this is not commonly used in formulating theories of electromagnetic effects in materials. To be formulated here are theories of magnetic and electric effects in deformable solids based on this idea. It turns out that these are somewhat different from theories in common usage, but it is not easy to determine which is better. In the formulations, some ideas concerning principles of virtual work are used that seem not to be well known. 10.1177/1081286502007002222 Electromagnetic Effects in Thermoelastic Materials JL Ericksen doi:10.1177/1081286502007002222 Mathematics and Mechanics of Solids, Vol. 7, No. 2. (1 April 2002), pp. 165-189. 2007-11-08T19:19:13-00:00 2002 Mathematics and Mechanics of Solids 7 2 165 189 electricity http://www.citeulike.org/user/norris/article/1885641 <i>Mathematics and Mechanics of Solids, Vol. 11, No. 1. (1 February 2006), pp. 23-47.</i><br /><br />Essentially, this is a critique of static theories covering magnetic effects and elastic deformations. For this, I just use general ideas of continuum theory and common ideas from the calculus of variations as it relates to energy minimization. I obtain the basic equations and jump conditions before even mentioning forces and torques, since descriptions of these have been controversial. 10.1177/1081286505055530 A Modified Theory of Magnetic Effects in Elastic Materials JL Ericksen doi:10.1177/1081286505055530 Mathematics and Mechanics of Solids, Vol. 11, No. 1. (1 February 2006), pp. 23-47. 2007-11-08T18:27:39-00:00 2006 Mathematics and Mechanics of Solids 11 1 23 47 electricity http://www.citeulike.org/user/norris/article/1885551 <i>Mathematics and Mechanics of Solids (31 January 2007), 1081286506069847.</i><br /><br />In research on materials, it is not unusual for workers to be unaware of good ideas and results produced long ago, and I will discuss a case in point. When workers became acquainted with radiation pressure, it stimulated them to consider the possibility that electromagnetic fields could not only exert forces on matter, but that matter could exert forces on fields, extending ideas of action and reaction to combinations of these. I will present a formulation of these ideas and a similar one about energies, then use them to formulate a theory of materials that can be magnetized and polarized, one that can be compared with various theories of this kind in the literature. There are important differences between the theory presented here and most of the others. So, this provides food for thought as to what should be taken as bases for formulating such theories. 10.1177/1081286506069847 Magnetizable and Polarizable Elastic Materials JL Ericksen doi:10.1177/1081286506069847 Mathematics and Mechanics of Solids (31 January 2007), 1081286506069847. 2007-11-08T18:01:24-00:00 2007 Mathematics and Mechanics of Solids 1081286506069847 electricity http://www.citeulike.org/user/norris/article/1885523 <i>Mathematics and Mechanics of Solids (10 September 2007), 1081286507079832.</i><br /><br />Two new variational principles for nonlinear magnetoelastostatics are derived. Each is based on use of two independent variables: the deformation function and, in one case the scalar magnetostatic potential, in the other the magnetostatic vector potential. The derivations are facilitated by use of Lagrangian magnetic field variables and constitutive laws expressed in terms of these variables. In each case all the relevant governing equations, boundary and continuity conditions emerge. These principles have a relatively simple structure and therefore offer the prospect of leading to finite-element formulations that can be used in the solution of realistic boundary-value problems. 10.1177/1081286507079832 On Variational Formulations in Nonlinear Magnetoelastostatics R Bustamante A Dorfmann Ray Ogden doi:10.1177/1081286507079832 Mathematics and Mechanics of Solids (10 September 2007), 1081286507079832. 2007-11-08T17:53:31-00:00 2007 Mathematics and Mechanics of Solids 1081286507079832 electricity http://www.citeulike.org/user/norris/article/1885047 <i>Archive for Rational Mechanics and Analysis, Vol. 21, No. 3. (1 January 1966), pp. 169-210.</i> Controllable states of elastic dielectrics M Singh AC Pipkin doi:10.1007/BF00253488 Archive for Rational Mechanics and Analysis, Vol. 21, No. 3. (1 January 1966), pp. 169-210. 2007-11-08T15:06:34-00:00 1966 Archive for Rational Mechanics and Analysis 21 3 169 210 electricity http://www.citeulike.org/user/norris/article/1884921 <i>Archive for Rational Mechanics and Analysis, Vol. 39, No. 2. (1 January 1970), pp. 89-107.</i><br /><br />A principle of objectivity is formulated for Galilei and Minkowski space-time structure. In the Galilei case it is the principle of Noll. A reduced form for arbitrary local and causal functionals is obtained. For materials of grade n it coincides with the result of Bressan, and for simple materials with that of Bragg. A principle of objectivity for relativistic continuum mechanics Lars Söderholm doi:10.1007/BF00281041 Archive for Rational Mechanics and Analysis, Vol. 39, No. 2. (1 January 1970), pp. 89-107. 2007-11-08T14:24:56-00:00 1970 Archive for Rational Mechanics and Analysis 39 2 89 107 electricity http://www.citeulike.org/user/norris/article/1884911 <i>Archive for Rational Mechanics and Analysis, Vol. 18, No. 2. (1 January 1965), pp. 127-166.</i> On relativistic worldlines and motions, and on non-sentient response Lincoln Bragg doi:10.1007/BF00282259 Archive for Rational Mechanics and Analysis, Vol. 18, No. 2. (1 January 1965), pp. 127-166. 2007-11-08T14:21:52-00:00 1965 Archive for Rational Mechanics and Analysis 18 2 127 166 electricity http://www.citeulike.org/user/norris/article/1880253 <i>Journal of Mathematical Physics, Vol. 11, No. 1. (1970), pp. 318-338.</i> Relativistically Dynamic Elastic Dielectrics Lincoln Bragg Journal of Mathematical Physics, Vol. 11, No. 1. (1970), pp. 318-338. 2007-11-07T18:29:10-00:00 1970 Journal of Mathematical Physics 11 1 318 338 elasticity electricity http://www.citeulike.org/user/norris/article/1874614 <i>(15 May 2000)</i><br /><br />This textbook is intended for undergraduate and graduate students taking an intermediate or advanced course in electromagnetism. It presents electromagnetism as a classical theory, based, like mechanics, on principles that are independent of the atomic constitution of matter. This book is unique amongst electrodynamics texts in its treatment of the precise manner in which electromagnetism is linked to mechanics and thermodynamics. Thus a clear distinction is maintained between such concepts as field and force, or radiation and heat. Applications include radiation from charged particles, electromagnetic wave propagation and guided waves, thermoelectricity, magnetohydrodynamics, piezoelectricity, ferroelectricity, paramagnetic cooling, ferromagnetism and superconductivity. There are 225 worked examples of dynamical and thermal effects of electromagnetic fields, and of effects resulting from the motion of bodies. The concise, methodological approach of this book will be valuable to students and will make it of special interest to tutors and lecturers. Electromagnetic Theory with 225 Solved Problems Attay Kovetz (15 May 2000) 2007-11-06T17:18:31-00:00 2000 Oxford University Press, USA electricity http://www.citeulike.org/user/norris/article/1847524 <i>(22 Mar 2003)</i><br /><br />We discuss the electromagnetic energy-momentum distribution and the mechanical forces of the electromagnetic field in material media. There is a long-standing controversy on these notions. The Minkowski and the Abraham energy-momentum tensors are the most well-known ones. We propose a solution of this problem which appears to be natural and self-consistent from both a theoretical and an experimental point of view. Electromagnetic energy-momentum and forces in matter Yuri Obukhov Friedrich Hehl (22 Mar 2003) 2007-10-31T15:30:32-00:00 2003 electricity http://www.citeulike.org/user/norris/article/1847509 <i>(8 Sep 2000)</i><br /><br />The axiomatic structure of the electromagnetic theory is outlined. We will base classical electrodynamics on (1) electric charge conservation, (2) the Lorentz force, (3) magnetic flux conservation, and (4) on the Maxwell-Lorentz spacetime relations. This yields the Maxwell equations. The consequences will be drawn, inter alia, for the interpretation and the dimension of the electric and magnetic fields. A gentle introduction to the foundations of classical electrodynamics: The meaning of the excitations (D,H) and the field strengths (E, B) Friedrich Hehl Yuri Obukhov (8 Sep 2000) 2007-10-31T15:25:12-00:00 2000 electricity http://www.citeulike.org/user/norris/article/1836396 <i>Physics of Phonons (1987), pp. 208-225.</i><br /><br />In correspondence to the two different descriptions of hydrodynamic motion by Euler and by Lagrange, there are two natural ways of defining phonons and the corresponding classical sound waves. Eulerian phonons turn out to have a momentum nk (k = wave vector), whereas Lagrangian phonons carry no momentum. This might suggest that the two definitions lead to different physical effects. That this is not the case is shown in detailed discussions of two examples: the sound pressure and the derivation of two-fluid equations. Equivalence of Eulerian and Lagrangian phonons: Sound pressure and two-fluid equations A Thellung doi:10.1007/3-540-18244-6_41 Physics of Phonons (1987), pp. 208-225. 2007-10-29T18:09:11-00:00 1987 Physics of Phonons 208 225 electricity http://www.citeulike.org/user/norris/article/1126891 <i>Archive of Applied Mechanics, Vol. 77, No. 2-3. (March 2007), pp. 177-184.</i> Material electromagnetic fields and material forces Trimarco Carmine doi:10.1007/s00419-006-0056-2 Archive of Applied Mechanics, Vol. 77, No. 2-3. (March 2007), pp. 177-184. 2007-02-27T11:11:05-00:00 2007 Archive of Applied Mechanics 0939-1533 77 2-3 177 184 Springer elasticity electricity