James B. Kelley

Bio: James B. Kelley is an academic researcher. The author has contributed to research in topics: Combustion & Calibration (statistics). The author has an hindex of 4, co-authored 7 publications receiving 167 citations.

Fundamentals of Electricity and Magnetism

Abstract: Fundamentals of electricity and magnetism , Fundamentals of electricity and magnetism , کتابخانه دیجیتالی دانشگاه علوم پزشکی و خدمات درمانی شهید بهشتی

Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface

Abstract: Paper 1 [1988 g][1] of this series began an investigation whose goal is a thermomechanics of two-phase continua based on Gibbs’s notion of a sharp phase-interface endowed with thermomechanical structure. In that paper a balance law, balance of capillary forces, was introduced and then applied in conjunction with suitable statements of the first two laws of thermodynamics; the chief results are thermodynamic restrictions on constitutive equations, exact and approximate free-boundary conditions at the interface, and a hierarchy of free-boundary problems. The simplest versions of these problems (the Mullins-Sekerka problems) are essentially the classical Stefan problem with the free-boundary condition u = 0 for the temperature replaced by the condition u = h K, where K is the curvature of the free-boundary and h > 0 is a material constant. This dependence on curvature renders the problem difficult, and apart from numerical studies involving linearization stability, there are almost no supporting theoretical results.

The method of virtual power in continuum mechanics: Application to coupled fields

Abstract: Using as main tools the principle of virtual power — in the form recently favored by French mechanicians - and continuum thermodynamics, this work of a synthetic nature develops in a “rational” manner and from a unified viewpoint the fully dynamical (albeit not relativistic) theory of electromagnetic continua. The resulting equations are those to be used by theoretical mechanicians, applied physicists and electronic engineers alike to study coupled electro-magneto-mechanical effects in electronic components. A fairly long account of the formal structure underlying the principle of virtual power is first given. Following then a simple purely mechanical application, a full illustration is given of the application of this principle to the theory of coupled fields in deformable continua, all states of magnetism and dielectricity being representable if one makes the appropriate adjustments. Other illustrations of the method concern the case of complicated schemes of elastic dielectrics, liquid crystals and ferrofluids. To end with a comparison with other energy approaches used nowadays in continuum physics is given.

Resolution of the Abraham-Minkowski debate: Implications for the electromagnetic wave theory of light in matter

Abstract: A century has now passed since the origins of the Abraham-Minkowski controversy pertaining to the correct form of optical momentum in media. Experiment and theory have been applied at both the classical and quantum levels in attempt to resolve the debate. The result of these efforts is the identification of Abraham’s kinetic momentum as being responsible for the overall center of mass translations of a medium and Minkowski’s canonical or wave momentum as being responsible for translations within or with respect to a medium. In spite of the recent theoretical developments, much confusion still exists regarding the appropriate theory required to predict experimental outcomes and to develop new applications. In this paper, the resolution of the longstanding Abraham-Minkowski controversy is reviewed. The resolution is presented using classical electromagnetic theory and logical interpretation of experiments disseminated over the previous century. Emphasis is placed on applied physics applications: modeling optical manipulation of cells and particles. Although the basic interpretation of optical momentum has been resolved, there is still some uncertainly regarding the complete form of the momentum continuity equation describing electromagnetics. Thus, while a complete picture of electrodynamics has still yet to be fully interpreted, this correspondence should help clarify the state-of-the-art view.

A Direct Discrete Formulation of Field Laws: The Cell Method

Abstract: We present a new numerical method for the solution of field equations. The essence of the method is to directly provide a discrete formu- lation of field laws, without using and requiring a differential formulation. It is proved that, for linear interpolation, the stiffness matrix so obtained coin- cides with the one of the Finite Element Method. For quadratic interpolation, however, the present stiff- ness matrix differs from that of FEM; moreover it is unsymmetric. It is shown that by using a parabolic interpolation, a convergence of the fourth order is obtained. This is greater than the one obtained with FEM, using the same interpolation.