Titlebook: Nonlocal Continuum Field Theories; A. Cemal Eringen (Emeritus Professor) Book 2002 Springer Science+Business Media New York 2002 atoms.cry

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Constitutive Equations,1966, their universality became clear in many diverse applications in many different fields. Here we postulate and discuss such axioms separately and give mathematical formulations. Later chapters contain many diverse applications to nonlocal memory-dependent elastic solids, fluids, electromagnetism

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Nonlocal Electromagnetic Theory, media, i.e., to write global balance laws involving E-M fields. This is achieved in Section 4.1. The localization involves some E-M residuals. Here too we are able to incorporate the nonlocal residuals into the E-M fields. In this way, there remains one surface residual only, relevant to the jump c

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Constitutive Equations of Nonlocal Electromagnetic Media,d a dissipation functional. To this end, we need to develop constitutive equations in the material frame of reference. Thus, the energy equations and the Clausius-Duhem (C-D) inequality are expressed in a material frame. Employing the additive functional, introduced in Section 3.2, we develop separa

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Nonlocal Linear Elasticity,construct here specific constitutive equations for the nonlocal linear elastic solids. To this end, in Section 6.1, we introduce a measure for the order of magnitude evaluation. With a linear strain measure . and small temperature changes . from a constant ambient temperature ., we write a quadratic

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Nonlocal Fluid Dynamics,n in Section 7.2. In Section 7.3 we give the solution of the channel flow problem. Here, the velocity profile come out parabolic, the same as in classical fluid dynamics. However, the shear stress is quite different. In fact, depending on the ratio of the internal characteristic length to the channe

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Nonlocal Linear Electromagnetic Theory, effects. These are given in Section 8.1. In Section 8.2, we develop the linear constitutive equations for the anisotropic and isotropic nonlocal media. For nondeformable media these equations are simplified in Section 8.3 where we give a deeper discussion of the dielectric and magnetic properties.

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Memory-Dependent Nonlocal Electromagnetic Elastic Solids,e E-M absorptions and viscous dissipation. Nonlocal continua with no memory, local media with memory, local theory, absence of E-M fields, and rigid media are given as special cases of the general constitutive equations. Field equations are collected in Section 11.2, so that the formulation is now r

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