Nonlocal Continuum Field Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlocal Continuum Field Theories write by A. Cemal Eringen. This book was released on 2007-06-14. Nonlocal Continuum Field Theories available in PDF, EPUB and Kindle. Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.
Wave Propagation in Nanostructures
Wave Propagation in Nanostructures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wave Propagation in Nanostructures write by Srinivasan Gopalakrishnan. This book was released on 2013-09-10. Wave Propagation in Nanostructures available in PDF, EPUB and Kindle. Wave Propagation in Nanostructures describes the fundamental and advanced concepts of waves propagating in structures that have dimensions of the order of nanometers. The book is fundamentally based on non-local elasticity theory, which includes scale effects in the continuum model. The book predominantly addresses wave behavior in carbon nanotubes and Graphene structures, although the methods of analysis provided in this text are equally applicable to other nanostructures. The book takes the reader from the fundamentals of wave propagation in nanotubes to more advanced topics such as rotating nanotubes, coupled nanotubes, and nanotubes with magnetic field and surface effects. The first few chapters cover the basics of wave propagation, different modeling schemes for nanostructures and introduce non-local elasticity theories, which form the building blocks for understanding the material provided in later chapters. A number of interesting examples are provided to illustrate the important features of wave behavior in these low dimensional structures.
Continuum Physics: Polar and non-local field theories
Continuum Physics: Polar and non-local field theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuum Physics: Polar and non-local field theories write by A. Cemal Eringen. This book was released on 1971. Continuum Physics: Polar and non-local field theories available in PDF, EPUB and Kindle.
Size-Dependent Continuum Mechanics Approaches
Size-Dependent Continuum Mechanics Approaches - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Size-Dependent Continuum Mechanics Approaches write by Esmaeal Ghavanloo. This book was released on 2021-04-02. Size-Dependent Continuum Mechanics Approaches available in PDF, EPUB and Kindle. This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.
Continuum Physics
Continuum Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuum Physics write by A Eringen. This book was released on 2012-12-02. Continuum Physics available in PDF, EPUB and Kindle. Continuum Physics, Volume III: Mixtures and EM Field Theories discusses the field theories for bodies composed of different substances, such as mixtures and interaction of electromagnetic effects with the deformable bodies. This book aims to present the mathematical foundations of nonlinear mechanical, electrical, and magnetic phenomena that take place in mixtures and materially uniform bodies. This volume consists of three parts. Part I is devoted to the development of the theory of mixtures, including kinematics, balance laws, and constitutive equations for bodies consisting of several different substances. Part II is concerned with the mechanics of deformable bodies interacted by electromagnetic fields. The deformation produced by EM fields, EM fields resulting from the deformation of bodies, and plethora of other physical phenomena arising from mechanical and EM interactions are also covered. Micromagnetism is covered in Part III, including considerations arising from the interaction of strong magnetic fields with the inner structure of the body. This publication is valuable to students and researchers interested in mixtures and EM field theories.
