Nonlocal Theory of Material Media

Nonlocal Theory of Material Media PDF Author: Dominik Rogula
Publisher:
ISBN: 9780387816333
Category : Condensed matter
Languages : en
Pages : 278

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Book Description

Nonlocal Theory of Material Media

Nonlocal Theory of Material Media PDF Author: Dominik Rogula
Publisher:
ISBN: 9780387816333
Category : Condensed matter
Languages : en
Pages : 278

Get Book

Book Description


Nonlocal Continuum Field Theories

Nonlocal Continuum Field Theories PDF Author: A. Cemal Eringen
Publisher: Springer Science & Business Media
ISBN: 0387226435
Category : Science
Languages : en
Pages : 376

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Book Description
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.

Nonlocal Theory of Material Media

Nonlocal Theory of Material Media PDF Author: D. Rogula
Publisher: Springer
ISBN: 3709128900
Category : Science
Languages : en
Pages : 281

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Book Description


Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Handbook of Nonlocal Continuum Mechanics for Materials and Structures PDF Author: George Z. Voyiadjis
Publisher: Springer
ISBN: 9783319587271
Category : Science
Languages : en
Pages : 0

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Book Description
This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and engineers in industry concerned with nonlocal continuum mechanics for materials and structures as well as a supplement for graduate courses on a range of topics.

Local and Nonlocal Micromechanics of Heterogeneous Materials

Local and Nonlocal Micromechanics of Heterogeneous Materials PDF Author: Valeriy A. Buryachenko
Publisher: Springer Nature
ISBN: 3030817849
Category : Technology & Engineering
Languages : en
Pages : 1012

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Book Description
This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.

Generalized Models and Non-classical Approaches in Complex Materials 1

Generalized Models and Non-classical Approaches in Complex Materials 1 PDF Author: Holm Altenbach
Publisher: Springer
ISBN: 3319724401
Category : Science
Languages : en
Pages : 760

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Book Description
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.

50+ Years of AIMETA

50+ Years of AIMETA PDF Author: Giuseppe Rega
Publisher: Springer Nature
ISBN: 3030941957
Category : Technology & Engineering
Languages : en
Pages : 505

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Book Description
The book retraces the history of the Italian Association of Theoretical and Applied Mechanics (AIMETA) since its establishment in 1965. AIMETA is the official Italian association of mechanics adhering to IUTAM (International Union of Theoretical and Applied Mechanics), which organizes and coordinates a meaningful number of research activities, the most important of which are the biennial National Congress and the internationally renowned journal “Meccanica”, published by Springer. Besides collecting and organizing all related important data and information, as far as possible, by distinguishing among the five scientific areas – general mechanics, solids, structures, fluids, machines – encompassed by AIMETA, the history of the association is assumed as a proper perspective to overview the evolution of theoretical and applied mechanics in Italy over about the last fifty years. This is accomplished in the first part of the book. with also a specific focus on the mechanics of solids and structures, where the biographies of a meaningful number of recognized Italian scholars of mechanics in all areas are also provided, along with testimonials and memories by a few senior people meaningfully involved with AIMETA and Italian mechanics. The second part gives an account, although unavoidably incomplete, of recent developments of mechanical sciences in Italy, as reflected also in the activities of AIMETA and with reference to the international context. Contributions by a number of invited senior scholars, still very active, consist of overviews on some scientific themes in the various areas, summaries of achievements of research groups, expressions of research viewpoints, prospects for future developments.

Computational Methods Based on Peridynamics and Nonlocal Operators

Computational Methods Based on Peridynamics and Nonlocal Operators PDF Author: Timon Rabczuk
Publisher: Springer Nature
ISBN: 3031209060
Category : Technology & Engineering
Languages : en
Pages : 327

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Book Description
This book provides an overview of computational methods based on peridynamics and nonlocal operators and their application to challenging numerical problems which are difficult to deal with traditional methods such as the finite element method, material failure being “only” one of them. The authors have also developed a higher-order nonlocal operator approaches capable of solving higher-order partial differential equations on arbitrary domains in higher-dimensional space with ease. This book is of interest to those in academia and industry.

Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 3

Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 3 PDF Author: Tom Proulx
Publisher: Springer Science & Business Media
ISBN: 1461402131
Category : Technology & Engineering
Languages : en
Pages : 301

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Book Description
Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials represents one of eight volumes of technical papers presented at the Society for Experimental Mechanics Annual Conference on Experimental and Applied Mechanics, held at Uncasville, Connecticut, June 13-16, 2011. The full set of proceedings also includes volumes on Dynamic Behavior of Materials, Mechanics of Biological Systems and Materials; MEMS and Nanotechnology; Optical Measurements, Modeling and, Metrology; Experimental and Applied Mechanics, Thermomechanics and Infra-Red Imaging, and Engineering Applications of Residual Stress.

Computational Continuum Mechanics of Nanoscopic Structures

Computational Continuum Mechanics of Nanoscopic Structures PDF Author: Esmaeal Ghavanloo
Publisher: Springer
ISBN: 3030116506
Category : Science
Languages : en
Pages : 275

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Book Description
This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour. It combines fundamental notions and advanced concepts, covering both the theory of nonlocal elasticity and the mechanics of nanoscopic structures and systems. By reporting on recent findings and discussing future challenges, the book seeks to foster the application of nonlocal elasticity based approaches to the emerging fields of nanoscience and nanotechnology. It is a self-contained guide, and covers all relevant background information, the requisite mathematical and computational techniques, theoretical assumptions, physical methods and possible limitations of the nonlocal approach, including some practical applications. Mainly written for researchers in the fields of physics, biophysics, mechanics, and nanoscience, as well as computational engineers, the book can also be used as a reference guide for senior undergraduate and graduate students, as well as practicing engineers working in a range of areas, such as computational condensed matter physics, computational materials science, computational nanoscience and nanotechnology, and nanomechanics.