Microcontinuum Field Theories Foundations And Solids
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Microcontinuum Field Theories
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Author : A. Cemal Eringen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Microcontinuum Field Theories written by A. Cemal Eringen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Microcontinuum field theories constitute an extension of classical field theories -- of elastic bodies, deformations, electromagnetism, and the like -- to microscopic spaces and short time scales. Material bodies are here viewed as collections of large numbers of deformable particles, much as each volume element of a fluid in statistical mechanics is viewed as consisting of a large number of small particles for which statistical laws are valid. Classical continuum theories are valid when the characteristic length associated with external forces or stimuli is much larger than any internal scale of the body under consideration. When the characteristic lengths are comparable, however, the response of the individual constituents becomes important, for example, in considering the fluid or elastic properties of blood, porous media, polymers, liquid crystals, slurries, and composite materials. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity.
Microcontinuum Field Theories Foundations And Solids
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Author : A. Cemal Eringen
language : en
Publisher:
Release Date : 1999
Microcontinuum Field Theories Foundations And Solids written by A. Cemal Eringen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Elasticity categories.
Microcontinuum Field Theories
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Author : A. Cemal Eringen
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03-30
Microcontinuum Field Theories written by A. Cemal Eringen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-30 with Science categories.
This volume extends and applies the ideas developed in Volume I, Microcontinuum Field Theories: Foundations and Solids, to liquid crystals, biological fluids and other microstretch and micomorphic fluids. It also discusses the properties of materials beyond the scope of classical field theories.
Elasticity
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Author : Martin H. Sadd
language : en
Publisher: Elsevier
Release Date : 2010-08-04
Elasticity written by Martin H. Sadd and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-04 with Technology & Engineering categories.
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Nonlocal Continuum Field Theories
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Author : A. Cemal Eringen
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-14
Nonlocal Continuum Field Theories written by A. Cemal Eringen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-14 with Science categories.
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.
Generalized Continua As Models For Classical And Advanced Materials
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2016-04-15
Generalized Continua As Models For Classical And Advanced Materials written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-15 with Science categories.
This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches
Current Developments In Solid Mechanics And Their Applications
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2025-07-07
Current Developments In Solid Mechanics And Their Applications written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-07 with Science categories.
This book is a collection of articles by eminent scientists from different countries who participated in the traditional international conference “Topical Problems of Continuum Mechanics” held at the Institute of Mechanics of the National Academy of Sciences of Armenia since 2007. The topics of the articles: Coupled Fields in Solids, Composites, Soil Mechanics, Fluid Mechanics, Mechanics of Nano-Systems, Structural Mechanics, Biomechanics, Hydraulics and Hydraulic Facilities, Experimental Mechanics.
Computational Continuum Mechanics Of Nanoscopic Structures
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Author : Esmaeal Ghavanloo
language : en
Publisher: Springer
Release Date : 2019-02-19
Computational Continuum Mechanics Of Nanoscopic Structures written by Esmaeal Ghavanloo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Science categories.
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.
Shell Like Structures
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2016-08-09
Shell Like Structures written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-09 with Science categories.
The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.
Gradient Enhanced Continuum Plasticity
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Author : George Z. Voyiadjis
language : en
Publisher: Elsevier
Release Date : 2020-03-27
Gradient Enhanced Continuum Plasticity written by George Z. Voyiadjis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-27 with Technology & Engineering categories.
Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models. - Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models - Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling - Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity - Describes micromechanical aspects from experimental observations