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Author: A. Cemal Eringen
Publisher: Springer Science & Business Media
ISBN: 1461205557
Category : Science
Languages : en
Pages : 336
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Book Description
Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. 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. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Author: A. Cemal Eringen
Publisher: Springer Science & Business Media
ISBN: 1461205557
Category : Science
Languages : en
Pages : 336
Get Book Here
Book Description
Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. 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. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Author: A. Cemal Eringen
Publisher: Springer Science & Business Media
ISBN: 9780387989693
Category : Science
Languages : en
Pages : 364
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Book Description
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.
Author: James D Lee
Publisher: World Scientific
ISBN: 9811201501
Category : Technology & Engineering
Languages : en
Pages : 523
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Book Description
This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.
Author: Gérard A. Maugin
Publisher: Springer Science & Business Media
ISBN: 1441956956
Category : Mathematics
Languages : en
Pages : 337
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Book Description
In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.
Author: A. Cemal Eringen
Publisher: Springer
ISBN: 9780387986203
Category : Science
Languages : en
Pages : 325
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Book Description
Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. 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. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0080922414
Category : Technology & Engineering
Languages : en
Pages : 553
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Book Description
Approx.552 pagesApprox.552 pages
Author: Alberto Borboni
Publisher: CRC Press
ISBN: 9781420008579
Category : Technology & Engineering
Languages : en
Pages : 416
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Book Description
Exploring the design and use of micro- and meso-actuators, this book begins with theory and a general synopsis of the state-of-the-art in theoretical research. It discusses how to employ modern approaches in research and design activity, then presents a systematic list of already available products and details their potential for use. Design possibilities based on new technologies are clearly separated from those due to scale reduction, aiding in the selection of proper technology. The author takes a multi-physic approach to guarantee a comprehensive modeling technique, while the many references to experimental data and to existing microacutators assure an effective applicability of proposed theories.
Author: Vladimir I. Erofeev
Publisher: Springer Nature
ISBN: 303060330X
Category : Technology & Engineering
Languages : en
Pages : 222
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Book Description
This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.
Author: Holm Altenbach
Publisher: Springer
ISBN: 3319775049
Category : Science
Languages : en
Pages : 335
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Book Description
This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show 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 efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
Author: P. Somasundaran
Publisher: CRC Press
ISBN: 1482299623
Category : Science
Languages : en
Pages : 842
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Book Description
Appending the Encyclopedia of Surface and Colloid Science by 42 entries as well as 3800 new citations, 1012 equations, and 485 illustrations and chemical structures, this important supplement summarizes a constellation of new theoretical and experimental findings related to chemical characterization, mechanisms, interfacial behavior, methods and mo
