Microcontinuum Field Theories

Author : A. Cemal Eringen
Publisher : Springer Science & Business Media
ISBN 13 : 1461205557
Total Pages : 336 pages
Book Rating : 4.55/5 ( download)

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Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9780387986203
Total Pages : 325 pages
Book Rating : 4.00/5 ( download)

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Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer. This book was released on 1999-06-04 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 9780387989693
Total Pages : 364 pages
Book Rating : 4.92/5 ( download)

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Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2001-03-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ahmed Cemal Eringen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.98/5 ( download)

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Download or read book Microcontinuum Field Theories written by Ahmed Cemal Eringen and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Holm Altenbach
Publisher : Springer Science & Business Media
ISBN 13 : 3642218555
Total Pages : 753 pages
Book Rating : 4.52/5 ( download)

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Download or read book Shell-like Structures written by Holm Altenbach and published by Springer Science & Business Media. This book was released on 2011-07-03 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 1441956956
Total Pages : 337 pages
Book Rating : 4.58/5 ( download)

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Download or read book Mechanics of Generalized Continua written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2010-03-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Science & Business Media
ISBN 13 : 0387226435
Total Pages : 386 pages
Book Rating : 4.39/5 ( download)

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Download or read book Nonlocal Continuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2007-06-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Alberto Borboni
Publisher : CRC Press
ISBN 13 : 9781420008579
Total Pages : 416 pages
Book Rating : 4.79/5 ( download)

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Download or read book Meso- to Micro- Actuators written by Alberto Borboni and published by CRC Press. This book was released on 2008-05-05 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : James D Lee
Publisher : World Scientific
ISBN 13 : 9811201501
Total Pages : 523 pages
Book Rating : 4.09/5 ( download)

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Download or read book Advanced Continuum Theories And Finite Element Analyses written by James D Lee and published by World Scientific. This book was released on 2020-01-08 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Martin H. Sadd
Publisher : Academic Press
ISBN 13 : 0080922414
Total Pages : 553 pages
Book Rating : 4.16/5 ( download)

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Download or read book Elasticity written by Martin H. Sadd and published by Academic Press. This book was released on 2009-02-25 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approx.552 pages Approx.552 pages