Microcontinuum Field Theories PDF Download
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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
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
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: A. Cemal Eringen
Publisher: Springer
ISBN: 9781441931924
Category : Science
Languages : en
Pages : 0
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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: Ahmed Cemal Eringen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
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: A. Cemal Eringen
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages :
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Book Description
Author: Holm Altenbach
Publisher: Springer Science & Business Media
ISBN: 3642218555
Category : Technology & Engineering
Languages : en
Pages : 750
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Book Description
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: 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 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.
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.
