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Nonlinear Mechanics of Soft Fibrous Materials: 559 (CISM International Centre for Mechanical Sciences) - Hardcover
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<P>THE BOOK PRESENTS A STATE-OF-THE-ART OVERVIEW OF THE FUNDAMENTAL THEORIES, ESTABLISHED MODELS AND ONGOING RESEARCH RELATED TO THE MODELING OF THESE MATERIALS. TWO APPROACHES ARE CONVENTIONALLY USED TO DEVELOP CONSTITUTIVE RELATIONS FOR HIGHLY DEFORMABLE FIBROUS MATERIALS. ACCORDING TO THE PHENOMENOLOGICAL APPROACH, A STRAIN ENERGY DENSITY FUNCTION CAN BE DEFINED IN TERMS OF STRAIN INVARIANTS. THE OTHER APPROACH IS BASED ON KINETIC THEORIES, WHICH TREATS A FIBROUS MATERIAL AS A RANDOMLY ORIENTED INTER-TANGLED NETWORK OF LONG MOLECULAR CHAINS BRIDGED BY PERMANENT AND TEMPORARY JUNCTIONS. AT THE MICRO-LEVEL, THESE ARE ASSOCIATED WITH CHEMICAL CROSSLINKS AND ACTIVE ENTANGLEMENTS, RESPECTIVELY.</P><P>THE PAPERS INCLUDE CAREFULLY CRAFTED OVERVIEWS OF THE FUNDAMENTAL FORMULATION OF THE THREE-DIMENSIONAL THEORY FROM SEVERAL POINTS OF VIEW, AND ADDRESS THEIR EQUIVALENCES AND DIFFERENCES. ALSO INCLUDED ARE SOLUTIONS TO BOUNDARY-VALUE PROBLEMS WHICH ARE AMENABLE TO EXPERIMENTAL VERIFICATION. A FURTHER ASPECT IS THE ELASTICITY OF FILAMENTS, STABILITY OF EQUILIBRIUM AND THERMODYNAMICS OF THE MOLECULAR NETWORK THEORY.</P>
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The book presents a state-of-the-art overview of the fundamental theories, established models and ongoing research related to the modeling of these materials. Two approaches are conventionally used to develop constitutive relations for highly deformable fibrous materials. According to the phenomenological approach, a strain energy density function can be defined in terms of strain invariants. The other approach is based on kinetic theories, which treats a fibrous material as a randomly oriented inter-tangled network of long molecular chains bridged by permanent and temporary junctions. At the micro-level, these are associated with chemical crosslinks and active entanglements, respectively.
The papers include carefully crafted overviews of the fundamental formulation of the three-dimensional theory from several points of view, and address their equivalences and differences. Also included are solutions to boundary-value problems which are amenable to experimental verification. A further aspect is the elasticity of filaments, stability of equilibrium and thermodynamics of the molecular network theory.
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- VerlagSpringer
- Erscheinungsdatum2014
- ISBN 10 3709118379
- ISBN 13 9783709118375
- EinbandTapa dura
- Anzahl der Seiten305
- HerausgeberDorfmann Luis, Ogden Raymond W.
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Nonlinear Mechanics of Soft Fibrous Materials
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Springer, Wien, Springer Vienna, Springer
(2014)
ISBN 10: 3709118379
ISBN 13: 9783709118375
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book presents a state-of-the-art overview of the fundamental theories, established models and ongoing research related to the modeling of these materials. Two approaches are conventionally used to develop constitutive relations for highly deformable fibrous materials. According to the phenomenological approach, a strain energy density function can be defined in terms of strain invariants. The other approach is based on kinetic theories, which treats a fibrous material as a randomly oriented inter-tangled network of long molecular chains bridged by permanent and temporary junctions. At the micro-level, these are associated with chemical crosslinks and active entanglements, respectively.The papers include carefully crafted overviews of the fundamental formulation of the three-dimensional theory from several points of view, and address their equivalences and differences. Also included are solutions to boundary-value problems which are amenable to experimental verification. A further aspect is the elasticity of filaments, stability of equilibrium and thermodynamics of the molecular network theory. Artikel-Nr. 9783709118375
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